ftp.xmission.com/2014.06.ftp.xmission.com.tar/ftp.xmission.com/pub/lists/fractint/archive/fractint.200001

Internet Message Format | 2000-01-31 | 510KB

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 01-01-00 (The First Fractal) (c)
Date: 01 Jan 2000 01:58:39 -0500 (EST)


FOTD -- January 01, 2000

Fractal enthusiasts and visionaries:

As I write these words, it is 11:01pm of December 31, 1999.  Y2K
is one hour away -- 500 miles offshore, rushing westward toward
the east coast at 720mph (1150kph).  In preparation for the big
event I have done . . . absolutely nothing.  I am totally
unprepared for the power failure, communications breakdown, lack
of food, water and gasoline, riots, martial law, insurrection
and overthrow of the government that will take place starting in
57 minutes.  In fact, the crisis is so severe that I will not
post this FOTD until Y2K has safely moved on to the Central time
zone.

To celebrate the arrival of the new everything, I have found
another fractal with a midget at the center.  Since it is the
first fractal of the new day, month, year, *century and
*millennium, I named the picture "The First Fractal".

1-1/2 HOUR BREAK-----------------------------------------

It is now 12:45am of January 1, 2000, and the millennium has
arrived.  The lights are still on, the telephone is still
working, the water is still running, the local convenience store
is still open along with the self-service gasoline station,
there is no riot, martial law, insurrection, or overthrow of the
government.  Y2K was a failure.

But not all is lost.  The bug has bitten the old outdated
computer on which I am now working, which is not Y2K compatible.
Instead of rolling over to January 1, 2000, it reset itself to
January 1, 1980, which is no problem, since everything else on
it works fine.  Since the machine is a 486-100mhz, it's not
worth the cost of a bios update.  Most often I'll post from one
of the other machines, which rolled over properly, but when I
post from this one, as I am doing today, the date will read 20
years behind the time.

The day's image is a midget in the fractal that results when the
formula 0.4*(0.222Z^(-5)+1.983Z^(-1))+C is iterated.  It's one
of those scenes filled with fancy holes that frequently appears
when two different powers of Z are combined.

The parameter file runs in a little under five minutes, making
the download worth the effort.  That download is available on
Usenet at:

          <alt.binaries.pictures.fractals>

and on the web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was a repeat of yesterday -- sunny skies,
light winds, and a perfect temperature of 55F (13C) that made
the cats happy.

It's now time to shut down for the evening and call it a
millennium.  Until next time, take care, and happy new
everything.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

The_First_Fractal  { ; time=0:04:41.72 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-8.99684655773076600/-5.84931288165860400\
  /2519545/1/22.499 params=0.222/-5/1.983/-1/-0.6/0
  float=y maxiter=1800 bailout=25 inside=0 logmap=-74
  symmetry=none periodicity=10
  colors=000X9O<5>gAeiBhkBk<3>sCwvZdxfMzm4pmA<3>EIWJFQ\
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  QzdJzmCzv<2>fzm<4>WzP
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

The_First_Fractal  { ; time=0:04:41.72 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-8.99684655773076600/-5.84931288165860400\
  /2519545/1/22.499 params=0.222/-5/1.983/-1/-0.6/0
  float=y maxiter=1800 bailout=25 inside=0 logmap=-74
  symmetry=none periodicity=10
  colors=000X9O<5>gAeiBhkBk<3>sCwvZdxfMzm4pmA<3>EIWJFQ\
  NDLoEB<2>tUK<3>`ZDW`BRa9Mb7Ic6<3>emYkodpqj<3>SbfM_eU\
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  eszdmzf<3>UzlPzmMzn<3>Czn9zn7znNzjbzf<3>lzHozAqz4<3>\
  QzdJzmCzv<2>fzm<4>WzP
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) Y2K bug exterminated
Date: 01 Jan 2000 02:44:06 -0500 (EST)


The Y2K bug that bit my old run-down computer has been exterminated.
   :-)

I manually set the machine to the right year.  The FOTD's will now
continue uninterrupted with the correct year regardless of the
machine from which they are posted.

Jim M.


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-------------------------------------------------------------------------------

From: Gedeon Peteri <[e-mail]>
Subject: (fractint) Updated web site
Date: 01 Jan 2000 10:57:29 -0500

Happy New Year to all! I celebrated new year's eve at home, uploading 17
new Euler images to my web site. May I invite you to take a look? As
always, parameter files are available for download. Your comments are
welcome.

Gedeon

--
Fractals: http://members.xoom.com/gedeonp/fractals.html
Member Infinite Fractal Loop
Last updated: January 1, 2000 -- New Euler images
Photography: http://members.xoom.com/gedeonp/photos.html
Last updated: July 15, 1999 -- Four new pages



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 02-01-00 (A Fractal Original) (c)
Date: 02 Jan 2000 00:47:22 -0500 (EST)


FOTD -- January 02, 2000

Fractal enthusiasts and visionaries:

Having eliminated the final vestiges of the Y2K bug last
evening, I turned my energies today to the task of finding the
FOTD.  After a 30-minute search, I found my image lurking in the
fractal that results when a variation of the formula
0.25Z^(-5)+Z+1/C is calculated.  I named the picture "A Fractal
Original" because this image represents the first time that this
particular midget has ever been seen.

The parent fractal was calculated at a value of real(p3) very
near the point where the image grows to infinite size and turns
inside-out.  The imag(p3) parameter, which controls the escape
radius is also critical in this image.  A slightly smaller value
causes the image to vanish; a greater value causes the image to
break up into fragmented chaos.

At a little over one minute, the parameter file is not too
challenging.  And the JPEG image is available as always at:

          <alt.binaries.pictures.fractals>

and at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was foggy most of the day, with a
temperature of 40F (4.5C) that was a bit chilly for the fractal
cats.  And now, I see it's time to settle into my overstuffed
chair before the TV and watch one of those great old Saturday
night sci-fi movies.  Until tomorrow, when the philosophy may
return to life with a vengeance, take care, and rest easy now
that the Y2K disaster, like all previous forecasts of disaster,
has failed to materialize.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

A_Fractal_Original { ; time=0:01:14.65 on a p200, 640x480
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-91.23836119057567000/0/5894.311
  params=0.25/-5/1/1/-1.1/320000 float=y maxiter=1200
  bailout=25 inside=0 logmap=43 symmetry=xaxis
  periodicity=0
  colors=00000003A00A00A00Atzzqyzmvz<2>elz<3>e_zzXdeUz\
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  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

A_Fractal_Original { ; time=0:01:14.65 on a p200, 640x480
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-91.23836119057567000/0/5894.311
  params=0.25/-5/1/1/-1.1/320000 float=y maxiter=1200
  bailout=25 inside=0 logmap=43 symmetry=xaxis
  periodicity=0
  colors=00000003A00A00A00Atzzqyzmvz<2>elz<3>e_zzXdeUz\
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  ozyozqozhozaozUqzL0z90zC0zD0zG0zI0zJ0zM
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD / Fractal Art
Date: 02 Jan 2000 10:49:41 -0500 (EST)

At 01:28 PM 12/31/99 -0800, Mark Cristenson wrote:

>First, for a guy who has officially jumped off the fractal art
>bandwagon, you are still producing work that I enjoy.
>I especially liked Tornado, Merlin, Mandelbrot Madhouse,
>Deep Blue, and Greetings.

Thanks much.  I was experiencing a flurry of good fractal luck
when I found those images.  Right now, my fractal luck, or
inspiration if you will, has slacked off a bit.  But it will
return.

>Second, as I hinted in my most recent fractal gallery update
><http://www.hooked.net/~mchris/fractin1.htm#contest99>,
>I also wonder whether I am a fractal artist or just an explorer
>who occasionally produces some beautiful images.  Just
>what I need, another identity crisis! ;-)

IMO, it's fairly easy to tell if you're a fractal explorer or artist
or anywhere in between.  There is no sharp dividing line.  A fractal
explorer gets his enjoyment from discovering some interesting new
thing that the numbers have done; a fractal artist gets his enjoyment
when he sees the image he has created, and when others admire his
work.

>Seriously though, I have to wonder if this is a division between
>fractal art and elegant mathematical images, or just a bifurcation
>*within* fractal art.  Call it a difference in style.

Basically, it is up to the individual to decide if he/she is an
explorer or an artist, or if there is even a difference between the
two.

Jim Muth
[e-mail]


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 03-01-00 (Spinning and Twisting) (c)
Date: 03 Jan 2000 00:07:32 -0500 (EST)


FOTD -- January 03, 2000

Fractal enthusiasts and visionaries:

Today's fractal with its twisted midget arises from a
combination of Z^2.5 and Z^(-0.7071).  It's one of those images
where the open areas surrounding the midget are more interesting
than the midget itself.  I named the picture "Spinning and
Twisting" when I was impressed by the feeling that the midget is
being rudely twisted by some giant unseen hand.

With so much open area, the image is slow to render from the
parameter file.  But I have provided salvation in the form of
the JPEG'd image file, which has been posted for several hours
to:

          <alt.binaries.pictures.fractals>

and to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The reason the discussion is so short is because I spent most of
the day enjoying the fractal weather, and the rest of the time
scrounging for the day's fractal.  But I can't be blamed; the
sunny skies and temperature of 68F (20C) were perfect for
anything imaginable, except winter sports.

And now the day is finished.  The fractal shoppe is quiet, the
fractal cats are quiet, and soon the fractal keyboard will be
quiet.  But I'll return in 24 hours with another fractal and a
55 percent chance of a good dose of fractal philosophy.  Until
then, take care, and don't feel disappointed about the failure
of Y2K to strike.  Y3K is only 365,240 days away.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Spinning-Twisting  { ; time=0:20:52.30 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.98612884271879700/+2.69685233983904500\
  /5.028579e+009/1/-145 params=-0.01/2.5/10/-0.7071/0/0
  float=y maxiter=12000 bailout=25 inside=0 logmap=245
  symmetry=none periodicity=10
  colors=000T0UT0TV1UX2Z<3>d6jf7lh8n<2>nBt<3>gKkeMidKf\
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  4>jzSizQgzN<3>czBez5<8>Gz`EzcBzg<3>0zt5zs9zr
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Spinning-Twisting  { ; time=0:20:52.30 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.98612884271879700/+2.69685233983904500\
  /5.028579e+009/1/-145 params=-0.01/2.5/10/-0.7071/0/0
  float=y maxiter=12000 bailout=25 inside=0 logmap=245
  symmetry=none periodicity=10
  colors=000T0UT0TV1UX2Z<3>d6jf7lh8n<2>nBt<3>gKkeMidKf\
  bRd<2>YXZXKXVaU<3>PiMNkKUnHcpFmrDmtBrv9rx7mvC<3>XoU<\
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  4>jzSizQgzN<3>czBez5<8>Gz`EzcBzg<3>0zt5zs9zr
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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Post Message:   [e-mail]
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-------------------------------------------------------------------------------

From: Edurne Larraza Mendiluze <[e-mail]>
Subject: (fractint) math, informatics and art
Date: 03 Jan 2000 09:43:06 +0100 (MET)



Hello:

I am new in this mailing list and I am interested in the relation between
mathematics, informatics and art. Could anybody tell me if there is any
book or article related to that.

    Thanks.



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-------------------------------------------------------------------------------

From: "Ricardo M. Forno" <[e-mail]>
Subject: RE: (fractint) FOTD, 01-01-00 (The First Fractal) (c)
Date: 03 Jan 2000 10:29:10 -0300

Jim:
My PC did approximately the same, i.e., it signalled January 4th, 1980 (it
is also a 486 SX)  but after that I manually set the date to January 1st,
2000, and it kept it even after turning power off, so why dont you try todo
the same with yours?
----- Original Message -----
Cc: <[e-mail]>
Sent: Saturday, January 01, 2000 3:58 AM


>
> FOTD -- January 01, 2000
>
> Fractal enthusiasts and visionaries:
>
> As I write these words, it is 11:01pm of December 31, 1999.  Y2K
> is one hour away -- 500 miles offshore, rushing westward toward
> the east coast at 720mph (1150kph).  In preparation for the big
> event I have done . . . absolutely nothing.  I am totally
> unprepared for the power failure, communications breakdown, lack
> of food, water and gasoline, riots, martial law, insurrection
> and overthrow of the government that will take place starting in
> 57 minutes.  In fact, the crisis is so severe that I will not
> post this FOTD until Y2K has safely moved on to the Central time
> zone.
>
> To celebrate the arrival of the new everything, I have found
> another fractal with a midget at the center.  Since it is the
> first fractal of the new day, month, year, *century and
> *millennium, I named the picture "The First Fractal".
>
> 1-1/2 HOUR BREAK-----------------------------------------
>
> It is now 12:45am of January 1, 2000, and the millennium has
> arrived.  The lights are still on, the telephone is still
> working, the water is still running, the local convenience store
> is still open along with the self-service gasoline station,
> there is no riot, martial law, insurrection, or overthrow of the
> government.  Y2K was a failure.
>
> But not all is lost.  The bug has bitten the old outdated
> computer on which I am now working, which is not Y2K compatible.
> Instead of rolling over to January 1, 2000, it reset itself to
> January 1, 1980, which is no problem, since everything else on
> it works fine.  Since the machine is a 486-100mhz, it's not
> worth the cost of a bios update.  Most often I'll post from one
> of the other machines, which rolled over properly, but when I
> post from this one, as I am doing today, the date will read 20
> years behind the time.
>
> The day's image is a midget in the fractal that results when the
> formula 0.4*(0.222Z^(-5)+1.983Z^(-1))+C is iterated.  It's one
> of those scenes filled with fancy holes that frequently appears
> when two different powers of Z are combined.
>
> The parameter file runs in a little under five minutes, making
> the download worth the effort.  That download is available on
> Usenet at:
>
>           <alt.binaries.pictures.fractals>
>
> and on the web at:
>
>           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
> The fractal weather was a repeat of yesterday -- sunny skies,
> light winds, and a perfect temperature of 55F (13C) that made
> the cats happy.
>
> It's now time to shut down for the evening and call it a
> millennium.  Until next time, take care, and happy new
> everything.
>
>
> Jim Muth
> [e-mail]
>
>
> START FORMULA==============================================
>
> MandelbrotMix4 {; Jim Muth
> a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
> g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
> k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
> z=k*((a*(z^b))+(d*(z^f)))+c,
> |z| < l
> }
>
> END FORMULA================================================
>
> START PARAMETER FILE=======================================
>
> The_First_Fractal  { ; time=0:04:41.72 on a p200, SF5
>   reset=2000 type=formula formulafile=critical.frm
>   formulaname=MandelbrotMix4 function=recip passes=1
>   center-mag=-8.99684655773076600/-5.84931288165860400\
>   /2519545/1/22.499 params=0.222/-5/1.983/-1/-0.6/0
>   float=y maxiter=1800 bailout=25 inside=0 logmap=-74
>   symmetry=none periodicity=10
>   colors=000X9O<5>gAeiBhkBk<3>sCwvZdxfMzm4pmA<3>EIWJFQ\
>   NDLoEB<2>tUK<3>`ZDW`BRa9Mb7Ic6<3>emYkodpqj<3>SbfM_eU\
>   _H<3>WILWDMW9NUtcKiOAZ9<3>A_AA_BA_BA_BA_B<3>aHXhDao8\
>   fv4k<2>i_g<3>bUo`Sq_RsYPuXOv<3>ghrjmqmrpowo<3>TyOOyH\
>   IyADy3<3>hz6pz7wz7<3>WzOPzTIzXBz`4zd<2>Uzo<2>dzD<3>I\
>   zjCzr7zz<3>Lz_<3>8zL<3>mzE<3>szAtz9uz8czDMzI3zD<4>Xz\
>   8bz7hz6OzL4zZ<3>EzVHzUJzTGzfEztkzu`zwRzxOzdMzLKz1<4>\
>   FziEzr<2>Uzq<3>3z_hzY<3>Zz`XzaVza<2>Mzy<3>VzqYzo_zma\
>   zkczj_zgXze<3>gzvizzIzaXzZkzWpzS<3>XzbSzeNzhJzj<3>lz\
>   eszdmzf<3>UzlPzmMzn<3>Czn9zn7znNzjbzf<3>lzHozAqz4<3>\
>   QzdJzmCzv<2>fzm<4>WzP
>   }
>
> END PARAMETER FILE=========================================
>
> START 20.0 PAR-FORMULA FILE================================
>
> The_First_Fractal  { ; time=0:04:41.72 on a p200, SF5
>   reset=2000 type=formula formulafile=critical.frm
>   formulaname=MandelbrotMix4 function=recip passes=1
>   center-mag=-8.99684655773076600/-5.84931288165860400\
>   /2519545/1/22.499 params=0.222/-5/1.983/-1/-0.6/0
>   float=y maxiter=1800 bailout=25 inside=0 logmap=-74
>   symmetry=none periodicity=10
>   colors=000X9O<5>gAeiBhkBk<3>sCwvZdxfMzm4pmA<3>EIWJFQ\
>   NDLoEB<2>tUK<3>`ZDW`BRa9Mb7Ic6<3>emYkodpqj<3>SbfM_eU\
>   _H<3>WILWDMW9NUtcKiOAZ9<3>A_AA_BA_BA_BA_B<3>aHXhDao8\
>   fv4k<2>i_g<3>bUo`Sq_RsYPuXOv<3>ghrjmqmrpowo<3>TyOOyH\
>   IyADy3<3>hz6pz7wz7<3>WzOPzTIzXBz`4zd<2>Uzo<2>dzD<3>I\
>   zjCzr7zz<3>Lz_<3>8zL<3>mzE<3>szAtz9uz8czDMzI3zD<4>Xz\
>   8bz7hz6OzL4zZ<3>EzVHzUJzTGzfEztkzu`zwRzxOzdMzLKz1<4>\
>   FziEzr<2>Uzq<3>3z_hzY<3>Zz`XzaVza<2>Mzy<3>VzqYzo_zma\
>   zkczj_zgXze<3>gzvizzIzaXzZkzWpzS<3>XzbSzeNzhJzj<3>lz\
>   eszdmzf<3>UzlPzmMzn<3>Czn9zn7znNzjbzf<3>lzHozAqz4<3>\
>   QzdJzmCzv<2>fzm<4>WzP
>   }
>
> frm:MandelbrotMix4 {; Jim Muth
> a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
> g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
> k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
> z=k*((a*(z^b))+(d*(z^f)))+c,
> |z| < l
> }
>
> END 20.0 PAR-FORMULA FILE==================================
>
>
> --------------------------------------------------------------
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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) RE: FOTD, 01-01-00 (The First Fractal) (c)
Date: 03 Jan 2000 09:36:13 -0500 (EST)

At 10:29 AM 1/3/00 -0300, you wrote:

>Jim:
>My PC did approximately the same, i.e., it signalled January 4th, 1980 (it
>is also a 486 SX)  but after that I manually set the date to January 1st,
>2000, and it kept it even after turning power off, so why dont you try todo
>the same with yours?

I manually set the date to Jan 01, 2000 a few minutes after I posted
the FOTD.  The only problem came when I entered the date as 01-01-00
and got an "invalid date" error message.  Entering the date as
01-01-2000 solved the problem.  The only problem at this time is with
my news-reader, which is having trouble arranging the articles in
proper order, but this is a very minor glitch.  The fractals still
work, and that's the important thing.   :-)

Jim M.


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-------------------------------------------------------------------------------

From: "George M.Curtin Jr." <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 12:45:28 -0500

As a  long time Fractint user, through many versions, my vote is YES to this
idea. I think we should include links to the various tutorials that exist in
cyberspace as well. (I just joined this list and plan to very involved in
the goings on, since Fractint is a major hobby of mine.)

George Curtin
----- Original Message -----
Sent: Thursday, December 30, 1999 9:33 AM


> I was wondering whether anyone would find use in a project(s) I have in
mind-
>
> a:  compiling the fractint doc into windows(95+) help file format...
> b:  compiling a fractint FAQ into windows(95+) help file format...
>
> This would be something I could do as my thanks to the Stone Soup Group
for
> the program.....and it would allow others of us non-programmers to help
> contribute to this tremendous group effort.  Of course this entire work
would
> be subject to the final  editorial comments of the Stone Soup Group or
> designated spokesperson(s).....
>
> Of course I could use small amounts of help (tidbits of FAQ's submitted by
> readers, and ideas for keywords, links and jumps in each section of the
> fractint.doc to facilitate looking up different topics in the help file.
>
> I'd envision this as an evolving work, issued periodically much as
fractint,
> so that periodically the suggestions and improvements would be introduced
in
> rev level format.
>
> While I've been dabbling (and poorly) in visual basic programming for 7 or
8
> years, I do fairly well with the help file part, so whipping this up with
the
> WYSIWYG editor I have makes this project fairly simple...
>
> Would this be of help?  Comments, suggestions?  If this thread is
off-topic,
> email privately for the thread to continue, and I'll keep all informed on
> this concept and whether its worthy of launching.  I've gotten the first
few
> pages into a shell for "demo purposes"
>
> Thanks
> Paul
> [e-mail]
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   [e-mail]
> Get Commands:   [e-mail] "help"
> Administrator:  [e-mail]
> Unsubscribe:    [e-mail] "unsubscribe fractint"





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-------------------------------------------------------------------------------

From: "Jack W" <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 18:12:43 GMT

The idea of a Windows help file format for the Fractint documentation etc.
is a great one: may I also suggest producing a Compiled HTML Help (.chm)
form? This has the advantage of being easy to assemble from .htm files and
(as a more recent specification) contains more features and is easier to
use.

If help is needed with this project, I would be glad to lend a hand.

Best Wishes,

Jack Whelpton ([e-mail])
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) math, informatics and art
Date: 03 Jan 2000 11:20:47 -0700


There are lots of fractal books that cover this ground between math,
computer science and art.  One of the most famous is Benoit
Mandelbrot's book simply entitled "Fractal Geometry of Nature".
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Tim Wegner <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 21:10:03 -0600

Jack wrote:

> The idea of a Windows help file format for the Fractint documentation
etc.
> is a great one: may I also suggest producing a Compiled HTML Help
(.chm)
> form? This has the advantage of being easy to assemble from .htm files
and
> (as a more recent specification) contains more features and is easier to
> use.
>
> If help is needed with this project, I would be glad to lend a hand.

I'm prejudiced against the Microsoft help format because I find it
frustrating to use. But I have no objection to somewhat converting
to this format if it would be usefule to someone.

How does compiled html work?

The spanky.triumf.ca web site already has what amounts to the
complete docs in html done by Noel Giffin. Anyone working on an
html version of the docs should be aware of this and coordinate
with Noel.

I don't know how much longer we will keep our own hypertext
format. It was invented before html by Ethan Nagel. It might make
more sense at some point to integrate html help directly into
fractint.

FWIW we have decided to start releasing the developer versions to
the public. These aren't official releases, but rather a matter of
giving everyone access to the alpha/beta versions. We're up to
patch five now, I just need to figure out some mechanics of doing
this. Maybe this needs to be called version 20.0.05. I mention this
because it has some relation to maintaining html of Microsoft help
docs. Noel usually does a big hit of html revision when we release,
but it could also be done patch by patch.

Tim


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) long sabatical quickie pars
Date: 03 Jan 2000 22:10:34 EST

After a long time off the list...off all computers actually...i am officially
posting again.
just wanted to say:
1. Thank God for the evolver!
2. Its good to see Jim's FOTD (the only reason i read fractal_art) on  the
Fractint List.
3. Jim Weaver, i really liked Lesprl11.gif. Check out my Octo_lair
4. My postings are very technically basic, nothing fancy builtins julias
mandelbrot...
5. I'm only posting my frm file, the rest are in the general orgform
distribution.  if you don't have them i can post them (if you don't have
orgform you should get it.)
6. all the create dates are the same because i review and resave every image
before posting (haven't done this in ages hope everything goes smooth.)
7. Arctic_borielus is slow but very much worth the wait.

Hope you enjoy them as much as i did.
Good comments welcomed. Criticism gladly taken.


frm:Regula_falsi2{
     IF(|p1|==0)
    z=pixel
     ELSE
    z=p1
     ENDIF
 x0=(1,1), c=x1=pixel:
 fx0=x0*x0+pixel,
 fx1=x1*x1+pixel,
 z=z-p2*(x1-x0)*fx1/(fx1-fx0),
 x2=z, x0=x1, x1=x2
.0000001<|(x2)|
}


artic_borielus     { ;   0:01:42.71
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=rspf0001.frm
  formulaname=regula_falsi2 passes=1
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  params=0.6360972930082095/-0.9834589678640095/0.3860896633808405/-0.4948\
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  colors=000E0l<3>j0Gr08z00z60<3>za0zi0zq0zy0tz0<3>Pz0Hz0Ex5<3>3jT0gZ0_c0R\
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  }

Diatom03           { ;   0:00:07.09
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=phoenix corners=-1.428754/1.501351/-1.08696/1.110619
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  oGypGypHz
  }

Diatom04           { ;   0:00:11.20
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=phoenix
  corners=0.58559508/1.0635/-0.18337951/0.17504917
  params=-1.534632404553362/0.2930387279885251/2 float=y maxiter=500
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  colors=000055033000<9>P00R00U00<2>`00c00d44<7>qaareetii<2>xvvzzzyvv<8>lO\
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  }

tendril            { ;   0:00:09.89
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-1.553436/1.54718/-1.168488/1.163071
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  }

tendril2           { ;   0:00:15.76
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-1.069138/1.056442/-0.8013306/0.7993317
  params=1.070110171819208/0.6295440229499191 inside=0
  potential=256/1000/0 sound=off
  colors=p0w<9>K0NH0JD0F<3>000<9>bbbfffjjj<3>zzz<9>OOOKKKGGG<3>000L00<8>k0\
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  }

tendril3           { ;   0:00:12.47
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-1.069138/1.056442/-0.8013306/0.7993317
  params=1.157911923581652/1.151074831385235 inside=0
  potential=256/1000/0 sound=off
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  }

tendril4           { ;   0:00:16.04
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-1.069138/1.056442/-0.8013306/0.7993317
  params=1.02640766624958/0.7111505172887355 inside=0
  potential=256/1000/0 sound=off
  colors=000fzygzz<3>fyzeyzdxz<2>avyauxasxarwbqvbpv<4>lhqofpqeo<3>yZjzXizW\
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  Z2d_1fa<3>0mg2ni3pk6ql8rn<3>MwsPxtTxu<3>czx
  }

tendril5           { ;   0:00:14.23
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-1.877457/1.866684/-1.413223/1.408035
  params=0.4615710928678242/1.059488784447767 inside=0 outside=summ
  potential=256/1000/0 sound=off
  colors=000avs<3>fywgyxgyx<3>izzjzzkzz<3>nyzoyzqyz<3>uvxwvxxuw<3>zrtzrtzq\
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  }

tendril6           { ;   0:00:06.15
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=lambdafn function=sin
  corners=-2.192383/2.185532/-1.651001/1.64534
  params=0.593533127842036/1.295030640583514 inside=0 outside=real
  potential=256/1000/0 sound=off
  colors=000Nzj<3>JziIzhHzhGzgFzgDzf<32>ILEIJDIIC<3>JD9KC8KB7<3>K53K32K21L\
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  }

Octo_lair          { ;   0:01:46.17
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=mandel
  corners=-0.1567387665/-0.1499777345/0.6709617299/0.6486054741/-0.1435198\
  275/0.6533734281 params=0.3001312295907468/-0.6930259102145452
  float=y maxiter=1000 bailout=200 inside=bof60 logmap=yes sound=off
  colors=000000<3>EI9IMBLRE<3>_hOcmQfqTjvVmvWpwY<230>Q39Q39Q29<3>P189fNNNm
  }

pre_suposed        { ;   0:00:05.98
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=julia
  corners=1.293952/-1.29395/-1.725277/1.725259/-1.29395/1.725259
  params=0.3471588837608122/0.04094990254592253 float=y maxiter=500
  outside=summ logmap=old decomp=256 sound=off
  colors=000<5>110220220320330<153>xv7xv7yw7yw7zx8<32>wd6vc6vc6<2>va6v`6wY\
  5<3>yM1zJ0yJ0<32>A30830720<3>000P2VN2W
  }

pre_suposed2       { ;   0:00:04.67
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=julia
  corners=1.293952/-1.29395/-1.725277/1.725259/-1.29395/1.725259
  params=-0.05962232904475441/-0.7613511930685677 float=y maxiter=500
  outside=summ logmap=old decomp=256
  colors=000<5>110220220320330<153>xv7xv7yw7yw7zx8<32>wd6vc6vc6<2>va6v`6wY\
  5<3>yM1zJ0yJ0<32>A30830720<3>000P2VN2W
  }

pre_suposed3       { ;   0:00:12.74
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=julia
  corners=0.7558175/0.34633924/-0.11099748/0.43497354/0.34633924/0.4349735\
  4 params=-0.7741521914062766/-0.1695057388005541 float=y maxiter=500
  outside=summ logmap=old decomp=256 sound=off
  colors=000<5>110220220320330<153>xv7xv7yw7yw7zx8<32>wd6vc6vc6<2>va6v`6wY\
  5<3>yM1zJ0yJ0<32>A30830720<3>000P2VN2W
  }

figura_02          { ;   0:00:11.04
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=mandel passes=1
  corners=-0.134107825406/-0.134012936409/0.649692964738/0.649764131486
  params=-0.315530869472335/-0.554734946745201 float=y maxiter=10000
  inside=0 sound=off
  colors=000055033000<9>P00R00U00<2>`00c00d44<3>kLLlPPnUU<3>tiiummwrrxvvzz\
  z<9>lOOjKKiGG<3>c00<9>F00D00A00<2>300000020<8>0P00R00U0<3>0c0<9>bqbfsfjt\
  j<3>zzz<9>OlOKjKGiG<3>0c0<9>0F00D00A0<2>030000002<8>00P00R00U<3>00c<9>bb\
  qffsjjt<3>zzz<9>OOlKKjGGi<3>00c<9>00F00D00A<2>003000022<8>0PP0RR0UU<3>0c\
  c<9>bqqfssjtt<3>zzz<9>OllKjjGii<3>0cc<12>088
  }

figura_03          { ;   0:00:09.23
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
                     ; It's another HT varient this time applied to the
pheonix
  reset=2000 type=formula formulafile=_p.frm formulaname=pheot
  passes=1 corners=-1.608463/1.608463/-1.206347/1.206347
  params=0.04597613452558978/0.0008087405011139156 float=y maxiter=256
  inside=2 logmap=7 periodicity=0 sound=off
  colors=000iGF<3>c00<9>F00D00A00<2>300000020<8>0P00R00U0<3>0c0<9>bqafsejt\
  i<3>zzy<9>OlNKjJGiF<3>0c0<9>0F00D00A0<2>030000001<8>00O00Q00T<3>00b<9>bb\
  pffrjjs<3>zzy<9>OOkKKiGGh<3>00b<9>00E00C009<2>002000021<8>0PO0RQ0UT<3>0c\
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  0<2>`00c00d43<7>qa`redtih<2>xvuzzyyvu<9>jKJ
  }

figura_04          { ;   0:07:22.70
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=frac_ml.frm formulaname=quartc
  passes=1 corners=-3.299331/0.153637/-0.05399222/2.535734
  params=0.3891043733024079/0.3467055269020661 float=y maxiter=1024
  inside=zmag outside=15 periodicity=0 sound=off
  colors=p0w<9>K0NH0JD0F<3>000<9>bbbfffjjj<3>zzz<9>OOOKKKGGG<3>000L00<8>k0\
  0<4>z00<2>p00l00h00d00a00<3>N00J00F00<3>000<9>bL0fN0jP0<3>zX0<9>OC0KA0G8\
  0<3>000<9>__0cb0gf0<3>ut0<9>ML0II0FE0<3>000GA4<7>7c26g25k2<2>2v10z00w0<8\
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  l
  }

figura_06          { ;   0:00:10.43
                     ; Created Jan 02, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_h.frm formulaname=ht1 passes=1
  corners=-1.426323/1.426323/-1.069742/1.069742
  params=0.117040009765923/-0.06646931363872188 float=y maxiter=256
  logmap=7 periodicity=0 sound=off
  colors=p0w304000<9>bbbfffjjj<3>zzz<9>OOOKKKGGG<3>000L00<8>k00<4>z00<2>p0\
  0l00h00d00a00<3>N00J00F00<3>000<9>bL0fN0jP0<3>zX0<9>OC0KA0G80<3>000<9>__\
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  P<3>z0X<9>O0CK0AG08<3>000<6>N0QQ0UT0Y<3>f0lj0om0sm0s<12>708
  }

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-------------------------------------------------------------------------------

From: "James R. McKenzie" <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 23:10:49 -0500

Can't extract Tim's e-address from the list so please excuse the non-direct
approach here.

Tim, is FRACTINT's hypertext stuff based on Dan Rollins' X-Text Hypertext
composer.  No technical reason I'm just curious.  I friend's son somehow
heard about it and he wanted to know what it looked like and well, if it
is(FRACTINT's Help hypertext that is) then I can show him that.  Don't know
what his interest is though.  He 18, next week it could be links to central
park. (yuck)

Anyway that's my manutial output.



                             T H A N K   Y O U


                             James R. McKenzie


                         [e-mail]

----- Original Message -----
Sent: Monday, January 03, 2000 10:10 PM
>
 >
 >
> I don't know how much longer we will keep our own hypertext
> format. It was invented before html by Ethan Nagel. It might make
> more sense at some point to integrate html help directly into
> fractint.
>

>
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   [e-mail]
> Get Commands:   [e-mail] "help"
> Administrator:  [e-mail]
> Unsubscribe:    [e-mail] "unsubscribe fractint"
>


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-------------------------------------------------------------------------------

From: "David Jones" <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 18:15:42 -1000

Of course, this requires W9x or NT, and (last I knew)
Internet Explorer. Kind of useless if you want any
reasonable definition of portability.

On  3 Jan 00 at 18:12, Jack W wrote:

> The idea of a Windows help file format for the Fractint
> documentation etc. is a great one: may I also suggest
> producing a Compiled HTML Help (.chm) form? This has the
> advantage of being easy to assemble from .htm files and
> (as a more recent specification) contains more features
> and is easier to use.
>
> If help is needed with this project, I would be glad to
> lend a hand.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Sometimes writing can be like a knife. The point is pretty useless without the handle and the rest of the blade! (D.Jones)



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-------------------------------------------------------------------------------

From: Tim Wegner <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 22:39:11 -0600

James wrote:

> Can't extract Tim's e-address from the list so please excuse the non-direct
> approach here.

My address occurs several times in your message message <grin!>

> > Administrator:  [e-mail]

That's me.


> Tim, is FRACTINT's hypertext stuff based on Dan Rollins' X-Text Hypertext
> composer.

No, it was designed and written from scratch my Rthan Nagel. It
was one of many pioneering features in Fractint that's now out of
date.

Tim


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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) project idea
Date: 03 Jan 2000 21:52:27 -0700


In article <[e-mail]>,
    "David Jones" <[e-mail]>  writes:

> Of course, this requires W9x or NT, and (last I knew)
> Internet Explorer. Kind of useless if you want any
> reasonable definition of portability.

Personally I think the most reasonable course of action is to have the
existing fractint 'help compiler' convert its internal format to HTML
for output.

There is existing code that knows how to parse this format and deal
with pagination for printed output (don't forget it also generates
fractint.doc from the internal help format).  This is a useful feature
that ain't broke, so don't fix it.

I think it would be better and easier to add HTML output or other
text markup languages (LaTeX anyone? :) to the existing code than
ditching everything that's there.

Ultimately, there will probably be a time to say goodbye to fractint's
internal help file format, but its still pretty good.
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 04-01-00 (Outburst) (c)
Date: 04 Jan 2000 01:37:45 -0500 (EST)


FOTD -- January 04, 2000

Fractal enthusiasts and visionaries:

Today turned unexpectedly busy, which kept me from reaching the
midget that I had intended to be the fractal of the day.  But
the midget which would have been the FOTD is lurking in today's
image, and will finally appear as tomorrow's FOTD.

To a midget hunter, the location of the midget at the left edge
of the shaft about 2/3 of the way up is fairly obvious.  But
though I failed to reach the midget, today's picture is not all
that bad, reminding one as it does of a weird scene on the
surafce of some totally alien planet.  I named the picture
"Outburst" because the brilliant shaft shooting upward in the
background seems to have burst from the ground.

It is a very slow image, requiring almost 1-1/2 hours on a fast
machine, which is one of the reasons that I lacked the time to
reach my intended picture.  The far more convenient JPEG image
has been posted to Usenet at:

          <alt.binaries.pictures.fractals>

and to the web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The weather was once again ridiculously warm, though not as
sunny as yesterday.  The temperature of 68F (20C) was perfect
for the cats, who for some reason chose not to go outdoors.

Due to the rush, the fractosophy will be delayed until tomorrow,
when I shall humbly return in my full glory with another
fractal.  Until then, take care, and want for nothing.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Outburst           { ; time=1:20:26.52 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06482412360505936/-0.24218337711670330\
  /162.796/1/-55 params=1/2/-0.0615/-1/0/0 float=y
  maxiter=6000 bailout=25 inside=0 logmap=yes
  symmetry=none periodicity=10
  colors=000bie<2>bc_<6>KJPIGOFDM<3>51HMQ_bmrenfhnW7Ho\
  IPlSXjbdgoZz<3>mhlljh0fu<2>`kizBG<5>sTSrWUqZW<3>mjcR\
  Me<2>gfeen9<3>hmLimOilR<3>llb0jt<8>SskVtjYui<3>iyemz\
  wlzqlzkczQmzUtzXzz_zzbwzg<2>wzfmzefzeize8zX<7>UzaXzb\
  _zb<2>gzdjzenz7<4>mzMmzPlzS<3>lzcYzR<3>fz_hzajzc4zg<\
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  zkvzkuzltzPsz<4>cnzfmzimzPmz<4>cmzfmzimzUmz<3>`mzamy\
  cmx<3>imtkms2mr<3>cmmtmm<7>ommommnmm<3>lmmdmmgmmjmmV\
  mm<3>cmmfmmhmmjmmHmm<3>mmmlmmlmm<6>lmslmtkmu<3>lmylm\
  zlmz<3>lmzlmzlmz<2>lmzvmz<6>qmz
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Outburst           { ; time=1:20:26.52 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06482412360505936/-0.24218337711670330\
  /162.796/1/-55 params=1/2/-0.0615/-1/0/0 float=y
  maxiter=6000 bailout=25 inside=0 logmap=yes
  symmetry=none periodicity=10
  colors=000bie<2>bc_<6>KJPIGOFDM<3>51HMQ_bmrenfhnW7Ho\
  IPlSXjbdgoZz<3>mhlljh0fu<2>`kizBG<5>sTSrWUqZW<3>mjcR\
  Me<2>gfeen9<3>hmLimOilR<3>llb0jt<8>SskVtjYui<3>iyemz\
  wlzqlzkczQmzUtzXzz_zzbwzg<2>wzfmzefzeize8zX<7>UzaXzb\
  _zb<2>gzdjzenz7<4>mzMmzPlzS<3>lzcYzR<3>fz_hzajzc4zg<\
  3>Uze`zefzeqz4<4>mzWlz`dzyezwfzxfzy<3>hzzizzizzjzzjz\
  zkvzkuzltzPsz<4>cnzfmzimzPmz<4>cmzfmzimzUmz<3>`mzamy\
  cmx<3>imtkms2mr<3>cmmtmm<7>ommommnmm<3>lmmdmmgmmjmmV\
  mm<3>cmmfmmhmmjmmHmm<3>mmmlmmlmm<6>lmslmtkmu<3>lmylm\
  zlmz<3>lmzlmzlmz<2>lmzvmz<6>qmz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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From: [e-mail]
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 02:24:41 EST

I should have a first cut in help format ready within a week or so.  The next
phase will be to put all the keywords and extra jumps in other than the links
from the table of contents.

Paul

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From: [e-mail]
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 02:25:54 EST

In a message dated 01/03/2000 8:16:10 PM Pacific Standard Time,
[e-mail] writes:

<< The idea of a Windows help file format for the Fractint
 > documentation etc. is a great one: may I also suggest
 > producing a Compiled HTML Help (.chm) form? >>

I haven't worked in that format.  I am using rtf, or at least I think I can
export in rtf, if that will help anyone.

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From: Tonton Th <[e-mail]>
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 09:59:09 +0100

Phil McRevis wrote:
>
> In article <[e-mail]>,
>     "David Jones" <[e-mail]>  writes:
>
> I think it would be better and easier to add HTML output or other
> text markup languages (LaTeX anyone? :) to the existing code than
> ditching everything that's there.
>

    Or you can use something like Sgmltools who can, from
    the same source, spit text, html, TeX, RTF and others.


--
            ----------------------------------------------
       <  tonton Th  /  Thierry Boudet  /  Mr Oulala  >
        ----------------------------------------------

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From: "Thore Berntsen" <[e-mail]>
Subject: (fractint) New version of Fractint Screen Saver available
Date: 04 Jan 2000 11:18:20 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_003D_01BF56A5.67F400A0
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Version 2.20 of my screen saver can be found at :

http://home.sol.no/~thbernt/fintsave.htm

Comments/suggestions can be sent to : [e-mail]

Thore Berntsen







------=_NextPart_000_003D_01BF56A5.67F400A0
Content-Type: text/html;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2614.3500" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Version 2.20 of my screen saver can be =
found at=20
:</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2><A=20
href=3D"http://home.sol.no/~thbernt/fintsave.htm">http://home.sol.no/~thb=
ernt/fintsave.htm</A></FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2>Comments/suggestions can be sent to : =
<A=20
href=3D"mailto:[e-mail]">[e-mail]</A></FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2>Thore Berntsen</FONT></DIV>
<DIV> </DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2> </DIV>
<DIV> </DIV></FONT>
<DIV> </DIV>
<DIV> </DIV></BODY></HTML>

------=_NextPart_000_003D_01BF56A5.67F400A0--


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From: "Karl Scherer" <[e-mail]>
Subject: (fractint) (fractals) Karl's new CD : Abstract art etc created with fractals
Date: 05 Jan 2000 00:18:50 +1300

Hi to all fractal-lovers!

This is the first posting about my fractal gallery
at http://www.kiwi.gen.nz/~karl.

Simultaneously I would like to offer you my brand new CD
containing my 1000 best art works (1024 x768 pixels).
All images fully editable with fractint!

Over the span of several years I have developed my own very
original formulas, as you may well glean from the very unusual gallery
images.
Price only US$20 including shipping from New Zealand.

Any feedback is very much appreciated.

Cheers,
Karl Scherer
11 Utting Str, Auckland, New Zealand
[e-mail]
Seen my homepage lately?
http://www.kiwi.gen.nz/~karl


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From: "Karl Scherer" <[e-mail]>
Subject: (fractint) (fractals) Paul Carlson's email address
Date: 05 Jan 2000 00:20:34 +1300

Hi,

could anybody please tell me Paul Carlson's email address?
The one I found in some *prm files is not valid anymore.

Thank you very much!

Karl Scherer
11 Utting Str, Auckland, New Zealand
[e-mail]
Seen my homepage lately?
http://www.kiwi.gen.nz/~karl


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From: neko <[e-mail]>
Subject: (fractint) random browsing: a proposal
Date: 04 Jan 2000 21:56:57 +0900

this is an idea i've had floating in my mind for a few years now, and in
fact have implemented once in a pascal class. anyway...

i suggest a sortof 'random' browsing feature that would take a fractal type
(say, mandel), pick a random point and resolution in it, 'scan' it to see
if it's interesting, then if it is, draw that fractal, otherwise keep
picking points until it does find something that could be worthwhile. i'll
break down the steps:


picking the point: a user could enter the corners of the box, and the
min/max magnification, then the browser would just pick points in these
ranges at random. for fractals with trig parameters, perhaps these could be
allowed to randomly vary as well.

scanning: what i did in my project (which i sadly lost the code for) was to
sample a number of points in the candidate (say, 1000), find the color
values of these, then look to see how many colors there are total. if all
of these are of just a few colors (say fewer than six), then we could
assume that it chose a picture entirely in the black set of a fractal, or
perhaps on a fringe somewhere where we would just end up with a solid
screen. these fractals with too few colors would then be rejected, and we'd
search for a new candidate. the user, of course, could set the sample size
and the number of colors.

drawing: this could possibly be rolled into the evolver freature, allowing
us to have a bunch of these on the screen, allowing us to choose one that
looked good to us.


when i tried this, i of course didn't get wonderful results every time, but
every once in a while i would come across a nice gem, and i think that like
the evolver feature this could serve as a good springboard for users to
explore a part of a fractal on their own. this could also be used to turn
fractint into a de facto screen saver, just generating fractals all day
then saving the gifs or throwing the results into a big .par file. comments?

 -- neko *meow*

 "capital letters were always the best way of dealing with
  things you didn't have a good answer to." -- douglas adams



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From: Kenneth Childress <[e-mail]>
Subject: Re: (fractint) (fractals) Paul Carlson's email address
Date: 04 Jan 2000 08:28:33 -0800 (PST)


Karl,

> could anybody please tell me Paul Carlson's email address?
> The one I found in some *prm files is not valid anymore.

The last one I found for him when he was posting to the UF list is
[e-mail].



Ken...




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From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) random browsing: a proposal
Date: 04 Jan 2000 09:54:55 -0700


In article <l03130301b497994247af@[203.248.220.184]>,
    neko <[e-mail]>  writes:

> i suggest a sortof 'random' browsing feature that would take a fractal type
> (say, mandel), pick a random point and resolution in it, 'scan' it to see
> if it's interesting, then if it is, draw that fractal, otherwise keep
> picking points until it does find something that could be worthwhile.

The XaoS program has an 'auto zoom' feature that is exactly like this;
have you tried XaoS?
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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From: "Jack W" <[e-mail]>
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 18:56:26 GMT

>Of course, this requires W9x or NT, and (last I knew)
>Internet Explorer. Kind of useless if you want any
>reasonable definition of portability.

It does require W9x or NT, but I thought the original suggestion was for a
'Windows 95 help file' anyway. Compiled HTML Help files do not need IE: you
can install an HTML Help Update from Microsoft's site that will allow the
files to be used on any 32-bit version of Windows.

I'm not suggesting that this should be the only form of the help files, just
that if they were being ported to HTML anyway it would only be a small
amount of extra work to produce them in this format.

Best Wishes,

Jack.

"I don't write songs for critics." (B. DYLAN)


______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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From: [e-mail]
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 14:06:32 EST

My original concept was not to replace fractint online help, but rather to
compile the fractint.doc file into help format... just to facilitate use of
that particular document...

Paul

In a message dated 01/04/2000 10:57:53 AM Pacific Standard Time,
[e-mail] writes:

<< It does require W9x or NT, but I thought the original suggestion was for a
 'Windows 95 help file' anyway. >>


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From: Tim Wegner <[e-mail]>
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 18:22:37 -0600

Paul wrote:

> I should have a first cut in help format ready within a week or so.  The next
> phase will be to put all the keywords and extra jumps in other than the links
> from the table of contents.

A little-known secret of fractint is that with the use of the fractint
help compiler (hc.exe), you can delete the fractint help, edit the
text *.src files, and re-compile the help, and add it back into the
fractint executable. The only catch is that if you want to do more
than edit text - e.g. add or delete hyper links, then you also need a
copy of Microsoft's link.exe program. None of this requires any
programming skills, and the tags used are simple - you can usually
figure out what to do by finding a similar example.

The reason I mention this is if anyone is working to improve the
docs, it would be nice to keep the online docs in synch with the
improvements. I could make available a little kit with hc.exe, and I
suppose link.exe The link.exe is not a free program but neither is
the version we use available any more from Microsoft, so I guess it
wouldn't be a big deal to include it.

Tim


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From: [e-mail]
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 21:43:14 EST

In a message dated 01/04/2000 4:24:00 PM Pacific Standard Time,
[e-mail] writes:

<< The reason I mention this is if anyone is working to improve the
 docs, it would be nice to keep the online docs in synch with the
 improvements. I could make available a little kit with hc.exe, and I
 suppose link.exe The link.exe is not a free program but neither is
 the version we use available any more from Microsoft, so I guess it
 wouldn't be a big deal to include it. >>

I dabble in VB 5.0 (enough to be dangerous to all those within shrapnel
distance), so I have the help compiler workshop as part of the package. I
hadn't thought about tinkering with the help files,but a separate standalone
for newbies (who cut their teeth on Windows 95 instead of DOS might not be a
bad idea....just might be interesting.... <G>

Paul

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From: noel <[e-mail]>
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 18:59:47 -0800 (PST)


>I'm not suggesting that this should be the only form of the help files, just
>that if they were being ported to HTML anyway it would only be a small
>amount of extra work to produce them in this format.

    As I've been the one maintaining the online fractint docs, I thought
I'd say a few things on this topic and let everyone know what this
looks like and what to watch out for and how not to do it in the future.

    When I started the online docs, I just extracted the fractint
documentation from version 17 or something and started by breaking the
document up into a series of files. (about 150). I did this due to the
shear size of the documentation. Noone wants to download 500 kbytes
of document for a simple help lookup. This is still valid today even
with the faster links that most of us have. I then took the index
and all the internal hyperlinks and turned them into URL references and
anchors within each of the html files. This was a cumbersome procedure
due to the relatively arbitrary way that I broke the docs into individual
files. There are also extensive syntax changes that have to be made
within a lot of the text or you are going to choke a lot of web-viewers.
Html syntax does not like embedded ampersands, double quotes, less-than,
or greater-than signs, and a few other characters that seem to be often
used within the fractint docs. These have to be changed or switched for
escape strings to avoid breaking accepted html syntax rules. Even
if you use an automated html extraction process you will have problems
with these I think.

After that I added a few graphic examples of fractal types and expanded
them to include some of the add-on tutorials.  This was all before
cascading style sheets were invented for html, so the layout of the
online docs is relatively plain. If I want to improve the layout, or
change the style using some of the newer html features, I have to edit
about 200 different files to include  the new header information and
change the html version codes.

    One of the big problems with this whole method is that
updating the files is a bit of a headache because the original
fractint docs are updated as a single file and I have to find and
make the changes over a distributed file-set.  I have been updating
the docs for each revision since 1995 by generating a list of
differences between the last version and the new version of the
extracted documentation file. Then I use search engines to find
the relavent html file and cut and paste the text from the merged
list of differences, ignoring trivial differences like page references
etc. You could say that this is a relatively cumbersome way to do things
but as the docs are relatively stable, and new text usually comes in
consecutive paragraphs and chapters, there are surprisingly few files
that acutally get edited from one version to the next. Maybe I shouldn't
have been so lazy and just written a parser/extracter that created the
html fileset from each new distribution, but they have been relatively
infrequent and my editing skills got faster. If the fractint documentation
is going to be distributed in a different format, than this is going to
become a significant problem. Maybe we should make this project about creating
a utility that does extract the docs into a number of useful formats such
as html, pdf, rtf and even microsoft help, for those who like that sort of
thing. I would certainly like to see the graphics improved and the whole
help database rationalized to include all the tutorials. I have
to reemphasize the importance in breaking this info up into small
cross-referenced files for online access though. A single large file is
not useful as a web reference. Especially if you include inline images
and graphics.

    regards,
    Noel Giffin


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From: "David Jones" <[e-mail]>
Subject: Re: (fractint) project idea
Date: 04 Jan 2000 18:57:58 -1000

On  4 Jan 00 at 9:59, Tonton Th wrote:

> Phil McRevis wrote:
> >
> > In article <[e-mail]>,
> >     "David Jones" <[e-mail]>  writes:
> >
> > I think it would be better and easier to add HTML output or other
> > text markup languages (LaTeX anyone? :) to the existing code than
> > ditching everything that's there.
>
>  Or you can use something like Sgmltools who can, from
>  the same source, spit text, html, TeX, RTF and others.

Actually, I didn't write that.

Framemaker can do that, too.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
The real problem with cloning programmers is the difficulty of genetically engineering the silicon portions. (D.Jones)



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From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 05-01-00 (Bits and Pieces) (c)
Date: 05 Jan 2000 01:01:42 -0500 (EST)


FOTD -- January 05, 2000

Fractal enthusiasts and visionaries:

Today's fractal is a close-up of that midget in the shaft of
yesterday's picture that I had no time to reach yesterday.  The
formula behind the image is a mixture of Z^2 and 1/Z, calculated
by the MandelbrotMix4 formula.  I named the picture "Bits and
Pieces" when I noticed the fractal debris that fills the scene.

It is a curious image, with a very sharp quadratic Mandeloid
midget in the center and a ghostly, half obscured Mandeloid bud
vaguely visible in the upper background.  The two features are
arranged as though they bear no relation to each other, which I
assume is caused by the two parts of the formula going their own
separate ways.

The parameter file is a very, very slow one, and is included
mainly for reference.  To see the picture much sooner, go to:

          <alt.binaries.pictures.fractals>

or to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

where the JPEG file has been posted.

The fractal weather today was very warm, but rainy.  The
temperature of 70F (21C) was warm enough, but the rain kept the
cats indoors.  It kept me indoors also, where I occupied my idle
time philosophizing and checking my notes.  I did quite a bit of
philosophizing, because I had already found the day's fractal
yesterday.  The result of that pondering will appear tomorrow on
the philofractal list.

Until then, take care, and long live fractals.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Bits_and_Pieces    { ; time=2:10:12.22 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06232901541832320/-0.24010764571036200\
  /2768.452/1/-117.5 params=1/2/-0.0615/-1/0/0
  float=y maxiter=27000 bailout=25 inside=0
  logmap=15 symmetry=none periodicity=10
  colors=000Y9E<3>a42<4>kQDlUFnZI<3>voQwpSpoT<3>R`VLYV\
  PZW<3>`ZXcZYf_Y<2>o_ZzcwzcwzhwzcwzcwdUMYSISzEzzJzzNz\
  wSLmWKc`IUdGQi<2>CQv<8>W_aY`Z_aX<3>geObdT<3>MciIcmEc\
  qAcuDc2<3>FcSFSZFRdFRj<3>nUhwUhvVjuck<4>pcpocqn_rm`s\
  l`t<4>fWqdWqcVp<2>`So_SoZTn<7>UXkUXkTYjSYjRZhSZiRZiS\
  QlRTkRWjArW<3>HjaIhbKgc<3>Q_hcgW<3>WacU`eS_gLtQOi_yW\
  l<8>eYjcYj`Zi<3>TZiGc`IcbJcdLcg<3>Qcp3cr<4>Dcw<4>Ncw\
  PcwccwccwcfwYbw8cw<3>EcwGcwHcwJcwKcwMewNhwPmwQmwPpw<\
  3>QjwQhwQgw<2>RbwRcwRcw9cwZcw<4>UcwTcwScwgcwacwWcwNn\
  w<3>QdwQbwR`wFcw<3>KcwLcwMcw<3>QcwscwOjw<10>Raw
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Bits_and_Pieces    { ; time=2:10:12.22 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06232901541832320/-0.24010764571036200\
  /2768.452/1/-117.5 params=1/2/-0.0615/-1/0/0
  float=y maxiter=27000 bailout=25 inside=0
  logmap=15 symmetry=none periodicity=10
  colors=000Y9E<3>a42<4>kQDlUFnZI<3>voQwpSpoT<3>R`VLYV\
  PZW<3>`ZXcZYf_Y<2>o_ZzcwzcwzhwzcwzcwdUMYSISzEzzJzzNz\
  wSLmWKc`IUdGQi<2>CQv<8>W_aY`Z_aX<3>geObdT<3>MciIcmEc\
  qAcuDc2<3>FcSFSZFRdFRj<3>nUhwUhvVjuck<4>pcpocqn_rm`s\
  l`t<4>fWqdWqcVp<2>`So_SoZTn<7>UXkUXkTYjSYjRZhSZiRZiS\
  QlRTkRWjArW<3>HjaIhbKgc<3>Q_hcgW<3>WacU`eS_gLtQOi_yW\
  l<8>eYjcYj`Zi<3>TZiGc`IcbJcdLcg<3>Qcp3cr<4>Dcw<4>Ncw\
  PcwccwccwcfwYbw8cw<3>EcwGcwHcwJcwKcwMewNhwPmwQmwPpw<\
  3>QjwQhwQgw<2>RbwRcwRcw9cwZcw<4>UcwTcwScwgcwacwWcwNn\
  w<3>QdwQbwR`wFcw<3>KcwLcwMcw<3>QcwscwOjw<10>Raw
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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From: ruth antwine <[e-mail]>
Subject: Re: (fractint) project idea
Date: 05 Jan 2000 01:33:46 -0500

yes, that would be a wonderful thought. im so used to win98 that dos does seem a
third lang now. ive also been using ultras frac and im having a time changing
oveer. ( i want to learn more about what makes a fractal, well, fractal.) i
havent even been able to figure out the directions on wizzles pg for gettting
the posted fracs for fractint into fractint yet(but i can get them into ultra
frac--havent figured out why yet tho) most of my problem with fractint right now
is the windows version doesnt reginize the magnifacation numbers and the dos
version doesnt seem to have frac.frm or critical.frm. hence it isnt talking to
me yet. a help file with everything all in the same place is a marvolous idea.
ill even volenter to do some of the typing if someone needs me too.
Ruth

[e-mail] wrote:

> In a message dated 01/04/2000 4:24:00 PM Pacific Standard Time,
> [e-mail] writes:
>
> << The reason I mention this is if anyone is working to improve the
>  docs, it would be nice to keep the online docs in synch with the
>  improvements. I could make available a little kit with hc.exe, and I
>  suppose link.exe The link.exe is not a free program but neither is
>  the version we use available any more from Microsoft, so I guess it
>  wouldn't be a big deal to include it. >>
>
> I dabble in VB 5.0 (enough to be dangerous to all those within shrapnel
> distance), so I have the help compiler workshop as part of the package. I
> hadn't thought about tinkering with the help files,but a separate standalone
> for newbies (who cut their teeth on Windows 95 instead of DOS might not be a
> bad idea....just might be interesting.... <G>
>
> Paul
>
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-------------------------------------------------------------------------------

From: ruth antwine <[e-mail]>
Subject: Re: (fractint) project idea
Date: 05 Jan 2000 01:42:24 -0500

yep, i dont code html (yet) but i do understand this. you have done an remarkable
job if i might add. it was one of the things that convinced me i was missing
something in ultra. anyway. since ive already put my foot in my mouth and offered
to type my fingers off, what about something like this--keeping your web docs the
way were all used to, but, as you said, there are many formats now to choose. how
about the option, like on free-book pgs and theology journals pgs, of being able
to d/l the hefty file documentation, with the must have tutorials AND the pics all
in one file? ( some of us are d/l and run inclined) i dont care to hang on the web
or look things up on the web all the time. we need the phone line open for calls
anyway. id love to be able to d/l something like this and still have the web stuff
there when i visit.
Ruth

noel wrote:

> >I'm not suggesting that this should be the only form of the help files, just
> >that if they were being ported to HTML anyway it would only be a small
> >amount of extra work to produce them in this format.
>
>         As I've been the one maintaining the online fractint docs, I thought
> I'd say a few things on this topic and let everyone know what this
> looks like and what to watch out for and how not to do it in the future.
>
>         When I started the online docs, I just extracted the fractint
> documentation from version 17 or something and started by breaking the
> document up into a series of files. (about 150). I did this due to the
> shear size of the documentation. Noone wants to download 500 kbytes
> of document for a simple help lookup. This is still valid today even
> with the faster links that most of us have. I then took the index
> and all the internal hyperlinks and turned them into URL references and
> anchors within each of the html files. This was a cumbersome procedure
> due to the relatively arbitrary way that I broke the docs into individual
> files. There are also extensive syntax changes that have to be made
> within a lot of the text or you are going to choke a lot of web-viewers.
> Html syntax does not like embedded ampersands, double quotes, less-than,
> or greater-than signs, and a few other characters that seem to be often
> used within the fractint docs. These have to be changed or switched for
> escape strings to avoid breaking accepted html syntax rules. Even
> if you use an automated html extraction process you will have problems
> with these I think.
>
> After that I added a few graphic examples of fractal types and expanded
> them to include some of the add-on tutorials.  This was all before
> cascading style sheets were invented for html, so the layout of the
> online docs is relatively plain. If I want to improve the layout, or
> change the style using some of the newer html features, I have to edit
> about 200 different files to include  the new header information and
> change the html version codes.
>
>         One of the big problems with this whole method is that
> updating the files is a bit of a headache because the original
> fractint docs are updated as a single file and I have to find and
> make the changes over a distributed file-set.  I have been updating
> the docs for each revision since 1995 by generating a list of
> differences between the last version and the new version of the
> extracted documentation file. Then I use search engines to find
> the relavent html file and cut and paste the text from the merged
> list of differences, ignoring trivial differences like page references
> etc. You could say that this is a relatively cumbersome way to do things
> but as the docs are relatively stable, and new text usually comes in
> consecutive paragraphs and chapters, there are surprisingly few files
> that acutally get edited from one version to the next. Maybe I shouldn't
> have been so lazy and just written a parser/extracter that created the
> html fileset from each new distribution, but they have been relatively
> infrequent and my editing skills got faster. If the fractint documentation
> is going to be distributed in a different format, than this is going to
> become a significant problem. Maybe we should make this project about creating
> a utility that does extract the docs into a number of useful formats such
> as html, pdf, rtf and even microsoft help, for those who like that sort of
> thing. I would certainly like to see the graphics improved and the whole
> help database rationalized to include all the tutorials. I have
> to reemphasize the importance in breaking this info up into small
> cross-referenced files for online access though. A single large file is
> not useful as a web reference. Especially if you include inline images
> and graphics.
>
>         regards,
>         Noel Giffin
>
> --------------------------------------------------------------
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-------------------------------------------------------------------------------

From: "David Jones" <[e-mail]>
Subject: (fractint) Re: Color Cycling - Longer than 256 colors?
Date: 04 Jan 2000 20:46:14 -1000

On 18 Dec 99 at 19:45, Phil McRevis wrote:

> In article <[e-mail]>,
>     "David Jones" <[e-mail]>  writes:
>
> > Well, there's more to OS/2 than "Windows" - the WorkPlace
> > Shell is much more capable than the W9x interface.
>
> Does an application needs to be coded differently on
> OS/2 vs. Windows for this?

Sorry, I have no idea. I read a book awhile back on the
design of OS/2, but I don't remember the differences.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Trust in the Lord - not *rust* in the Lord! (D.Jones)



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-------------------------------------------------------------------------------

From: Randall Britten <[e-mail]>
Subject: (fractint) Digest version of mailing list?
Date: 05 Jan 2000 09:22:03 +0200

Some mailing lists now offer a digest version, where all mails to the list
are bundled into one daily mail.  Can we do that with the fractint list?
Those who prefer a daily summary can use that, and those who prefer the
original style can continue that.

-----------------------
Randall Britten

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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Digest version of mailing list?
Date: 05 Jan 2000 10:46:49 -0700


In article <E3453EC6C52ED3118E7E0090275CD47C04138509@ISJHBEX>,
    Randall Britten <[e-mail]>  writes:

> Some mailing lists now offer a digest version, where all mails to the list
> are bundled into one daily mail.  Can we do that with the fractint list?

Its already been done and has always been there.  To switch from
a reflected subscription to digest, send a message to
[e-mail] with these commands in the message body:

unsubscribe fractint
subscribe fractint-digest

You should then get a message asking you to confirm your digest
subscription (to prevent others from signing you up to a mailing list
without your consent).
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 06-01-00 (The Lost Rosette) (c)
Date: 06 Jan 2000 01:08:30 -0500 (EST)


FOTD -- January 06, 2000

Fractal enthusiasts and visionaries:

Today was another busy one here at the Fractal Central, but not
so busy that I needed to forget the day's fractal.  The rush,
however, meant that I had to call on my faithful MandelbrotMix4
formula to once again produce something in a hurry.

The formula came through with flying fractal colors, as it
calculated the difference between 100Z^(-0.9) and 100Z^(-0.899)
plus 1/C.  I named the picture "The Lost Rosette".  I gave it
this name because while trying a few hasty color schemes I
noticed that with some color palettes the pattern around the
central midget almost completely vanishes.

I assume this vanishing act is due to the image being composed
of a semi-orderly arrangement of discrete dots rather than the
usual equal-iteration bands.  The amber rosette is not really
there; it only appears when certain optimal color palettes are
applied.  But whether the things one sees are there or not, the
image is a worthy one, which earned its place of honor by
appearing when I needed a fractal in a hurry.

I must also thank my dedicated fractal-finding computer for the
fractal of today.  Were it not for this faithful machine, which
has had an obvious hard life, I would never have had the time to
run the unusually slow file on the old 486-DX4.  As it is, the
parameter file takes almost two hours on a fast Pentium.  But
the JPEG image file will soon be posted, (if I can figure how to
use Agent rather than Free Agent), to Usenet at:

          <alt.binaries.pictures.fractals>

and the always helpful Paul Lee will soon have the image on his
web site at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was everything an early January day
should be in these parts -- sunny skies, brisk winds and a
temperature of 41F (5C).  The fractal cats had no comment.

Due to the rush, I fear I must once again disappoint the hordes
eagerly awaiting the next installment of philosophy. :-(  But
I'll probably get it posted tomorrow -- if not, the next day for
sure.

Until next time, take care, and if fractals are priceless, how
can one put a price on them?


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

The_Lost_Rosette   { ; time=1:53:52.12 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.55235713027287100/+15.5451508344121000\
  0/376326.2/1/67.5 params=100/-0.9/-100/-0.899/-40/0
  float=y maxiter=15000 bailout=25 inside=0 logmap=1435
  symmetry=none periodicity=10
  colors=000AKO<7>AKCAKBAK9<2>AK5AK38B2<7>ZZYbaaede<3>\
  rptZoY<12>FfhDfiCei<3>6cl<16>aHFbGDdFB<3>kA4<18>N8BM\
  8CL8C<3>G8D<2>_vb<19>tlrulsvks<3>zjv<3>UXyMUyNVw<19>\
  RWcRWbSWa<3>SWY<3>iZPm_Mr_Kv`Iz`GvN9s93<11>O3FL3GI2H\
  <3>81K<25>O1OP1OP1O<2>R1OR1OQ8P<3>Q_P<4>dVGgVEjUC<2>\
  sR7uR6vUA<5>vgYviavke<3>vtt<4>snYsmUpGQ
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

The_Lost_Rosette   { ; time=1:53:52.12 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+5.55235713027287100/+15.5451508344121000\
  0/376326.2/1/67.5 params=100/-0.9/-100/-0.899/-40/0
  float=y maxiter=15000 bailout=25 inside=0 logmap=1435
  symmetry=none periodicity=10
  colors=000AKO<7>AKCAKBAK9<2>AK5AK38B2<7>ZZYbaaede<3>\
  rptZoY<12>FfhDfiCei<3>6cl<16>aHFbGDdFB<3>kA4<18>N8BM\
  8CL8C<3>G8D<2>_vb<19>tlrulsvks<3>zjv<3>UXyMUyNVw<19>\
  RWcRWbSWa<3>SWY<3>iZPm_Mr_Kv`Iz`GvN9s93<11>O3FL3GI2H\
  <3>81K<25>O1OP1OP1O<2>R1OR1OQ8P<3>Q_P<4>dVGgVEjUC<2>\
  sR7uR6vUA<5>vgYviavke<3>vtt<4>snYsmUpGQ
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) Re: Color Cycling - Longer than 256 colors?
Date: 06 Jan 2000 09:59:46 GMT

On Tue, 4 Jan 2000 20:46:14 -1000, "David Jones" <[e-mail]>
wrote:

>On 18 Dec 99 at 19:45, Phil McRevis wrote:
>
>> In article <[e-mail]>,
>>     "David Jones" <[e-mail]>  writes:
>>=20
>> > Well, there's more to OS/2 than "Windows" - the WorkPlace=20
>> > Shell is much more capable than the W9x interface.
>>=20
>> Does an application needs to be coded differently on
>> OS/2 vs. Windows for this?
>
>Sorry, I have no idea. I read a book awhile back on the
>design of OS/2, but I don't remember the differences.
>
OS/2 cannot run windows apps natively. All the people I have known had
the tools to run windows apps. If I remember correctly, having a few
critical files from windows was all that was neccesary.

juice --have fun --harm none
INTP   G BR W

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-------------------------------------------------------------------------------

From: Gedeon Peteri <[e-mail]>
Subject: (fractint) Updated web site and formula file
Date: 06 Jan 2000 10:03:14 -0500

Prompted by inquiries about "what parameters to use" with my formulas --
a question too general to be properly answered -- I reworked all of the
formulas contained in my gfp.ufm file. Of course all of them remain
compatible with uprs already generated. What I did was to supply
defaults such that you will get at least a minimal image when starting a
new fractal -- no blank screens! I hope this will help. You can download
the new file directly from the index page of my fractal site (see link
below), but it is also included in the parameter file packages you find
on each of my pages. Please replace all old versions of gfp.ufm with
this one. The file has been sent to Kerry Mitchell, so it will soon be
included in his great compilation.

In addition, I added several new formulas. None, I regret to say for
lack of inspiration, are my own originals, but translations. These
include several gravijul formulas as well as a few of my favorite Sylvie
Gallet formulas from Gallet-3, 4, and 6. A bailout test parameter has
been added to all, since I like the variations made possible by this
addition.

New images along with parameter files using these translated formulas
have been added to my gravijul and Gallet pages.

Your comments are welcome.

Gedeon

--
Fractals: http://members.xoom.com/gedeonp/fractals.html
Member Infinite Fractal Loop
Last updated: January 5, 2000
Photography: http://members.xoom.com/gedeonp/photos.html
Last updated: July 15, 1999



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-------------------------------------------------------------------------------

From: "Karl Scherer" <[e-mail]>
Subject: (fractint) new coloring method / new flattening method
Date: 07 Jan 2000 12:00:18 +1300

Hi,

I would like to present two (in my opinion) new METHODS for fractals.

1. The first is a method to color fractals.
Using outside=iter can often result in very boring fractals with
large monochrome areas.
One way to enhance the image is using outside=atan.
The following code offers an alternative color smoothing scheme
that create effects very different and independent from outside =atan :

;---------------------------------------------------------------------------



colorfrm { ;special colour smoothing scheme by Karl Scherer!
          ; can be applied to ANY EXISTING MATH FORMULA
         loop=0, begin=1, rounds=1 , ;(Karl's additional vars)
         z=0:                        ;your settings
IF (begin==1)
         ;====== insert your formula here =====================
         z=...
         ;====== end of your formula ==========================
         r=|z|-8                     ; equivalent to |z|<8
         IF (r>=0)
           begin=2, rounds=r ; >>> try rounds =r/2 etc! <<<
         ENDIF
ELSE
         loop=loop+1
ENDIF
loop<rounds
}
;---------------------------------------------------------------------------

----------------------------


2. The second Method is a method to flatten images that have rotational
symmetry around (0,0).
You can imagine the process as cutting the plane along the positive x-axis
and stretching the sheet such that the unit circle to become the x-axis
and the origin (0,0) spreads out at (any x, - infinity).
A star-shaped pattern for example then turns into a pattern that repeats in
x direction and changes constantly in y-direction (ideal for wallpaper-type
images
and cloth-designs).
You will find totally new appeal in many old point-symmetric fractals,
especially those that
allow deep zooming at (0,0)!


flatfrm  { ; by Karl Scherer (angle,radius) => (x,y)
           ; radius stretched such that (0,0) => (0,-infinity)
          c=pi/5, x=imag(pixel),y=real(pixel)
          x=2*c*x, y=c*y, r=2^(-x), v=r*cos(y),
          w=r*sin(y), p=v+flip(w), {Karl's settings
          z=0:               {your settings
;=========== insert your formula here ======================
         z=...
;=========== end of your formula ============================
         |z|<8000            {your bailout
}

I suggest to Tim Wegener to add to the FRACTINT HOME PAGE a now option
a METHODS besides the existing FORMULAS and PARAMETER
directories.
This METHODS directory shall contain tools, methods (like my coloring
scheme and my flattening scheme), tips and
fractal code that may be used in all sorts of fractals.
I think this would help other fractint users enormously.

Next suggestion: Built my coloring method right into the next FRACTINT
version!


Karl Scherer
11 Utting Str, Auckland, New Zealand
[e-mail]
Seen my homepage lately?
http://www.kiwi.gen.nz/~karl


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) Pentium 700
Date: 06 Jan 2000 18:39:56 EST

Hi Everyone,

I see speeds of Pentiums going faster all the time. Will a Pentium 700 speed
the generation of FRACTAL images more than say a 350 Pentium would? Or is
there just a point that generation time can't be speeded up any further?

--Bob Carr--

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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 06 Jan 2000 16:54:37 -0700


In article <[e-mail]>,
    [e-mail]  writes:

> I see speeds of Pentiums going faster all the time. Will a Pentium 700 speed
> the generation of FRACTAL images more than say a 350 Pentium would?

I suppose there is a possibility that it would not, but the
possibility is extremely small.  Almost every fractal I can think of
is what we call "compute bound", meaning that it is being generated at
the limit of the CPU's performance.  (Tasks that are "I/O bound" are
operating at the limit of the I/O devices attached to your system and
aren't sped up by adding more CPU power.)

> Or is
> there just a point that generation time can't be speeded up any further?

If you could generate the image faster than the time it takes for your
monitor to display it (generally 1/60th of a second), then there
wouldn't be much point in computing the image faster if your intent
was to display it.  On the other hand, you could compute images faster
than the display rate for off-line storage and later viewing.

Also, the faster machines get at producing any particular fractal
image, like the classic M-set renderings, the more people add fancy
coloring options, layers, special effects, and so-on until all the
available CPU power is gobbled up anyway ;-).  Just another example of
user expectations going up just as fast (if not faster) than hardware
performance.
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Tim Wegner <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 06 Jan 2000 19:00:11 -0600

Rich wrote:

> If you could generate the image faster than the time it takes for your
> monitor to display it (generally 1/60th of a second), then there
> wouldn't be much point in computing the image faster if your intent
> was to display it.  On the other hand, you could compute images faster
> than the display rate for off-line storage and later viewing.

For the default 320x200 fractal, the limiting factor for some time for
my setup has been not the time to display the fractal, but the time
for the mode to change from text to graphics. Every newer (and
more capable) monitor I have gotten has been slower. My
Optiquest V95 changes modes quite slowly - seems like several
seconds). And of course when it is finally through changing modes,
the 320x200 fractal is already done!

Tim


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-------------------------------------------------------------------------------

From: [e-mail] (Thomas Beyer)
Subject: Re: (fractint) Pentium 700
Date: 07 Jan 2000 01:54:05 +0100

[e-mail] schrieb:
>
> Hi Everyone,
>
> I see speeds of Pentiums going faster all the time. Will a Pentium 700 speed
> the generation of FRACTAL images more than say a 350 Pentium would? Or is
> there just a point that generation time can't be speeded up any further?
>
> --Bob Carr--


Yes and no!

The limit is the speed of your graphic adapter. Try the "standard"
mandelbrot using 16 and 256 colors, and you will see that 16 colors is
considerably slower. In this case nearly all the time is used to write
the graphics.
However I don't know if it is of interest generating a image in 3 or 2
seconds. If you want to zoom deeper, increase the iteration limit, use
complex formulas, of course you benefit from the processor speed.


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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 06 Jan 2000 19:47:02 -0700


In article <[e-mail]>,
    Tim Wegner <[e-mail]>  writes:

> For the default 320x200 fractal, the limiting factor for some time for
> my setup has been not the time to display the fractal, but the time
> for the mode to change from text to graphics.

Interesting!  I think some other people have mentioned that they feel
fractint really stresses out their monitor because of the large
numbers of mode switches in a session.  Fractint is being dragged into
the next millenium kicking and screaming, but like Dr. Who is about to
be regenerated :-).
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 07 Jan 2000 17:11:11 +1300

At 16:54 06/01/2000 -0700, Phil McRevis wrote:
>
>If you could generate the image faster than the time it takes for your
>monitor to display it (generally 1/60th of a second), then there
>wouldn't be much point in computing the image faster if your intent
>was to display it.  On the other hand, you could compute images faster
>than the display rate for off-line storage and later viewing.
>
But note that unless you have something like a RAM disk that can buffer all
your fine work, you would quickly hit a bottleneck in disk I/O - something
that is even more of a constraint than video refresh rates.

I/O aside, an "arbitrarily fast" processor would still eventually find it
self bogging down in waiting for things like memory access. But here
sensible design of the motherboard resources should minimise this problem
and would develop in parallel with the faster processors. (Not that that
doesn't prevent some vendors from running overclocked chips on underpowered
boards and advertising a really cheap fast machine).

Morgan L. Owens
"Attoparsecs per light-metre?"



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 07-01-00 (Platinum Minibrot) (c)
Date: 07 Jan 2000 01:31:55 -0500 (EST)


FOTD -- January 07, 2000

Fractal enthusiasts and visionaries:

While browsing the Fractint list this evening, I came upon a
letter pointing out that the outside=iter option often results
in boring, monochrome fractals.  This is true only if the
fractal itself is boring.  When this is the case, one of the
fancier outside options can indeed be a great help.  But an
interesting fractal is interesting even when outside=iter.
Today's FOTD uses the default outside=iter option, and I would
say that the resulting image is anything but boring.

I named the picture "Platinum Minibrot", though I could have
named it "Silver Wings" or "The Lead Midget", or any of a
hundred other names.  The formula behind all this metal is once
again the MandelbrotMix4, this time calculating
1.1Z^(-1.2)-1.3Z^0.9+C.  The silvery, metallic feel was a
complete accident, appearing at random as I cycled the color
registers.  Only a minor touch-up was needed once I had found
the basic palette.

The parameter file runs in 10 minutes on a fast Pentium 200mhz.
On a 700mhz PentiumIII it will run even faster, but a download
of the JPEG image file is the fastest of all.  That download may
be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the W.W.Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was sunny and mild today here at Fractal
Central, with an afternoon temperature of 47F (8C) that was
perfect for fractals, cats and philosophy.  The fractal turned
out fine, the cats were happy, and the philosophy has already
been posted to the philofractal list.

And it's now time to shut down Fractal Central as well as the
Fractal Central branch office, and call it another day.  Until
tomorrow, take care, and I wonder what are the odds that the
particular midget in today's picture would ever have been found
and made FOTD.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Platinum_Minibrot  { ; time=0:09:52.06 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+8.46610276281412900/-6.16202946773625500\
  /335.6961/1/-77.5 params=1.1/-1.2/-1.3/0.9/0/100
  float=y maxiter=4200 bailout=25 inside=0
  logmap=73 symmetry=none periodicity=10
  colors=0008VZ<10>BKKBJJBIHCHGCGFCFDCFDCECzrt<94>FFEF\
  FDEFD<3>CDBshV<17>OLGMKFKJF<2>FFCDEBDY8<27>CKACJBCJB\
  <3>CHBCKK<3>CccChhCmmYrrXsqXtpWuo<3>VysVztUzu<3>TzyT\
  zzSzz<39>EzzEzzDzz<3>CzzTzz<3>Pzz
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Platinum_Minibrot  { ; time=0:09:52.06 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+8.46610276281412900/-6.16202946773625500\
  /335.6961/1/-77.5 params=1.1/-1.2/-1.3/0.9/0/100
  float=y maxiter=4200 bailout=25 inside=0
  logmap=73 symmetry=none periodicity=10
  colors=0008VZ<10>BKKBJJBIHCHGCGFCFDCFDCECzrt<94>FFEF\
  FDEFD<3>CDBshV<17>OLGMKFKJF<2>FFCDEBDY8<27>CKACJBCJB\
  <3>CHBCKK<3>CccChhCmmYrrXsqXtpWuo<3>VysVztUzu<3>TzyT\
  zzSzz<39>EzzEzzDzz<3>CzzTzz<3>Pzz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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From: "David Jones" <[e-mail]>
Subject: (fractint) Project Odin URL correction (was re 256 colors)
Date: 06 Jan 2000 20:40:40 -1000

Sorry, I went back to visit the link, and found that
they've moved to:

<http://www.netlabs.org/odin/> (without the index.html
filename)

Of interest to OS/2 users and people who might like an
alternative to Microsoft products.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
He was a fine old man, well-ripened. (D.Jones)



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From: "David Jones" <[e-mail]>
Subject: (fractint) Re: Color Cycling - Longer than 256 colors?
Date: 06 Jan 2000 20:34:29 -1000

On  6 Jan 00 at 9:59, [e-mail] wrote:

> >> Does an application needs to be coded differently on
> >> OS/2 vs. Windows for this?
> >
> >Sorry, I have no idea. I read a book awhile back on the
> >design of OS/2, but I don't remember the differences.
> >
> OS/2 cannot run windows apps natively. All the people I
> have known had the tools to run windows apps. If I
> remember correctly, having a few critical files from
> windows was all that was neccesary.

Now you've got me confused ... What version of Windows
are you talking about? WinOS/2 is IBM's optimized and
recompiled (from licensed source code) version of MS
Windws 3.1. WinOS/2 cannot be run except under OS/2 - IBM
did a major rework of the W31 memory architecture -
WinOS/2 handles memory management for WinOS/2. WinOS/2
comes with OS/2, although you don't have to install it if
you don't want to.

Some W9x application executables (not ported as source
code) have been successfully converted to native OS/2
using a utility and libraries developed by the nonprofit
Project Odin <http://www.netlabs.org/odin/index.html>.
Most publicly know of those convertable apps is the W9x
version of Quake II.

Project Odin is accomplishing this in a couple of ways -
one is a utility that adjusts pointers within the
executable to work properly under the OS/2 memory
architecture and turns a standard W9x executable format
into the standard OS/2 executable format. The most
recent version of that utility can convert standard W9x
DLLs on the fly. (This is similar to something for the
Alpha or SPARC or some other RISC processor - I forget
which.)

The other is by building library DLLs that provide
native OS/2 routines to provide the functionality of W9x
system calls.

I think a well-designed and coded W9x version of a
Fractint DLL would be convertible, but good platform
independent C or C++ code would be better.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Wake up, you scum-sucking dirtbag! (D.Jones)



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From: "David Jones" <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 06 Jan 2000 20:34:30 -1000

On  6 Jan 00 at 16:54, Phil McRevis wrote:

> Also, the faster machines get at producing any
> particular fractal image, like the classic M-set
> renderings,

Remember - programmers develop to the computer systems
that they're using. No commercial software developer wants
to waste its programmers time, so they get fast machines
to develop on ..

> the more people add fancy coloring options,
> layers, special effects, and so-on until all the
> available CPU power is gobbled up anyway ;-).  Just
> another example of user expectations

Nope! Programmers like adding things - "Look at this cool
thing I did!" <G>

> going up just as fast (if not faster) than hardware
> performance.

Yet, when you think about it, here we are with extremely
powerful processors, yet we cripple them with MS Windows
9x and its
partly-16-bit-real-mode/partly-32-bit-protected mode
architecture, using the idiotic memory architectures
dumped on us by Intel's idea of a processor .. Methinks
part of the problem is that hardware is much more
advanced than the software that many people use.

Another blast of bits from David
http://home.hawaii.rr.com/aliasjj/   http://www.hawastsoc.org/
For the best Hawaii & Pacific Basin surf forecast:
    http://www.surfreporthawaii.com

Random Thought for this Nanosecond
Computers have a lot in common with ingrown toenails. (D.Jones)



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From: "Mike and Linda Allison" <[e-mail]>
Subject: (fractint) New Gumbycat Gallery
Date: 07 Jan 2000 00:10:59 -0800

http://www.fractalus.com/gumbycat/gallery7.html (01-06-00)

Drop by for a visit!  Please!
Linda

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Visit the Fractal Art Contest '99:
http://www.fractalus.com/contest99/

Gumbycat's pages:
http://www.fractalus.com/gumbycat/gallery7.html (01-06-00)

http://www.toptown.com/innercircle/gumbycat/index.html (last update
10-27-99)
(Gallery 12 is the newest, but Galleries 1 thru 11 have also been
"renovated."
So please visit them all!)

Recent Usenet postings:
http://www.fractalus.com/gumbycat/abpf.html (last update 12-01-99)

Copyright, all rights reserved:
http://www.fractalus.com/gumbycat/copyright.html

My GeoCities pages?  All moved to Fractalus!
My Email address?  Changed to [e-mail]
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++


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From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) Re:  New Gumbycat Gallery
Date: 07 Jan 2000 02:57:33 -0600

Linda Allison wrote:
>
> http://www.fractalus.com/gumbycat/gallery7.html (01-06-00)
>
> Drop by for a visit!  Please!
>

Excellant images as always!!  Thanks for the late night viewing!

Later,
P.N.L.
http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go

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From: "Marie Drozdis" <[e-mail]>
Subject: Re: (fractint) New Gumbycat Gallery
Date: 07 Jan 2000 08:42:16 -0800

Nice site. I always love your galleries.  ....as I love the fractal calendar
that I have up now. January's fractal is one of yours, as are many of the
other months. It's the best fractal calendar I've owned.

Marie  :)
-----Original Message-----


>http://www.fractalus.com/gumbycat/gallery7.html (01-06-00)
>
>Drop by for a visit!  Please!
>Linda
>



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From: Gregory McClure <[e-mail]>
Subject: RE: (fractint) Pentium 700
Date: 07 Jan 2000 06:59:32 -0800

Hmmm, this is an interesting question, as it also would apply to some
software
I have created for multiprecision arithmetic.

There are three pieces to this puzzle:

1)  Internal hardware (video):  These probably won't really be affected =
by
the
    faster PC.  They are constrained to the accelerator used, and at =
these
speeds,
    probably won't see a difference, unless you have a change to a =
faster
accelerator.

2)  Computer memory:  They don't make memory that fast.  So removing =
cache
con-
    siderations, it won't make a difference at these speeds.  Your =
processor
is
    wait-stateing on memory fetches / stores to computer main memory, =
and at
these
    speeds won't see a difference.

3)  Processor / cache:  Now we get to some speed bumps.  If the cache =
is
large
    enough and fast enough, you MAY see a speed difference.  I am =
assuming
you are
    talking about a Pentium-II or Pentium-III style processor when you =
use
the 700
    MHz speed quote.  These processors, to some degree, pipeline
instructions for
    potential multiple instruction execution.  I am not sure what the =
top
limit of
    cache memory speed is, but bumping 350 to 700 Mhz may do something =
for
you.
    If you are looking for 2X improvement, you are probably not going =
to see
that.
    Fractals computation will be faster, but storage of a fractal of =
ANY
decent size
    will probably overflow whatever cache you have and start swapping =
with
the much
    slower main memory.

Of course, the Fractal program would have to take advantage of =
processor
pipelining
to get any of those speed benefits...

Well, that's my guess anyway.  Anybody who has a better knowledge of =
the
processor
and cache capabilities of the Pentium-series chips probably can give =
you a
more
accurate answer!

  The Kwisatz Haderach,
=DF  Gregory J. McClure


-----Original Message-----
Sent: Thursday, January 06, 2000 4:40 PM


Hi Everyone,

I see speeds of Pentiums going faster all the time. Will a Pentium 700 =
speed

the generation of FRACTAL images more than say a 350 Pentium would? Or =
is=20
there just a point that generation time can't be speeded up any =
further?

--Bob Carr--

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From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) Speaking of new galleries.....
Date: 07 Jan 2000 12:53:50 -0600

Greetings,

Stephen C. Ferguson has just put up a page at the following location:

     http://home.hiwaay.net/~stephenf/gallery-atr-02/index.htm

The formulas are producing very interesting images.

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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) New Gumbycat Gallery
Date: 07 Jan 2000 11:04:18 -0800

Fractal calendar?  Oooo... Where can I find such as that?

-----Original Message-----
Sent: Friday, January 07, 2000 8:42 AM


Nice site. I always love your galleries.  ....as I love the fractal calendar
that I have up now. January's fractal is one of yours, as are many of the
other months. It's the best fractal calendar I've owned.

Marie  :)
-----Original Message-----


>http://www.fractalus.com/gumbycat/gallery7.html (01-06-00)
>
>Drop by for a visit!  Please!
>Linda
>



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From: "Mike and Linda Allison" <[e-mail]>
Subject: Re: (fractint) New Gumbycat Gallery
Date: 07 Jan 2000 11:24:07 -0800

>Fractal calendar?  Oooo... Where can I find such as that?

Calendar Club sells them.  But it you don't have a Calendar Club near
you, Rollo Silver sells them out of:

http://www.newmex.com/artvark/index/2000_Fract_Univ_Calendar/2000_Fract_
Univ_Calendar.html

Linda A


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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) New Gumbycat Gallery
Date: 07 Jan 2000 13:28:48 -0700


In article <[e-mail]>,
    "Dave Hershey (Volt Computer)" <[e-mail]>  writes:

> Fractal calendar?  Oooo... Where can I find such as that?

I was given one for xmas and I recognized almost all the names of the
contributors from this list.  Its called "Fractal Universe 2000" by
Avalanche publishing.
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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From: "Mike and Linda Allison" <[e-mail]>
Subject: (fractint) Re: New Gumbycat Gallery
Date: 07 Jan 2000 16:24:29 -0800

Hi, Everyone -

I've been trying to answer, off the lists, all the kind comments I've
received on my new Gallery 7.  I hope I haven't missed anyone!  But I
want to make certain to express my appreciation to all of you!  I'm so
glad you like my images.  Your comments have been most kind and
encouraging!

Thank you,
Linda A
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

Gumbycat's pages:
http://www.fractalus.com/gumbycat/gallery7.html (01-06-99)

http://www.toptown.com/innercircle/gumbycat/index.html (last update
10-27-99)
(Gallery 12 is the newest, but Galleries 1 thru 11 have also been
"renovated."
So please visit them all!)

Recent Usenet postings:
http://www.fractalus.com/gumbycat/abpf.html (last update 12-01-99)

Copyright, all rights reserved:
http://www.fractalus.com/gumbycat/copyright.html

My GeoCities pages?  All moved to Fractalus!
My Email address?  Changed to [e-mail]
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 07 Jan 2000 22:45:34 -0500

Heh...

 - Interesting!  I think some other people have mentioned that they feel
 - fractint really stresses out their monitor because of the large
 - numbers of mode switches in a session.

I don't "feel" it does. I know it does. I blew the horizontal output
transistor in a monitor *twice* because I had learned FractInt's keyboard
controls sufficiently to do about one mode switch per second, sustained for
a couple of minutes. I did this while flipping through images, looking for
specific ones.

When flipping modes in FractInt, the best advice is to take it slow. Don't
rush. Monitors aren't really designed to switch modes rapidly or
frequently.

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 07 Jan 2000 22:45:32 -0500

Bob,

 - I see speeds of Pentiums going faster all the time. Will a Pentium 700
speed
 - the generation of FRACTAL images more than say a 350 Pentium would?

Generally, yes. Fractals are one of those things that, most of the time,
are almost entirely CPU-power driven. As pointed out, there are many
factors that affect a program's speed, and mainly it's the slowest task
that has the biggest impact. Thus a task which involves reading lots of
data from your hard drive will chiefly be limited by the speed of your
drive; complex 3D rendering in games is chiefly limited by the speed of the
3D hardware in your video card; and for fractals, the rendering is chiefly
limited by the speed of the floating-point unit in your CPU.

I mention floating-point specifically because the Pentium-III appears to be
very close to the Pentium-II in this area of performance, when comparing
similar MHz CPUs. However, the Athlon processor from AMD seems to offer
substantially greater performance for the same MHz. (That is, a 500MHz
Athlon should be faster for fractals than a 500MHz Pentium-III.) Please
note, this is NOT true for earlier AMD processors like the K6; these are
SLOWER than the Intel chips at the same clock speed. Only the Athlon (K7)
is faster.

Note that all of this applies ONLY if the fractal takes sufficient time to
calculate that CPU performance is the limiting factor (i.e. takes more than
a few seconds). If you are exploring fractals with complex formulas, this
really shows, but many simple fractals can be rendered very quickly by
today's processors, such that a faster processor might not be much faster
at producing fractals.

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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-------------------------------------------------------------------------------

From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 07 Jan 2000 22:45:35 -0500

Morgan,

 - But note that unless you have something like a RAM disk that can buffer
all
 - your fine work, you would quickly hit a bottleneck in disk I/O -
something
 - that is even more of a constraint than video refresh rates.

FractInt's disk-video modes do in fact buffer line data.

Damien M. Jones   \\
[e-mail]  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.


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From: Bob Margolis <[e-mail]>
Subject: (fractint) Using your face as an orbit trap
Date: 07 Jan 2000 23:47:39 -0600

Greetings Fractalizens;

Any of you fractal formula writers see any possibility with the following
document found at

http://buh.sj.ca.us/fractals/morph/morph.shtml ?

This is not my Web site. Heck, I don't even have a Web site.

Bob Margolis
[e-mail]

=============================

Experiment: Fractal Fun House

This coloring method is a rather interesting application of the orbit trap
method I've discovered (probably not the first though).
Basically, with orbit trap coloring, there are areas on the complex plane that
"trap" the orbit, and give the pixel a color. Since
diffent iterations trap at different times, you get an interesting layered
effect.

I came up with the idea of using an image as my orbit trap, instead of a
function. So I took the complex plane, and mapped an
image of my face to it. For each pixel, iterate the fractal formula N times,
then grab the color of the pixel from the image map
based on the last iterated value.

To make these interesting images, I've only iterated the fractal formula 1 or 2
times. This method is a very cool way to explore
the inner working of many fractal formulas. But for now, lets just have some
fun with my face...

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From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 08-01-00 (Epicycle) (c)
Date: 08 Jan 2000 01:20:23 -0500 (EST)


FOTD -- January 08, 2000

Fractal enthusiasts and visionaries:

I named today's wonder-fractal "Epicycle".  I have no idea why I
gave it such a name, but the more I study the image, the more
appropriate the name seems.  The formula behind the scene is
0.1Z^100+Z+C, a formula that does a lot more than one would
suppose at first glance.

Although the midget is plainly a quadratic one, the pattern
around it is filled with the typical stuff of the very high-
order Mandeloids.  The parameter file is moderately slow -- slow
enough to raise impatience.  My recommendation is to download
the image file from Usenet at:

          <alt.binaries.pictures.fractals>

or from the Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was sunny and mild today, with an afternoon
temperature of 52F (11C) that kept the fractal cats happy.  And
since my philosophy backlog has been emptied, I have no philos-
ophy at this time.  So until next time, take care, and stick
with fractals until the victory is won.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Epicycle           { ; time=0:06:34.32 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06351393614678295/+0.00201618271204296\
  /1954447/1/180 params=0.1/100/1/1/0/0 float=y
  maxiter=20000 bailout=25 inside=0 logmap=69
  symmetry=none periodicity=10
  colors=000eHT<6>mUWnWWpXX<2>sbYtcYs`V<3>rSMqQJqNH<2>\
  pHA<4>XLHTLJPMKLNLDOODOOAOP<2>0yS<3>OqeToiZml<2>ohv<\
  8>qMdqKbrH`<3>r8U<3>Z5JU4GP3DK2A011F28A15502IWs<3>9G\
  S6CL48E247ATD<4>5G75E64C5<3>021Usf<19>7EB6C95A7<3>12\
  1_UI<7>GE8EC7CA6<3>221389<5>144134133<3>000Neb<21>6l\
  B5lA5l8<3>2n31o20o1Spv<3>ErTAsM7tE3u7_vc<3>MzPJzLGzI\
  <3>3z3OzV<3>EzICzF9zC<2>2z3uz4<3>Bz02zm<14>0zF0zD0zB\
  <3>0z2JzX<4>BzJ9zG7zD<3>1z2rz`<2>gzT`zR<2>dzT
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Epicycle           { ; time=0:06:34.32 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.06351393614678295/+0.00201618271204296\
  /1954447/1/180 params=0.1/100/1/1/0/0 float=y
  maxiter=20000 bailout=25 inside=0 logmap=69
  symmetry=none periodicity=10
  colors=000eHT<6>mUWnWWpXX<2>sbYtcYs`V<3>rSMqQJqNH<2>\
  pHA<4>XLHTLJPMKLNLDOODOOAOP<2>0yS<3>OqeToiZml<2>ohv<\
  8>qMdqKbrH`<3>r8U<3>Z5JU4GP3DK2A011F28A15502IWs<3>9G\
  S6CL48E247ATD<4>5G75E64C5<3>021Usf<19>7EB6C95A7<3>12\
  1_UI<7>GE8EC7CA6<3>221389<5>144134133<3>000Neb<21>6l\
  B5lA5l8<3>2n31o20o1Spv<3>ErTAsM7tE3u7_vc<3>MzPJzLGzI\
  <3>3z3OzV<3>EzICzF9zC<2>2z3uz4<3>Bz02zm<14>0zF0zD0zB\
  <3>0z2JzX<4>BzJ9zG7zD<3>1z2rz`<2>gzT`zR<2>dzT
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Tom Conally <[e-mail]>
Subject: (fractint) trivia
Date: 08 Jan 2000 08:53:13 -0500

Just a bit of trivia- I was searching bread recipes and found this:
Mandelbrot - (Almond Bread)
http://sunsite.auc.dk/recipes/english/o0340658.html

Just caught me by surprise.

Tom Conally
In every boomerang there is a perfect throw.
Your life, Grasshopper, is to practice  till you find that throw
and become one with that boomerang!
__________________________________________
Boomerangs        http://fly.to/boomerangs
Internet Index       http://www.netpath.net/~conally/



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 09-01-00 (Z Exponent Epsilon) (c)
Date: 09 Jan 2000 01:25:12 -0500 (EST)


FOTD -- January 09, 2000

Fractal enthusiasts and visionaries:

This afternoon I decided against my overworked M-Mix4 formula
and investigated the fractal that Lee Skinner named Zexpe, a
little known fractal whose formula is a very simple Z^e+C, and
which can be calculated with the manzpower formula hard coded
into Fractint.

On the surface, this fractal looks much like the Z^3 Mandeloid,
but inside it is completely different.  One of the more curious
things with this fractal is the graceful way in which it handles
its discontinuities.  With an irrational exponent of Z, the
resulting fractal must necessarily be filled with discontinui-
ties, but as today's FOTD shows, these breaks merely add to the
interest.

I have named the picture "Z_Exponent_Epsilon" for purely descrip-
tive reasons.  The parameter file is slow; the download is fast.
That download may be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the W.W.Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was fairly normal today, with hazy sun and a
temperature of 45F (7C), which was perfect for fractals, though
a bit too cool for the fractal cats.  It was also perfect for
deep thought on remote philosophical things.  But I'll hold back
the philosophy for a few days, lest the world be overwhelmed
with so much wisdom in so short a period of time.  ;-)

Until tomorrow, good night or good day, and I'd walk a kilometer
for a fractal.


Jim Muth
[e-mail]


START PARAMETER FILE=======================================

Z_Exponent_Epsilon { ; time=0:26:54.86 on a p200, SF5
  reset=2000 type=manzpower passes=1
  center-mag=-0.71508573656445930/+0.11995125403088740\
  /2.844681e+007/1/-117.5 params=0/0/2.71828182845905/0
  float=y maxiter=5000 bailout=25 inside=0 logmap=-560
  symmetry=xaxis periodicity=10
  colors=000WS_YU_<3>jedmhfpkgvmk<3>jn`gnYdnVbnT<9>PbT\
  NaTM`T<3>GWTFUTDTTCRT<2>BNUBLUBLUBJVBIVBGV<2>BEWBDWB\
  EW<3>BBXBAXB9X<3>B6Y52YB6Y<2>RGL<2>uR7zT1zW3wY4r_6l`\
  7eb9<3>`gFZhGYiIWjJVmLRoMUqO<2>wxSzzUyzVxzW<2>wuNwsL\
  wpIvnFuq9rkD<2>k_NhWRgUSfSUoHHw64<4>rUPqZUpcYoganlem\
  qilvo<13>nhXngVnfU<2>ncQnbPnbPdePVgP<3>nvd<15>JkEHkD\
  FjB<3>7h5<3>RSGWNJ`JLeFOiBQ<11>o`ZocZoe_<2>qkaqmbrnd\
  <6>luTkvSjwQixOiyN<3>ezGhz9<3>YzXWzbUza<3>QzZPzZRzY<\
  3>XzUYzTZzSYzUXzVXzW<4>LzRJzQGzP<3>7zLoz7<3>gzIJzO<7\
  >LzUPzWSzX
  }

END PARAMETER FILE=========================================


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-------------------------------------------------------------------------------

From: "Fliguer, Miguel" <[e-mail]>
Subject: (fractint) New ! Improved ! The Franktal Gallery is back !
Date: 09 Jan 2000 15:16:36 -0300

This message is in MIME format. Since your mail reader does not understand
this format, some or all of this message may not be legible.

------_=_NextPart_001_01BF5ACD.AAE393E0
Content-Type: text/plain

Hola !

The Franktal Gallery is back !!  It has been extensively
redesigned, revamped, refurbished and redeployed
for your visual AND AURAL pleasure !!
Yes, that's right !  Now with music pars !!!
So what are you waiting for ? SURF NOW !!

Just type :

http://members.xoom.com/fliguer/franktal.html

This offer will not be repeated !!!!!

Whew.  Well, as usual, your comments are most welcome,
either to the list or to :

  f r a n k t a l @ h o t m a i l . c o m

I'll be glad if ONE of you could repost this message
to the fractal-art mailing list. Thanks in advance !

Regards,
Miguel Fliguer
Buenos Aires. Argentina


------_=_NextPart_001_01BF5ACD.AAE393E0
Content-Type: text/html
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<HTML>
<HEAD>
<META HTTP-EQUIV=3D"Content-Type" CONTENT=3D"text/html; =
charset=3DUS-ASCII">
<META NAME=3D"Generator" CONTENT=3D"MS Exchange Server version =
5.5.2448.0">
<TITLE>New ! Improved ! The Franktal Gallery is back !</TITLE>
</HEAD>
<BODY>

<P><FONT SIZE=3D2 FACE=3D"Courier">Hola !</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">The Franktal Gallery is back =
!!  It has been extensively</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">redesigned, revamped, refurbished =
and redeployed</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">for your visual AND AURAL pleasure =
!! </FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">Yes, that's right !  Now with =
music pars !!!</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">So what are you waiting for ? SURF =
NOW !!</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">Just type :</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier"><A =
HREF=3D"http://members.xoom.com/fliguer/franktal.html" =
TARGET=3D"_blank">http://members.xoom.com/fliguer/franktal.html</A></FON=
T>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">This offer will not be repeated =
!!!!!</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">Whew.  Well, as usual, your =
comments are most welcome,</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">either to the list or to :</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">  f r a n k t a l @ h o t m a i =
l . c o m </FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">I'll be glad if ONE of you could =
repost this message</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">to the fractal-art mailing list. =
Thanks in advance !</FONT>
</P>

<P><FONT SIZE=3D2 FACE=3D"Courier">Regards,</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">Miguel Fliguer</FONT>
<BR><FONT SIZE=3D2 FACE=3D"Courier">Buenos Aires. Argentina</FONT>
</P>

</BODY>
</HTML>
------_=_NextPart_001_01BF5ACD.AAE393E0--

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-------------------------------------------------------------------------------

From: "Jim Shaffer, Jr." <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 09 Jan 2000 18:50:52 -0500

> I don't "feel" it does. I know it does. I blew the horizontal output
> transistor in a monitor *twice* because I had learned FractInt's keyboard
> controls sufficiently to do about one mode switch per second, sustained for
> a couple of minutes.

Is there some way that DOS can be made to use a different screen mode than
640x480 for its display, eliminating the need to switch modes between the
control screen and the display screen?

--
Message to France: Sterilize fascists, not pit bulls.



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-------------------------------------------------------------------------------

From: "Jim Shaffer, Jr." <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 09 Jan 2000 18:50:52 -0500

> I don't "feel" it does. I know it does. I blew the horizontal output
> transistor in a monitor *twice* because I had learned FractInt's keyboard
> controls sufficiently to do about one mode switch per second, sustained for
> a couple of minutes.

Is there some way that DOS can be made to use a different screen mode than
640x480 for its display, eliminating the need to switch modes between the
control screen and the display screen?

--
Message to France: Sterilize fascists, not pit bulls.



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 10-01-00 (It's Here) (c)
Date: 09 Jan 2000 20:16:21 -0500 (EST)


FOTD -- January 10, 2000

Fractal enthusiasts and visionaries:

Well, fractal folk, it's here.  Today's fractal that is.  When I
found it after an exhausting 13-minute search, I caught myself
murmuring, "it's here".  I rather liked the sound of the phrase,
so I gave the picture the name "It's Here".

The image was calculated with the M-Mix4 formula, (Yes I'm using
it again.), this time combining portions Z raised to the power
of two well-known irrational numbers -- the square root of two
and the golden ratio.  It is a lively scene, the brilliant
violet of the central midget being surrounded by a brick-red
star pattern and finally by dimpled green terraces.  The image
rates about a 5 on my 0-to-10 scale of FOTD satisfaction, which
equals adequate.

As can be inferred from the pattern of straight radiating spikes
surrounding it, the midget in the picture lies just beyond the
tip of the negative tail of a larger midget.  Had it been
located at the positive side of the larger midget, it would have
been surrounded by one of those hard-to describe brain-like
patterns.

The weirdness evident in the outer green area of the image is
one of those surprises that arises when two different exponents
of Z are combined.  These surprises are what keep me coming back
to this formula, which I have barely scratched the surface of.

The parameter file and formula are attached below.  The easiest
way to run the parameter file is simply to copy this entire
letter into your Fractint 20.0 directory with a *.par extension
and run the file as you would any parameter file.  But the
parameter file of today's image takes 5-1/2 minutes to run.
Therefore it might be better to download the JPEG image from the
Usenet binary group:

          <alt.binaries.pictures.fractals>

The image is also posted on the WWW at Paul Lee's site at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was cloudy, raw and cold, with light
rain in the afternoon and a temperature of 42F (5.5C) that
turned the fractal cats into radiator cats for the day.  But
though such conditions are not so good for cats, they are
perfect for fractals and philosophy.  The fractal has already
appeared, the philosophy, which is as controversial as always,
will soon do so.

Well, I guess this brings us to the end of another FOTD.  Little
did I imagine when I started this series back in the spring of
1997 that it would grow to such epic proportions.  And the end
is nowhere in sight -- at least not until I run out of fractals.
Until next time, take much care, and see you soon.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}


END FORMULA================================================

START PARAMETER FILE=======================================

Its_here           { ; time=0:05:25.20 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.47981638257235670/-0.69844553683214140\
  /4.919428e+007/1/-57.499
  params=1/1.4142136/-1/-1.6180339/0/1000 float=y
  maxiter=1200 bailout=25 inside=0 logmap=102
  symmetry=none periodicity=10
  colors=0000C90C90EA0GB3IC5KD9NE<5>SWKVYLYZM``NdaO<2>\
  mfPpgPqfPqfP<3>wfPyfPyfPzfPzfP<2>lVP<2>YJGTFDQBAK77D\
  34902<9>K59L69M6A<2>Q8CR8CU7C<3>c7Ce7Cg7Ch7C<3>YBFVB\
  FSCG<3>KFI<3>k6Nr4Oy2P<3>iIPeLPaPP<2>R_P<3>T_QU_QU_Q\
  U_Q<7>FKWDIWBGX<3>48Z<3>KeOOnLSvJ<4>bcEe`EgXD<3>oJA<\
  5>YEJVDKSDM<3>GAR<3>INGIQEITBIW9<7>alTcnWfpY<3>oxg<3\
  >OeTH`PAWL3SI<3>dMfmKlvJr<3>hoZewVis`<3>wctz_yyZv<7>\
  tYesYcsXa<3>pXUpXc<3>n`cnacnYcnZcmXhmUmmPrkLz<3>qMzr\
  MztMzuMzwMzxMz<5>wBzw9zw8z<3>w1z<3>x8zyAzzBzzAzz9z<1\
  2>zAz
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Its_here           { ; time=0:05:25.20 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.47981638257235670/-0.69844553683214140\
  /4.919428e+007/1/-57.499
  params=1/1.4142136/-1/-1.6180339/0/1000 float=y
  maxiter=1200 bailout=25 inside=0 logmap=102
  symmetry=none periodicity=10
  colors=0000C90C90EA0GB3IC5KD9NE<5>SWKVYLYZM``NdaO<2>\
  mfPpgPqfPqfP<3>wfPyfPyfPzfPzfP<2>lVP<2>YJGTFDQBAK77D\
  34902<9>K59L69M6A<2>Q8CR8CU7C<3>c7Ce7Cg7Ch7C<3>YBFVB\
  FSCG<3>KFI<3>k6Nr4Oy2P<3>iIPeLPaPP<2>R_P<3>T_QU_QU_Q\
  U_Q<7>FKWDIWBGX<3>48Z<3>KeOOnLSvJ<4>bcEe`EgXD<3>oJA<\
  5>YEJVDKSDM<3>GAR<3>INGIQEITBIW9<7>alTcnWfpY<3>oxg<3\
  >OeTH`PAWL3SI<3>dMfmKlvJr<3>hoZewVis`<3>wctz_yyZv<7>\
  tYesYcsXa<3>pXUpXc<3>n`cnacnYcnZcmXhmUmmPrkLz<3>qMzr\
  MztMzuMzwMzxMz<5>wBzw9zw8z<3>w1z<3>x8zyAzzBzzAzz9z<1\
  2>zAz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: BILL RAY <[e-mail]>
Subject: Re: (fractint) New ! Improved ! The Franktal Gallery is back !
Date: 10 Jan 2000 00:15:43 -0500


--------------DA911B5760F1609FC769EEB4
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"Fliguer, Miguel" wrote:

>
>
> Hola !
>
> The Franktal Gallery is back !!  It has been extensively
> redesigned, revamped, refurbished and redeployed
> for your visual AND AURAL pleasure !!
> Yes, that's right !  Now with music pars !!!
> So what are you waiting for ? SURF NOW !!
>
> Just type :
>
> http://members.xoom.com/fliguer/franktal.html
>
> This offer will not be repeated !!!!!
>
> Whew.  Well, as usual, your comments are most welcome,
> either to the list or to :
>
>   f r a n k t a l @ h o t m a i l . c o m
>
> I'll be glad if ONE of you could repost this message
> to the fractal-art mailing list. Thanks in advance !
>
> Regards,
> Miguel Fliguer
> Buenos Aires. Argentina

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<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>

<p>"Fliguer, Miguel" wrote:
<blockquote TYPE=CITE>
<p><font face="Courier"><font size=-1>Hola !</font></font>
<p><font face="Courier"><font size=-1>The Franktal Gallery is back !!
It has been extensively</font></font>
<br><font face="Courier"><font size=-1>redesigned, revamped, refurbished
and redeployed</font></font>
<br><font face="Courier"><font size=-1>for your visual AND AURAL pleasure
!!</font></font>
<br><font face="Courier"><font size=-1>Yes, that's right !  Now with
music pars !!!</font></font>
<br><font face="Courier"><font size=-1>So what are you waiting for ? SURF
NOW !!</font></font>
<p><font face="Courier"><font size=-1>Just type :</font></font>
<p><font face="Courier"><font size=-1><a href="http://members.xoom.com/fliguer/franktal.html" TARGET="_blank">http://members.xoom.com/fliguer/franktal.html</a></font></font>
<p><font face="Courier"><font size=-1>This offer will not be repeated !!!!!</font></font>
<p><font face="Courier"><font size=-1>Whew.  Well, as usual, your
comments are most welcome,</font></font>
<br><font face="Courier"><font size=-1>either to the list or to :</font></font>
<p><font face="Courier"><font size=-1>  f r a n k t a l @ h o t m
a i l . c o m</font></font>
<p><font face="Courier"><font size=-1>I'll be glad if ONE of you could
repost this message</font></font>
<br><font face="Courier"><font size=-1>to the fractal-art mailing list.
Thanks in advance !</font></font>
<p><font face="Courier"><font size=-1>Regards,</font></font>
<br><font face="Courier"><font size=-1>Miguel Fliguer</font></font>
<br><font face="Courier"><font size=-1>Buenos Aires. Argentina</font></font></blockquote>
</html>

--------------DA911B5760F1609FC769EEB4--


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-------------------------------------------------------------------------------

From: "Mike & Linda Allison" <[e-mail]>
Subject: Re: (fractint) New ! Improved ! The Franktal Gallery is back !
Date: 10 Jan 2000 00:41:00 -0800

Miguel -

Great gallery - I'm glad it's back!

I'm partial to spirals myself, and you have some beauties! spir0008.jpg is
nice.  Very hypnotic!  And I love angular spirals like spir0014.jpg.  But I
think my favorite of the whole page was the non-spiral tribute to Frank
Zappa image, zswami.jpg.  It made me laugh!

Thanks for the enjoyment!
Linda A


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From: [e-mail]
Subject: (fractint) time to visit video again?
Date: 10 Jan 2000 09:11:39 GMT

Does anyone know if the tnt2 video cards like the diamond 770 support
the high end vesa modes? None of the manufacturer sites or reviews
I've read seem to think such things are worth mentioning. Any links to
sites that keep track of this would be kewl.

I know the Matrox milleniums, Matrox g200 and diamond 550 do but they
don't have 32m memory.

juice --have fun --harm none
INTP   G BR W

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From: "Jean-Pierre Louvet" <[e-mail]>
Subject: (fractint) Re: [ultrafractal] New Gumbycat Gallery
Date: 10 Jan 2000 11:43:02 +0100

Linda,
I can't find better words than others have wrote. I must choose !!! ???...
Perhaps 7.07, 7.13, 7.16, 7.23, 7.20, 7.25, 7.33, 7.38... and many others.

Cheers.

Jean-Pierre




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From: "Jean-Pierre Louvet" <[e-mail]>
Subject: (fractint) A new FAQ
Date: 10 Jan 2000 13:12:21 +0100

Some time ago I evoked the question of a new (or updated) FAQ. I have read
some replies, specially from Damien Jones (unfortunately I have not this
message in the computer I use today and I don't remember in what list Damien
has posted it).
Several messages where in the sci.fractals news group, the texts of some of
them are hereafter and personal comments follow.

>>Michael Taylor (to me)

You or anyone else are allowed to create a derived (and updated) FAQ
based on sci.fractals FAQ edited by Michael C Taylor and yourself.

I'm too busy with too slow a link to maintain it.

>>J.P. Louvet

----Personal comment : this message was sent to Michael Talor on 3/01. Today
I have no reply----

Happy new year. Thank you for your reply. I will follow up it to some
fractal mailing lists to see if somebody is interested. I know that Damien
Jones is in favor of a fractal-art FAQ. The question is the scope of the
FAQ. It is obvious that a sci.fractal FAQ and a fractal-art FAQ may have
many parts similar, and some different. It is usual that news groups have a
FAQ : it is why sci.fractal FAQ is a good name (with something like "created
by Michael Taylor, continued by xxxx"), better than fractal-art FAQ. But the
sci.fractals news group is not very active and a great number of people will
be more interested by fractal art.
What is your opinion?


>>J.P. Louvet

.....
We have now the position of Michael Taylor (however I am waiting for a reply
to my last message). But before doing more we need to answer to the question
of the scope of a future FAQ : a strictly theoretical FAQ (perhaps Roger
Bagula is in favor of this?), or a FAQ intended for a greater number of
presumptive readers, mainly interested by fractal art (but with a number of
theoretical questions/answers). This is more likely the opinion of Damien
Jones. The present (and not updated) FAQ has not a clear orientation about
this question.

>>Roger Bagula (excerpt)

How about:
sci.fractal FAQ--> theory and programming of fractals
alt.fractal FAQ---> fractal art and popular fractal subjects
Since the two discussion groups exist and a lot of us read both.

>>Mixmaster

How about two FAQs...
  the sci.fractals / alt.fractals FAQ, on theoretical topics
and
  the alt.binaries.pictures.fractals FAQ, on fractal art

>>A.B.P.F.

This would keep both FAQs more oriented toward their specific
newsgroups, and keep the sizes more reasonable for each.

Though they both should have _current_ references to each other
(probably in the initial introduction) explaining the basics of each
FAQ.  Any changes to either sould be communicated between the
Author/Custodian of each.

>>A.B.P.F.

Since I already maintain the limited one for the A.B.P.F. newsgroup, it
would be no problem to also maintain and post the proposed one for
sci.fractals/alt.fractals

----Personal comment above these messages----

It seems that 2 FAQ might be the best choice.

1) A theoretical one might be a new sci-fractals FAQ and might be posted in
the sci.fractals group. It is not my domain of interest. Roger Bagula has
suggested several names of persons who might be solicited to maintain it.

2) A fractal art FAQ. The outline described by Damien in a previous message
seems to be good : questions/answers about the theoretical background (very
important) and more specific questions/answers about the programs, the
techniques (for examples coloring techniques, anti-aliasing, layers...),
printing... Some parts of the old FAQ can be reused.
But where does this FAQ might be posted? In sci.fractals or abpf (there is
no problem, I think, on the other hand to have a main web site and several
mirror sites)?
We have the candidacy of [e-mail] but I don't know who is behind
this "name". I think that there are many people in the 3 main discussion
lists who are well known artists and theoreticians.
Paul N. Lee has sent a reply about his page of links. It is a very great
source of information. I think that a FAQ must have links to such pages, but
it must be more concise because it is not the same scope (I have made the
error of giving too large lists of links in the old FAQ).
Who is interested to do the job... or to be the coordinator of a job made by
a small team (I can contribute to some extent)?

J.P. Louvet co-editor of the late FAQ.



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 11-01-00 (Memories) (c)
Date: 11 Jan 2000 00:06:11 -0500 (EST)


FOTD -- January 11, 2000

Fractal enthusiasts and visionaries:

Today I had an impure thought.  I found a midget 'brot with a
rather unusual looking outside pattern.  When I saw that
pattern, the devil put an impure thought into my head.  I
wondered what the midget would look like with one of the outside
coloring options other than the purist "iter".

Not really to my surprise, I found that the atan option gave a
quite interesting result, and a few minutes trying different
color palettes produced the striking blue image that is today's
FOTD.

The image reminds me of some vague forgotten thing that happened
long ago.  It's really a mood more than a memory, but the name
"Memories" is the one I settled on.

The parameter file renders in a fast 1-1/2 minutes -- about the
same time it would take to go to:

          <alt.binaries.pictures.fractals>

and download the JPEG file from there, or go to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

and download the image.

The fractal weather was changeable today.  A steady rain all
morning was followed by an almost instant clearing just after
noon.  The temperature of 50F (10C) was well above average but
still not warm enough for the cats, who spent the day by their
favorite radiator.

The philosophy is cooking, but it's not yet finished.  Stay
tuned to see what comes from the oven.  And while the philosophy
is chancy, the fractal for tomorrow is virtually certain.  Until
then, take care and enjoy yourself.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Memories           { ; time=0:01:44.80 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.50898713231029800/-2.23909609663967200\
  /426.6895/1/-72.499 params=-2/-2/1/0.9/0/11 float=y
  maxiter=500 bailout=25 inside=0 outside=atan logmap=6
  symmetry=none periodicity=10
  colors=000ej`<3>diadiadiabia<5>aha`ha`hb`fb<2>_fb_fb\
  Yfb<3>XebXeb_eeYedXdbVbaVdaUb`Tb_Ta_R`YQ`XQ_XO_VNYUL\
  XTLXTJVRHUQHUQGTOERNERNCQLAQJ9OH9NH6NG5LE5JE2JC0HA0G\
  A0G90E60C00E50E60E9<3>0EG0EH0EL0EN0EO2EQ<2>2EU5EV5EY\
  <3>6Eb6Ed6Ee9Ef9Eh9Gj<2>AGnAGoCGpCGqCGrCGtEGvEGwEGxE\
  GyGGz<5>HGzHGzJGz<3>JHzJHzJJzJJzJJzJLzJLzJNz<3>JOzJO\
  zJQz<2>JRzJRzJTz<5>JVzJVzJXz<2>JYzJYzJ_z<7>JbzJbzJbz\
  Jdz<4>JfzJfzJfzJhz<9>JlzJlzJlzJnz<12>JszJszJszJtzJtz\
  Jvz<8>JyzJyzJzz<4>JzzJzzJzz<3>JzzsrX<8>ppYppYppY<2>o\
  oYnoYno_no_no_lo_<3>kn_kn_kn_jl_<3>il`il`ik`hk`hk`hk\
  `fk`<2>fj`
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Memories           { ; time=0:01:44.80 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.50898713231029800/-2.23909609663967200\
  /426.6895/1/-72.499 params=-2/-2/1/0.9/0/11 float=y
  maxiter=500 bailout=25 inside=0 outside=atan logmap=6
  symmetry=none periodicity=10
  colors=000ej`<3>diadiadiabia<5>aha`ha`hb`fb<2>_fb_fb\
  Yfb<3>XebXeb_eeYedXdbVbaVdaUb`Tb_Ta_R`YQ`XQ_XO_VNYUL\
  XTLXTJVRHUQHUQGTOERNERNCQLAQJ9OH9NH6NG5LE5JE2JC0HA0G\
  A0G90E60C00E50E60E9<3>0EG0EH0EL0EN0EO2EQ<2>2EU5EV5EY\
  <3>6Eb6Ed6Ee9Ef9Eh9Gj<2>AGnAGoCGpCGqCGrCGtEGvEGwEGxE\
  GyGGz<5>HGzHGzJGz<3>JHzJHzJJzJJzJJzJLzJLzJNz<3>JOzJO\
  zJQz<2>JRzJRzJTz<5>JVzJVzJXz<2>JYzJYzJ_z<7>JbzJbzJbz\
  Jdz<4>JfzJfzJfzJhz<9>JlzJlzJlzJnz<12>JszJszJszJtzJtz\
  Jvz<8>JyzJyzJzz<4>JzzJzzJzz<3>JzzsrX<8>ppYppYppY<2>o\
  oYnoYno_no_no_lo_<3>kn_kn_kn_jl_<3>il`il`ik`hk`hk`hk\
  `fk`<2>fj`
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) New ! Improved ! The Franktal Gallery is back !
Date: 11 Jan 2000 02:16:06 EST

In a message dated 00-01-09 13:21:28 EST, you write:

<< Subj:     (fractint) New ! Improved ! The Franktal Gallery is back !
 Date:  00-01-09 13:21:28 EST
 From:  [e-mail] (Fliguer, Miguel)
 Sender:    [e-mail]
 Reply-to:  [e-mail]
 To:    [e-mail] ('[e-mail]')

 Hola !

 The Franktal Gallery is back !!  It has been extensively
 <snip>
 I'll be glad if ONE of you could repost this message
 to the fractal-art mailing list. Thanks in advance !

 Regards,
 Miguel Fliguer
 Buenos Aires. Argentina
  >>
(***** I"ve forwarded it to the Fractal-art list. Congrats on your gallery,
can't wait to play with the sound pars and see the spirals of which Gumbycat
spoke!
~ren

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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) 3 cool pars ~
Date: 11 Jan 2000 02:27:49 EST


 Here are a few I've enjoyed running across recently,....hope you enjoy as
well.

 Jim Weaver
__________________________________________________________

pkpeaks.gif        { ; image(c)2000 Jim Weaver
  reset=1960 type=formula formulafile=fractint.frm formulaname=ok-36
  function=cotan/cosxx/cosh/cosxx passes=t
  center-mag=1.85462/1.9603/17.86519/1/105 params=0.2/0/0/0 float=y
  maxiter=25 inside=bof60 outside=atan
  colors=D7LC05<21>50UA5WC7WE9X<6>MH_NI_NJ`<5>SNaSObTObTPbUPb<14>aXeaYfaYf\
  bYf<32>njkkjn<23>mqumrvlps<2>gjjeggcef<16>3EI0CG0DH<4>0IJ0JK1LL1NL<5>0ZK\
  0XK0VK<7>02C63C<6>YPI<4>rhAreAqaAqZB<16>C6E20C<3>BAIDCJDBJDAKD8KD5M<22>p\
  ps<17>C04
  }

ok20eps9.gif       { ; image(c)2000 Jim Weaver
  reset=1960 type=formula formulafile=fractint.frm formulaname=OK-20
  function=sin/atan passes=t
  center-mag=-6.86666/-1.29674e-013/0.1440395/1/-90 params=100/0
  float=y maxiter=125 inside=startrail invert=1/-0.1/0 decomp=256
  periodicity=0
  colors=000ozC<2>zz0<15>z1z<15>000<8>0N00Q00T00W00Z0<2>0f0<15>zz0<15>zzz<\
  15>000<12>TN0WO0YQ0`S0aU0<14>zz0<14>jB0i70f70<14>000<15>S5N<15>zz0<14>ZZ\
  8XX8VW8TU8RS8<2>LM6JK6HI6FG6DF5<2>795574354033077<13>4zz<11>kzG
  }

3rdCoast.gif       { ; image(c)2000 Jim Weaver
  reset=1960 type=mandel(fn||fn) function=log/flip passes=t
  center-mag=+1.60533291452199800/-1.33498883875210200/1.18619/1/45
  params=0/0/0.7541600000000001 float=y maxiter=255 inside=bof60
  decomp=256 periodicity=0
  colors=000700<11>`00c00d44<13>zzz<3>snNukDsh3qe0<2>kX0aU0<9>I00<8>000300\
  000003005<5>D0KF0MJ0P<3>Q0ZS0`U2cW4d<2>aGhcKieMkgOmiWokYpmbqoesqjusovupw\
  xvyzzzyvxwpuvosujqseoqbmpYkoWimOgkMeiKc<2>f8Yd4Wc2U`0S<4>R0IP0GN0GL0C<4>\
  B02900700500005<13>00c<15>zzz<15>EEcBBa88Z<2>00S<9>003000022<14>0cc<15>z\
  zz<15>0c0<14>030000200500
  }


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-------------------------------------------------------------------------------

From: "Dave Hershey (Volt Computer)" <[e-mail]>
Subject: RE: (fractint) Pentium 700
Date: 11 Jan 2000 15:52:57 -0800

The old MODE command might work.  However, FRACTINT may take control of the
screen mode from DOS and put it back to a text screen.

-----Original Message-----
Sent: Sunday, January 09, 2000 3:51 PM


> I don't "feel" it does. I know it does. I blew the horizontal output
> transistor in a monitor *twice* because I had learned FractInt's keyboard
> controls sufficiently to do about one mode switch per second, sustained
for
> a couple of minutes.

Is there some way that DOS can be made to use a different screen mode than
640x480 for its display, eliminating the need to switch modes between the
control screen and the display screen?

--
Message to France: Sterilize fascists, not pit bulls.



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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Pentium 700
Date: 11 Jan 2000 17:11:15 -0700


In article <[e-mail]>,
    "Dave Hershey (Volt Computer)" <[e-mail]>  writes:

> The old MODE command might work.  However, FRACTINT may take control of the
> screen mode from DOS and put it back to a text screen.

It does.  Fractint forces a mode switch between text and graphics mode
everytime it wants to alternate between showing graphics and text.
I'm afraid there's no workaround, the code just has to be changed.
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 12-01-00 (Dancing Mandelbrot) (c)
Date: 12 Jan 2000 01:39:29 -0500 (EST)


FOTD -- January 12, 2000

Fractal enthusiasts and visionaries:

Today's fractal shows how much can be done with how little.  It
is a slice through the Seahorse Valley area of the Julibrot, cut
at a remote angle which is impossible to imagine.  The image was
calculated with the under-used ranges and banding features of
Fractint in effect.

There are a grand total of 13, (count them), colors in the
picture.  That is all.  And this in an era where the number of
colors is counted in the tens of millions.  I named the picture
"Dancing Mandelbrot" when I noticed the tortured, stretched and
twisted foreground elements throughout the scene.

The formula by John Goering was posted to the Fractint list a
few months ago.  It's the only formula I am aware of that
actually draws every possible orientation through the four-
dimensional Julibrot figure, though due to the limit of six
variable parameters in Fractint's type=formula fractals, it
lacks the ability to assign a non-zero starting value to Z.

The attached parameter file renders in 3 minutes -- just slow
enough to make a download of the image the better choice.  The
GIF image may be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was quite interesting today.  A clear
sunrise was followed by an unexpected thunder-storm at 11am,
which produced winds of 62mph (100kph).  This was followed by a
sunny afternoon, interrupted by a second squall at 4pm.  It
finally cleared for good at sunset.  All the wind and the
temperature of 48F (9C) kept the fractal cats indoors snuggled
by their radiator.

It was also a good day for philosophy.  My misguided musings
were posted earlier to the Philofractal list.  And now it's time
to shut the shutters, feed the cats and call it a night.  Until
then, take care, and it's a night!


Jim Muth
[e-mail]


START FORMULA==============================================

SliceJB {; by John R. H. Goering, July 1999
  pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
  b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
  cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
  sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
  s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s):
  z=z*z+c
  |z|<=9
  }

END FORMULA================================================

START PARAMETER FILE=======================================

Dancing_Mandelbrot { ; time=0:03:13.16 on a p233, SF5
  reset=2000 type=formula formulafile=julibrot.frm
  formulaname=SliceJB passes=t
  center-mag=-0.449174/-0.139865/7.839261/3.5684/-146.\
  645/17.882 params=0.39/0.39/0.39/0.39/-0.75/0
  float=y maxiter=32767 bailout=25 inside=13
  logmap=25 symmetry=none periodicity=10
  ranges=0/-1/135/140/150/165/195/235/290/390/565/1600\
  /32767
  colors=000GA0KPUZNc<2>gXlj`omer<2>vuxzwzZKm000<240>0\
  00
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Dancing_Mandelbrot { ; time=0:03:13.16 on a p233, SF5
  reset=2000 type=formula formulafile=julibrot.frm
  formulaname=SliceJB passes=t
  center-mag=-0.449174/-0.139865/7.839261/3.5684/-146.\
  645/17.882 params=0.39/0.39/0.39/0.39/-0.75/0
  float=y maxiter=32767 bailout=25 inside=13
  logmap=25 symmetry=none periodicity=10
  ranges=0/-1/135/140/150/165/195/235/290/390/565/1600\
  /32767
  colors=000GA0KPUZNc<2>gXlj`omer<2>vuxzwzZKm000<240>0\
  00
  }

frm:SliceJB {; by John R. H. Goering, July 1999
  pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
  b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
  cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
  sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
  s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s):
  z=z*z+c
  |z|<=9
  }

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 13-01-00 (One and Three) (c)
Date: 13 Jan 2000 00:47:20 -0500 (EST)


FOTD -- January 13, 2000

Fractal enthusiasts and visionaries:

I named today's picture "One and Three" because it is part of
the fractal that results when Z is added to 3(Z^3), and a
critical plane is drawn.  The parent fractal is an interesting
Mandeloid rotated 90 degrees CW, so that west is down.

The parent fractal has many interesting areas filled with
midgets unlike any that appear in the classic M-set.  Today's
midget lies in an entirely new valley that appears well east of
the East Valley area, in an area that is totally featureless in
the classic M-set.

The pattern around the midget has traces of both the brain-like
features of the East Valley area and the spiky features of the
tip of the Negative tail, but they are mixed together into an
entirely new pattern.

The parameter file runs in 9 minutes, which is slow enough to
cause one to run to the internet to download the JPEG image file
from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was sunny and mild.  The afternoon
temperature of 50F (10C) was comfortable enough to lure the
fractal cats onto the SW facing porch for a half hour of sun.

The weather was also great for philosophizing, and I did a lot
of it during the afternoon.  But my ideas are still disordered
and it will take a day or two to get them organized.

While I'm organizing my thoughts, I'd best shut down the fractal
shoppe and call it a day.  Until next time, take care, and how
would you like a series of FOTD's on the fourth and higher
dimensions?


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

One_and_Three      { ; time=0:09:06.40 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.01922126030193131/+0.31616619714983010\
  /177601.2/1/112.499 params=1/1/3/3/0/0 float=y
  maxiter=1400 bailout=25 inside=0 logmap=122
  symmetry=none periodicity=10
  colors=000LDTLDT<2>OJaPLdPPgOUj<3>KkaJp_JtY<3>SdaUab\
  XYc<3>dJg<3>oQm<3>hWZfYWdZS<3>ZdE<5>QQ9ON8NL7<3>HB4K\
  96<3>K2CK1DK3H<3>K8UK9XKA_IBb<3>3Go0Hr5Kn<7>afMehJik\
  F<3>yv1<3>Xe8Qa9JYBCUC<9>9OM9NN9NO<3>8LS<3>ahdingpsj\
  <5>iw`gwZfxX<3>bzR<3>XsfWrjaW3<9>lVImVJnVL<3>rVQQyY<\
  5>De`Aaa8Za<3>0Mc<9>9IV9HUAHT<3>DGQT9Gg36<3>crp<3>Po\
  _LnWInSEmOBmKKhYTcpaZq<3>T`uRavPawNaxPby<3>hdzmdzrdz\
  wazz_z<4>zQz<3>zWzwXz<2>h`zcbz`czZdz<2>bhz<3>PdzMczJ\
  cz<3>H_zHZzGYz<2>FVzFVzHXz<8>VmzR5z
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

One_and_Three      { ; time=0:09:06.40 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.01922126030193131/+0.31616619714983010\
  /177601.2/1/112.499 params=1/1/3/3/0/0 float=y
  maxiter=1400 bailout=25 inside=0 logmap=122
  symmetry=none periodicity=10
  colors=000LDTLDT<2>OJaPLdPPgOUj<3>KkaJp_JtY<3>SdaUab\
  XYc<3>dJg<3>oQm<3>hWZfYWdZS<3>ZdE<5>QQ9ON8NL7<3>HB4K\
  96<3>K2CK1DK3H<3>K8UK9XKA_IBb<3>3Go0Hr5Kn<7>afMehJik\
  F<3>yv1<3>Xe8Qa9JYBCUC<9>9OM9NN9NO<3>8LS<3>ahdingpsj\
  <5>iw`gwZfxX<3>bzR<3>XsfWrjaW3<9>lVImVJnVL<3>rVQQyY<\
  5>De`Aaa8Za<3>0Mc<9>9IV9HUAHT<3>DGQT9Gg36<3>crp<3>Po\
  _LnWInSEmOBmKKhYTcpaZq<3>T`uRavPawNaxPby<3>hdzmdzrdz\
  wazz_z<4>zQz<3>zWzwXz<2>h`zcbz`czZdz<2>bhz<3>PdzMczJ\
  cz<3>H_zHZzGYz<2>FVzFVzHXz<8>VmzR5z
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 14-01-00 (What is Wrong?) (c)
Date: 13 Jan 2000 23:39:35 -0500 (EST)


FOTD -- January 14, 2000

Fractal enthusiasts and visionaries:

When I first saw today's fractal, I noticed something strange
about it.  It didn't look quite right.  Then I realized that
something is seriously wrong with the midget in today's picture.

The problem is that the midget has six elements around it in the
outer ring and 12 elements in the inner ring.  This would not be
strange were it not for the fact that the midget is a quadratic
midget, and around all quadratic midgets the elements are
arranged in rings consisting of increasing powers of two.

In my experience, this is unheard of.  All baby brots of order-2
have 2, 4, 8, 16, etc, elements surrounding them, the number
doubling to infinity as the edge of the midget is approached.

The formula behind today's fractal subtracts 0.4Z^(2.5) from Z
before adding C.  My suspicion is that the six elements are
actually 6.25 elements -- a part of the series 2.5, 6.25,
15.625 etc., which would be implied by the Z^2.5 part of the
formula.  But if this is so, where are the discontinuities that
would be expected from a fractional power of Z?  And that inner
ring has 12, not 15.625 elements.

Being a mathematical genius of only modest proportions, I have
no idea of what is going on in this picture, but whatever it is,
it makes a curious picture which is interesting for its
mathematical more than than its artistic merit.

I have named the picture "What is Wrong?" since that is the
question I asked myself when I counted the six obvious elements
around the midget.  Luckily, it will not take too long to view
the problem.  The parameter file calculates in 5-1/2 minutes and
the image downloads in less than half the time.  That image can
be found posted to:

          <alt.binaries.pictures.fractals>

and to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was sunny and warm in the morning, with a
noontime temperature of 60F (15.5C), which drew the fractal cats
outdoors.  But it turned sharply colder in the afternoon, and
now at 10:30pm, the fractal thermometer reads 27.8F (-2.3C), and
the cats are snug by their radiator.

Unfortunately, the philosophy remains disorganized, but I'll try
again tomorrow to get it into presentable shape.  If I don't get
my philosophy organized, I'll tell about a four-dimensional man
who has the task of painting the walls of his four-dimensional
room.  Until then, take care, and if you're north of the 30th
parallel, keep warm.  Otherwise, don't lose your cool.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

What_is_Wrong      { ; time=0:05:28.78, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+2.09756323075028500/+0.00001748165762026\
  /446531/1/9.999 params=-0.4/2.5/1/1/0/0 float=y
  maxiter=1500 bailout=25 inside=0 logmap=96
  symmetry=none periodicity=10
  colors=000565<7>C4CD4DE3D<2>H3GI2HH2IH2JH2J<10>IFUIG\
  VIIW<2>ILZIM_INZIMZGLW<2>DCMC9GB77<6>L`KNdMOiN<3>TyU\
  <8>EqaCpaAob<3>4le7kfIjfMjf<3>VgfXffZfe<7>n`Yp`Xr_W<\
  2>xYTzYSz_Qz`OzaQ<2>qdSneSkfUhgSehR<5>YnHXoFWpE<2>Ts\
  9St8RsB<13>NlkNlmNkp<2>MjxMjzNiv<6>Pi_PiWPiT<2>QiJQi\
  GRgH<9>ZTI_SI`QIaPIbNIbMI<17>kMfkMhlMi<2>mMmmMnlLl<3\
  >iIpiIqhJr<3>fNveOwdPxdQycRz<4>`_z`az_cz<3>ZkzZmzYoz\
  YqzYszXuzXvz<15>WwzWwzWwz<2>WwzWwzYwz<8>gwz
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

What_is_Wrong      { ; time=0:05:28.78, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+2.09756323075028500/+0.00001748165762026\
  /446531/1/9.999 params=-0.4/2.5/1/1/0/0 float=y
  maxiter=1500 bailout=25 inside=0 logmap=96
  symmetry=none periodicity=10
  colors=000565<7>C4CD4DE3D<2>H3GI2HH2IH2JH2J<10>IFUIG\
  VIIW<2>ILZIM_INZIMZGLW<2>DCMC9GB77<6>L`KNdMOiN<3>TyU\
  <8>EqaCpaAob<3>4le7kfIjfMjf<3>VgfXffZfe<7>n`Yp`Xr_W<\
  2>xYTzYSz_Qz`OzaQ<2>qdSneSkfUhgSehR<5>YnHXoFWpE<2>Ts\
  9St8RsB<13>NlkNlmNkp<2>MjxMjzNiv<6>Pi_PiWPiT<2>QiJQi\
  GRgH<9>ZTI_SI`QIaPIbNIbMI<17>kMfkMhlMi<2>mMmmMnlLl<3\
  >iIpiIqhJr<3>fNveOwdPxdQycRz<4>`_z`az_cz<3>ZkzZmzYoz\
  YqzYszXuzXvz<15>WwzWwzWwz<2>WwzWwzYwz<8>gwz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "Tony \(Anthony\) Hanmer" <[e-mail]>
Subject: (fractint) Colour Map Recognition
Date: 14 Jan 2000 11:48:16 GET

Greetings,
I'm wondering if there is any automated way in (or outside) Fractint of
scanning fractal gifs and comparing their colour maps to existing ones - for
either an identical match or the same map but rotated.  Maybe this sounds
lazy, but my collection of colour maps is about 1200 in size...  I know that
one can save colour maps as text and manually read them in a text editor -
I'm thinking of something much faster.  Any ideas?

Tony Hanmer
Tbilisi, Republic of Georgia
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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-------------------------------------------------------------------------------

From: "Martin Rodenberg" <[e-mail]>
Subject: (fractint) Speed: No cache, no fun (was: Pentium 700)
Date: 14 Jan 2000 10:54:31 +0100

Hello,
Since a few month I've been lurking around - now it's time to
write a few lines to all you Fractint lovers. It's always hard to
wait for a fractal to be calculated - but if the machine is fast
and the fractal is calculated in a few seconds - I tend to
increase the resolution of the final image until it is hard to wait
for the fractal again.
Hey, I'm very happy about Fractint 20.0 and the large ram/disk
video modes! It is fun to create those giant images *at once* to
have the full resolution for my simple & cheap color printer.

fr_clock           { ; Martin Rodenberg [e-mail]
  reset=2000 type=formula formulafile=fractint.frm
  formulaname=jm_25 function=sinh/log passes=1
  center-mag=+1.01305489025157200/-0.0034013417216\
  4564/124673.3/1.1454/52.778/9.107 params=900/300
  float=y maxiter=900000 colors=@volcano.map
  }

 I've started to use Fractint (that good old 18.1) on a 386/40.
Three years later I bought a P166 machine. The P166 was
about 20-22 times faster than the old 386. A few weeks ago
the P166 was three years old - now I'm sitting here with this
'modern' machine, a P III 500. It is only 8-9 times faster than
the P166. It doesn't like 'old' 16-Bit DOS programs... ;-)

Gregory McClure wrote:
> 3)  Processor / cache:  Now we get to some speed bumps.

Indeed!
The above .PAR ran several times from (clean) PLAIN DOS:

Today I've played a little with my machine. The Clock of my board
may be set to different speeds by BIOS. I've tried this and
calculated an index [Pixel per second per 100 MHz CPU].

Those of you who like benchmarking will be interested in the
following table:

CPU          FSB          PCI          F3 (320*200)        SF4  (640*400)
333          66.8         33.4        6:03.23 [52.9]        25:53.85 [49.5]
375          75.0         37.5        5:31.31 [51.5]        23:37.25 [48.2]
500         100.3         33.4        4:02.00 [52.9]        17:15.75 [49.4]
515         103.0         34.3        4:01.23 [51.5]        17:11.99 [48.2]
525         105.0         35.0        3:56.84 [51.5]        16:52.28 [48.2]
560         112.0         37.3        3:41.84 [51.5]        15:49.00 [48.2]
500         100.3         33.4     2:24:34.27[1.48]      - {*1}
500         100.3         33.4      4:08.10 [51.6]     17:40.99 [48.2]{*2}

{*1}= CPU L1 and L2 Cache disabled
{*2}= CPU L1 Cache enabled, L2 Cache disabled

To wait for an Image nearly 2 1/2 hours at 320*200 gives back the old
adventure-feeling - those 386/40-times...

On the other hand... one of these extreme expensive refrigerators running
an Athlon at 1 Ghz will perhaps spend about only 8 Minutes or
less for SF4...

Greetings, Moon





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-------------------------------------------------------------------------------

From: "Rupert Millard" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, I'll write a program
Date: 14 Jan 2000 16:29:22 GMT

>From: "Tony \(Anthony\) Hanmer" <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) Colour Map Recognition
>Date: Fri, 14 Jan 2000 11:48:16 GET
>
>Greetings,
>I'm wondering if there is any automated way in (or outside) Fractint of
>scanning fractal gifs and comparing their colour maps to existing ones -
>for
>either an identical match or the same map but rotated.  Maybe this sounds
>lazy, but my collection of colour maps is about 1200 in size...  I know
>that
>one can save colour maps as text and manually read them in a text editor -
>I'm thinking of something much faster.  Any ideas?
>
>Tony Hanmer
>Tbilisi, Republic of Georgia
>______________________________________________________
>Get Your Private, Free Email at http://www.hotmail.com
>
>
>--------------------------------------------------------------
>Thanks for using Fractint, The Fractals and Fractint Discussion List
>Post Message:   [e-mail]
>Get Commands:   [e-mail] "help"
>Administrator:  [e-mail]
>Unsubscribe:    [e-mail] "unsubscribe fractint"

Hi Tony (and everyone else),
                            Over the weekend, I'll see if I can write a
program to do just that, perhaps a program like orgform would be handy, I'm
sure lots of my maps are duplicates.
                        From,
                            Rupert
______________________________________________________
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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) Colour Map Recognition, I'll write a program
Date: 14 Jan 2000 11:56:21 EST

In a message dated 1/14/2000 11:31:20 AM Eastern Standard Time,
[e-mail] writes:

<<  Over the weekend, I'll see if I can write a  program to do just that,
perhaps a program like orgform would be handy, I'm  sure lots of my maps are
duplicates. >>

If you do so, I'd love a copy of the program.

--Bob Carr--(Ocala, FL)

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-------------------------------------------------------------------------------

From: "Angela Wilczynski" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition
Date: 14 Jan 2000 08:14:32 -0800

Tony....

If you have UltraFractal, you can open any number of fractint maps in UF to compare
them and will see them in UF's gradient editor.  It's very easy to pick out
duplicates or near-duplicates.

Angela aka wizzle

"Tony (Anthony) Hanmer" wrote:
>
> Greetings,
> I'm wondering if there is any automated way in (or outside) Fractint of
> scanning fractal gifs and comparing their colour maps to existing ones - for
> either an identical match or the same map but rotated.  Maybe this sounds
> lazy, but my collection of colour maps is about 1200 in size...  I know that
> one can save colour maps as text and manually read them in a text editor -
> I'm thinking of something much faster.  Any ideas?
>
> Tony Hanmer
> Tbilisi, Republic of Georgia

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) New variation on an old theme...
Date: 14 Jan 2000 09:47:47 -0800

=A92000 Greg McClure

I was first introduced to fractals by the Scientific American article
back in 1986.  I wrote a simple VMS Basic program to produce the
set on my graphics terminal.  After hours of play with the standard
formulas using the square function, I decided to try SIN.  It was then
on to writing a program that could use the clustering capability of VMS
to add multiple CPUs to the task.  Shortly after that effort, I learned
about Fractint and stopped work on my VMS programs.

Many of the direct variations of the Mandelbrot/Julia sets hardcoded
in Fractint have the basic forms:

[the function f(z(n)) takes on a variety of forms, some with and some
without corresponding Julia functions]

Mandelbrot:                         Julia:
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D               =
  =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
z(0)   =3D p1 + pixel                 z(0)   =3D pixel
z(n+1) =3D f(z(n))                    z(n+1) =3D p1*f(z(n))

[p1 is perturbation]                [p1 is Mandelbrot point]

The problem I encountered was: pixel is not added into each Mandelbrot
iteration step, therefore I could not reproduce any of the SIN plots I
had created with my VMS Basic program.  Then I learned about using
FORMULAS, and I was able to reproduce them again.

( Special note:
  Fractint V18.0 introduced the (fn||fn) formulas.  These functions
  DO use pixel and p1; by setting the function shift value to 0 and
  second function to sin (first function is effectively defeated this
  way) I was FINALLY able to produce my original SIN fractal from my
  VMS fractal days!  However, the first iteration is not identical to
  the standard Mandel, so the colors are assigned differently.  Set
  the function shift value to 0 and second function to sqr; you will
  see the difference.  Because of this and because the GregsMandel and
  GregsJulia contain multiplication factors (P2) I have kept the ~M1
  formulas in the list.  For P2 =3D (1+0i), the (fn||fn) fractals are =
much
  faster!. )

Over the years I have created the GregsMan series of formulas, which
use the following basic forms:

Mandelbrot:                         Julia:
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
            =
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D
z(0)   =3D p1 + pixel                 z(0)   =3D pixel + f(z(pixel)) + =
p1
z(n+1) =3D f(z(n)) + pixel            z(n+1) =3D f(z(n)) + p1

Note the addition of pixel in the first iteration for the Mandelbrot
series and the addition of one cycle in the first iteration for the
Julia series.  This reproduces the expected plots of the standard
Mandelbrot and Julia engines in Fractint.

Because my Mandelbrot formulas add in the pixel in each repetition,
and my Julia formulas similarly add in p1, the standard Mandelbrot
and Julia set can be reproduced in many of the formulas (as described
in each formula, sometimes several different ways).  All Mandelbrot
formulas have corresponding Julia set formulas.

The last parameter entry is a combination of bailout value and bailout
type.  The real portion is the bailout value, the imaginary portion is
the bailout type (0 =3D MOD, 1 =3D REAL, 2 =3D IMAG, 3 =3D OR, 4 =3D =
AND,
5 =3D MANH, and 6 =3D MANR)

These formulas are copyrighted.  I figured, if others can copyright
formulas and parameter files on a copyrighted freeware program, why
can't I? :-)  Actually, you can use or modify any of these formula or
parameter files as long as the original formula copyright and
authorship are mentioned (i.e. you can treat this just like Fractint
itself).

The file GREGSMAN.PAR is a sample set of parameters using the
GREGSMAN.FRM formulas.  Most of these are translations of my SIN
fractals from VMS days.

The file GMANTEST.PAR is my test set of parameters to show that I can
reproduce the Mandelbrot and Julia sets with the GregsMan.FRM formulas,
and that they look identical to the MANDEL and JULIA fractals for
consistency.  I included the time to create each set (compare to 2.3
sec for standard Mandel on my Pentium 166Mhz, floating point on, 1024 x
768 resolution, 1023 iterations).

I always use p1 for the perturbation offset (Mandel-type) and for the
Mandel point (Julia-type).  I always use p3 for the bailout value and
type.  So only p2 is available as a modification parameter for the
fractal formula iterations.  I have tried to take advantage of math
equivalencies to reduce the number of formulas in a particular formula
series, for example a (p2*fn1 + fn2) formula can be reproduced by
switching fn1 and fn2 and using the (fn1 + p2*fn2) formula, and
sqr(p2*fn1) is the same as p2*p2*sqr(fn1).  Someday, when additional
parameter values are added to the formula function (p4, p5, etc) I can
reduce the number of formulas!  If that ever happens, I will come out
with a new reduced set of equivalent formulas.  However, these formulas
have an uncanny ability to multiply in my head as I consider different
configuration sets, so that reduction will be short-lived.  I am
already working on 3- and 4-function sets using the same basic format,
the shear number of combinations is staggering.

Agreed, with the advent of Fractint V20.0, I SHOULD be able to reduce
the number of formulas in half, but there is a bug in this version that
causes several of these formulas, when combined, to produce zero color
blank screens instead of the expected fractal images.  I have tried
the suggested command line parameter DEBUG=3D90, some formulas STILL
don't work.  So I am releasing this set until the bug is fixed.  When
this bug is fixed, I will release the revised set of formulas taking
advantage of the ismand=3Dxxx parameter.

The specific iteration formulas in GregsMan.FRM are:

All Mandel formulas: z(0) =3D p1 + Pixel
All Julia formulas:  z(-1) =3D Pixel
Julia formulas: replace "Mandel" with "Julia", and "pixel" with "p1"
                z(0) is first be calc'd by applying formula to z(-1)

1- and 2-function formulas: (GREGSMAN.FRM)

 Standard function series:
  GregsMandelM1:  z(n+1) =3D p2*fn1(z) + pixel

  GregsMandelM2:  z(n+1) =3D p2*[fn1(z)+fn2(z)] + pixel
  GregsMandelM3:  z(n+1) =3D fn1(z) + p2*fn2(z) + pixel

 Power function series:
  GregsMandelP1:  z(n+1) =3D fn1(z)^p2 + pixel

  GregsMandelP2:  z(n+1) =3D [fn1(z) + fn2(z)]^p2 + pixel
  GregsMandelP3:  z(n+1) =3D fn1(z) + fn2(z)^p2 + pixel

  GregsMandelP4:  z(n+1) =3D fn1(z)^p2 + fn2(z)^p2 + pixel

 Squared function series:
  GregsMandelS1:  z(n+1) =3D sqr[p2*fn1(z)] + pixel

  GregsMandelS2:  z(n+1) =3D sqr{p2*[fn1(z) + fn2(z)]} + pixel
  GregsMandelS3:  z(n+1) =3D sqr[fn1(z) + p2*fn2(z)] + pixel
  GregsMandelS4:  z(n+1) =3D p2*{fn1(z) + sqr[fn2(z)]} + pixel
  GregsMandelS5:  z(n+1) =3D p2*fn1(z) + sqr[fn2(z)] + pixel
  GregsMandelS6:  z(n+1) =3D fn1(z) + p2*sqr[fn2(z)] + pixel

  GregsMandelS7:  z(n+1) =3D sqr[p2*fn1(z)] + sqr[p2*fn2(z)] + pixel
  GregsMandelS8:  z(n+1) =3D sqr[fn1(z)] + sqr[p2*fn2(z)] + pixel

 Exponent function series:
  GregsMandelE1:  z(n+1) =3D p2*e^fn1(z) + pixel
  GregsMandelE2:  z(n+1) =3D e^[p2*fn1(z)] + pixel

  GregsMandelE3:  z(n+1) =3D e^{p2*[fn1(z) + fn2(z)]} + pixel
  GregsMandelE4:  z(n+1) =3D e^[fn1(z) + p2*fn2(z)] + pixel
  GregsMandelE5:  z(n+1) =3D fn1(z) + e^[p2*fn2(z)] + pixel
  GregsMandelE6:  z(n+1) =3D p2*{e^[fn1(z) + fn2(z)]} + pixel
  GregsMandelE7:  z(n+1) =3D p2*[fn1(z) + e^fn2(z)] + pixel
  GregsMandelE8:  z(n+1) =3D p2*fn1(z) + e^[fn2(z)] + pixel
  GregsMandelE9:  z(n+1) =3D fn1(z) + p2*e^fn2(z) + pixel

  GregsMandelEA:  z(n+1) =3D p2*[e^fn1(z) + e^fn2(z)] + pixel
  GregsMandelEB:  z(n+1) =3D e^fn1(p2*z) + e^fn2(p2*z) + pixel
  GregsMandelEC:  z(n+1) =3D e^[fn1(z)] + e^[p2*fn2(z)] + pixel
  GregsMandelED:  z(n+1) =3D e^fn1(z) + p2*e^fn2(z) + pixel

 Logarithm function series:
  GregsMandelL1:  z(n+1) =3D p2*ln[fn1(z)] + pixel
  GregsMandelL2:  z(n+1) =3D ln[p2*fn1(z)] + pixel

  GregsMandelL3:  z(n+1) =3D ln{p2*[fn1(z) + fn2(z)]} + pixel
  GregsMandelL4:  z(n+1) =3D ln[fn1(z) + p2*fn2(z)] + pixel
  GregsMandelL5:  z(n+1) =3D fn1(z) + ln[p2*fn2(z)] + pixel
  GregsMandelL6:  z(n+1) =3D p2*{ln[fn1(z) + fn2(z)]} + pixel
  GregsMandelL7:  z(n+1) =3D p2*{fn1(z) + ln[fn2(z)]} + pixel
  GregsMandelL8:  z(n+1) =3D p2*fn1(z) + ln[fn2(z)] + pixel
  GregsMandelL9:  z(n+1) =3D fn1(z) + p2*ln[fn2(z)] + pixel

  GregsMandelLA:  z(n+1) =3D p2*{ln[fn1(z)] + ln[fn2(z)]} + pixel
  GregsMandelLB:  z(n+1) =3D ln[fn1(p2*z)] + ln[fn2(p2*z)] + pixel
  GregsMandelLC:  z(n+1) =3D ln[fn1(z)] + ln[p2*fn2(z)] + pixel
  GregsMandelLD:  z(n+1) =3D ln[fn1(z)] + p2*ln[fn2(z)] + pixel

 Function of function series:
  GregsMandelF1:  z(n+1) =3D p2*fn1[fn2(z)] + pixel
  GregsMandelF2:  z(n+1) =3D fn1[p2*fn2(z)] + pixel
  GregsMandelF3:  z(n+1) =3D fn1[fn2(z)^p2] + pixel
  GregsMandelF4:  z(n+1) =3D fn1[fn2(z)]^p2 + pixel

 Miscellaneous function series:
  GregsMandelZ1:  z(n+1) =3D fn1(z)^fn2(z) + fn3(z)^p2 + pixel
  GregsMandelZ2:  z(n+1) =3D fn1(z)^fn2(-z) + fn3(z)^p2 + pixel
  GregsMandelZ3:  z(n+1) =3D fn1(z)^p2 + fn2(z)^(-p2) + pixel
  GregsMandelZ4:  z(n+1) =3D {fn1(z) || fn2(z) || fn3(z)} + pixel
  GregsMandelZ5:  z(n+1) =3D fn1{fn2(z) || fn3(z) || fn4(z)} + pixel

Enjoy,

[e-mail]

P.S.  The .PAR and .FRM files follow in seperate messages.

  The Kwisatz Haderach,
=DF  Gregory J. McClure

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 6 OF GRESGMAN.FRM (L-series Mandelbrot style)
Date: 14 Jan 2000 10:16:06 -0800

GregsMandelL1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D  0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * log(fn1(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D  0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(p2 * fn1(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(p2 * (fn1(z) + fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(fn1(z) + p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL5 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D fn1(z) + log(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL6 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * log(fn1(z) + fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL7 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * (fn1(z) + log(fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL8 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * fn1(z) + log(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelL9 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D fn1(z) + p2 * log(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelLA {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(p2 * fn1(z)) + log(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelLB {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * (log(fn1(z)) + log(fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelLC {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(fn1(z)) + log(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelLD {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D log(fn1(z)) + p2 * log(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 7 OF GREGSMAN.FRM (L-series, Julia style)
Date: 14 Jan 2000 10:17:19 -0800

GregsJuliaL1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * log(fn1(z)) + p1:
   z =3D p2 * log(fn1(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(p2 * fn1(z)) + p1:
   z =3D log(p2 * fn1(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(p2 * (fn1(z) + fn2(z))) + p1:
   z =3D log(p2 * (fn1(z) + fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(fn1(z) + p2 * fn2(z)) + p1:
   z =3D log(fn1(z) + p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL5 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D fn1(z) + log(p2 * fn2(z)) + p1:
   z =3D fn1(z) + log(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL6 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * log(fn1(z) + fn2(z)) + p1:
   z =3D p2 * log(fn1(z) + fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL7 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * (fn1(z) + log(fn2(z))) + p1:
   z =3D p2 * (fn1(z) + log(fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL8 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * fn1(z) + log(fn2(z)) + p1:
   z =3D p2 * fn1(z) + log(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaL9 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D fn1(z) + p2 * log(fn2(z)) + p1:
   z =3D fn1(z) + p2 * log(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaLA {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(p2 * fn1(z)) + log(p2 * fn2(z)) + p1:
   z =3D log(p2 * fn1(z)) + log(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaLB {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * (log(fn1(z)) + log(fn2(z))) + p1:
   z =3D p2 * (log(fn1(z)) + log(fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaLC {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(fn1(z)) + log(p2 * fn2(z)) + p1:
   z =3D log(fn1(z)) + log(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaLD {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D log(fn1(z)) + p2 * log(fn2(z)) + p1:
   z =3D log(fn1(z)) + p2 * log(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"


-------------------------------------------------------------------------------

From: "Mitchell Berger" <[e-mail]>
Subject: Re: (fractint) trivia
Date: 14 Jan 2000 17:58:40 EST

Absolutely delicious hard cookies great for dunking!


>From: Tom Conally <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) trivia
>Date: Sat, 08 Jan 2000 08:53:13 -0500
>
>Just a bit of trivia- I was searching bread recipes and found this:
>Mandelbrot - (Almond Bread)
>http://sunsite.auc.dk/recipes/english/o0340658.html
>
>Just caught me by surprise.
>
>Tom Conally
>In every boomerang there is a perfect throw.
>Your life, Grasshopper, is to practice  till you find that throw
>and become one with that boomerang!
>__________________________________________
>Boomerangs        http://fly.to/boomerangs
>Internet Index       http://www.netpath.net/~conally/
>
>
>
>--------------------------------------------------------------
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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) GREGSMAN.PAR
Date: 14 Jan 2000 10:06:29 -0800

NeedleSharp        { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3Db
  center-mag=3D3.14159/0.5/1.5 params=3D0/0/1/0/100/0 float=3Dy =
maxiter=3D1023
  colors=[e-mail]=20
  }

CosineCaves        { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dcos passes=3Db =
center-mag=3D0/0/0.3
  params=3D0/0/0/1/100/0 float=3Dy maxiter=3D1023 colors=[e-mail]=20
  }

Stalags            { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dcos passes=3Db =
center-mag=3D0/0/1.5
  params=3D0/0/0/1/100/0 float=3Dy maxiter=3D1023 colors=[e-mail]=20
  }

XMarksTheSpot      { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM3 function=3Dsin/sinh passes=3Dt
  center-mag=3D0/0/2.2 params=3D0/0/1/0/100/0 float=3Dy maxiter=3D1023
  colors=[e-mail]=20
  }

HolesHolesHoles    { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM3 function=3Drecip/ident =
corners=3D-2/2/-1.5/1.5
  params=3D0/0/0/1/2/0 float=3Dy
  =
colors=3D000007<13>00z<15>zzz<15>0z0<15>000<15>0z0<15>zzz<15>z00<15>000<=
15\
  >z00<15>zzz<15>z0z<15>000<15>z0z<14>zzz<14>00y<15>000000003=20
  }

Bacteria           { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM3 function=3Dcotanh/ident =
corners=3D-2/2/-1.5/1.5
  params=3D0/0/0/1/2/0 float=3Dy colors=[e-mail]=20
  }

TheBodySnatchers   { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM3 function=3Drecip/tan =
corners=3D-2/2/-1.5/1.5
  params=3D0/0/0/1/2/0 float=3Dy
  =
colors=3D000007<13>00z<15>zzz<15>0z0<15>000<15>0z0<15>zzz<15>z00<15>000<=
15\
  >z00<15>zzz<15>z0z<15>000<15>z0z<14>zzz<14>00y<15>000000003=20
  }

Pteradactyl        { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM3 function=3Dcosxx/tanh
  center-mag=3D1.19904e-014/7.54952e-015/0.666667 params=3D0/0/0/1/2/0
  float=3Dy colors=[e-mail]=20
  }

Sharps             { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3Dt
  corners=3D-3.353384/3.353384/-2.515038/2.515038 params=3D0/0/0/1/2/0
  float=3Dy maxiter=3D1500 colors=[e-mail]=20
  }

DeformedPropeller  { ; =A92000 Greg McClure
                     ; ... or an ameba
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  corners=3D-3.316301/3.316301/-2.487226/2.487226 =
params=3D0/0/-0.5/1/2/0
  float=3Dy maxiter=3D2500 colors=[e-mail]=20
  }

MoreTeeth          { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  corners=3D-1.764272/1.764272/-1.323204/1.323204 params=3D0/0/-1/0/2/0
  float=3Dy maxiter=3D2500 colors=[e-mail]=20
  }

HalfBone           { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dcos
  corners=3D-3.752144/3.752144/-2.814108/2.814108 params=3D0/0/1/0/2/0
  float=3Dy maxiter=3D2500 colors=[e-mail]=20
  }

Crabby             { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dcos
  corners=3D-2.666667/2.666667/-2.5/1.5 params=3D0/0/0/1/4/0 float=3Dy
  maxiter=3D2500 colors=[e-mail]=20
  }

BentForest         { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM1 function=3Dsin passes=3Dt
  center-mag=3D4.44089e-016/3.88578e-014/0.503851 =
params=3D0/1/1/0/100000/0
  float=3Dy maxiter=3D100
  =
colors=3D000007<13>00z<15>zzz<15>0z0<15>000<15>0z0<15>zzz<15>z00<15>000<=
15\
  >z00<15>zzz<15>z0z<15>000<15>z0z<14>zzz<14>00y<15>000000003=20
  }

Flowers            { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM3 function=3Dcotanh/ident passes=3Dt
  corners=3D-2/2/-1.5/1.5 params=3D0/0/0/1/6/0 float=3Dy
  =
colors=3DCCC00NGCG<19>sCs<20>ECsCCsCEs<19>CqsCssCsq<19>CsECsCEsE<19>qsqs=
ss\
  =
ssq<19>ssEssCsqC<19>sECsCCqCC<21>ACCCCC<21>sCs<20>ECsCCsCEs<19>CqsCssCsq=
\
  <9>CsY=20
  }

FloralExplosion    { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  center-mag=3D+2.04465566172460300/+1.08238157000345400/242.7522
  params=3D0/0/1/0/8/0 float=3Dy maxiter=3D300
  =
colors=3D000006<13>00y<15>zzy<15>0z0<15>000<15>0z03z2<14>zzy<15>z00<15>0=
00\
  <15>z00z32<14>zzy<15>z0y<15>000302<14>z0y<14>zzy<14>00x<15>000000002
  }

FireworksTwirlers  { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  center-mag=3D0.7533/0.317449/39.7435 params=3D0/0/0/1/8/0 float=3Dy
  maxiter=3D300 colors=[e-mail]=20
  }

ColorCircles       { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsJuliaM1 function=3Dsin
  center-mag=3D-0.995305/-0.726514/1.71821 params=3D-1/1.25/1/0/64/0
  float=3Dy maxiter=3D1500
  =
colors=3D000<15>z00<15>000<15>zV0<15>000<15>zz0<15>000<15>0z0<15>000<15>=
0z\
  z<15>000<15>zzz<15>000<15>z0z<15>000<15>z00<14>000=20
  }

Curtains           { ; =A92000 Greg McClure
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM3 function=3Dsin/cosxx
  center-mag=3D3.11502/1.40808/0.5681818 params=3D0/0/0/1/100/0 =
float=3Dy
  maxiter=3D100 colors=[e-mail]=20
  }

FlowerBlownUp      { ; =A92000 Greg McClure
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  center-mag=3D+1.73634095796676300/+1.21011864406779700/905.7971
  params=3D0/0/1/0/100/0 float=3Dy maxiter=3D1023
  =
colors=3D000<15>z00<15>100310<14>zV0<15>110330<14>zz0<15>010030<14>0z0<1=
5>\
  =
011033<14>0zz<15>001003<14>00z<14>004101303<14>z0z<15>111333<14>zzz<14>4=
\
  44
  }

FractalGlue        { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  corners=3D-0.128/0.128/-0.096/0.096 params=3D0/0/1/0.2/2/0 float=3Dy
  maxiter=3D2500 colors=[e-mail]=20
  }

FractalGlueCloseup { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin
  corners=3D-0.0128/0.0128/-0.0096/0.0096 params=3D0/0/1/0.2/2/0 =
float=3Dy
  maxiter=3D500 colors=[e-mail]=20
  }

YouNameIt          { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3Dt
  center-mag=3D3.87104/0.731484/7.74311 params=3D0/0/1/0.2/8/0 =
float=3Dy
  maxiter=3D500 colors=[e-mail]=20
  }

Digestion          { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3Db =
corners=3D-4/4/-3/3
  params=3D0/0/2/1/100000/0 float=3Dy maxiter=3D1023 =
colors=[e-mail]=20
  }

Volcanos           { ; =A92000 Greg McClure
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelS3 function=3Dsin/cosxx center-mag=3D0/0/0.2
  params=3D0/0/0/1/100/0 float=3Dy maxiter=3D100 colors=[e-mail] =

  }

DecompX            { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelP1 function=3Dconj center-mag=3D0/0/0.6
  params=3D0/0/3/0/100/0 float=3Dy decomp=3D256 colors=[e-mail]=20
  }

BlackLight         { ; =A92000 Greg McClure
  reset=3D1920 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelP1 function=3Drecip corners=3D-2/2/-1.5/1.5
  params=3D0/0/-13/0/100/0 float=3Dy decomp=3D256 colors=[e-mail]=20
  }

ItsRightHere       {
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3Dt
  center-mag=3D+0.00000000000000000/+0.00000000000000000/100
  params=3D0/0/0/1.1/100/0 float=3Dy maxiter=3D1023 =
colors=[e-mail]=20
  }

OrMaybeHere        {
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dsin passes=3D2
  center-mag=3D-1.11022e-016/8.32667e-017/6.666667
  params=3D0/0/0.75/0.75/100/0 float=3Dy maxiter=3D1023
  =
colors=3D000000200400600A00D00H00M00Q00<2>f00l00s00z00z00<3>z30z40z60<2>=
zD\
  =
0zF0zI0zL0<2>zV0zV0<2>zX0zY0z_0z`0<2>zg0zj0zm0zp0zs0zv0zz0zz0<3>sz0oz0lz=
\
  =
0hz0cz0_z0<2>Jz0Dz06z00z00z00y00w20u40s60oA0lD0hH0cM0_Q<2>0Jf0Dl06s00z00=
\
  =
z00z20z40z60zA0zD0zH0zM0zQ0z<2>f0zl0zs0zz0zz0zz0zz2zz4zz6zzAzzDzzHzzMzzQ=
\
  =
z<2>zfzzlzzszzzzzzz<3>sssooolllhhhccc___<2>JJJDDD666000000000222444666AA=
\
  =
ADDDHHHMMMQQQ<2>ffflllssszzzzzz<3>zszzozzlzzhzzczz_z<2>zJzzDzz6zz0zz0z<3=
\
  =
>s0zo0zl0zh0zc0z_0z<2>J0zD0z60z00z00z00y02w04u06s0Ao0Dl0Hh0Mc0Q_<2>0fJ0l=
\
  =
D0s60z00z00z02z04z06z0Az0Dz0Hz0Mz0Qz0<2>fz0lz0sz0zz0<4>zv0zu0zs0<2>zl0zj=
\
  =
0zg0zd0<2>zW0<3>zT0zS0zQ0zP0<2>zI0zF0zC0z90z60z30z00z00y00w00u00<2>j00f0=
\
  0a00W00R00<3>000000
  }

FractalRainbow     {
  reset=3D1960 type=3Dformula formulafile=3Dgregsman.frm
  formulaname=3DGregsMandelM1 function=3Dcosxx passes=3D3
  center-mag=3D1.23949/-0.367666/10.41667 params=3D0/0/0.5/0.5/100/0
  float=3Dy maxiter=3D1023 colors=[e-mail]=20
  }

Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
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Administrator:  [e-mail]
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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART1 OF GREGSMAN.FRM (M-series)
Date: 14 Jan 2000 10:10:49 -0800

GregsMandelM1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1 =3D sqr =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * fn1(z) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelM2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * (fn1(z) + fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelM3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 0/0, p3 =3D 2/0, fn1 =3D sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z) + p2 * fn2(z) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaM1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1 =3D sqr =3D standard Julia for point p1
  z =3D Pixel, z =3D p2 * fn1(z) + p1:
   z =3D p2 * fn1(z) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaM2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 0/0, p3 =3D 2/0, fn1 =3D sqr/zero =3D standard Julia for point =
p1
; p2 =3D 1/0, p3 =3D 2/0, fn1 =3D zero/sqr =3D standard Julia for point =
p1
  z =3D Pixel, z =3D p2 * (fn1(z) + fn2(z)) + p1:
   z =3D p2 * (fn1(z) + fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaM3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 0/0, p3 =3D 2/0, fn1 =3D sqr =3D standard Julia for point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1 =3D zero/sqr =3D standard Julia for point =
p1
  z =3D Pixel, z =3D fn1(z) + p2 * fn2(z) + p1:
   z =3D fn1(z) + p2 * fn2(z) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 2 OF GREGSMAN.FRM (P-series)
Date: 14 Jan 2000 10:11:50 -0800

GregsMandelP1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1 =3D sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1 =3D ident =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z)^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelP2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D (fn1(z) + fn2(z))^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelP3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z) + fn2(z)^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelP4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z)^p2 + fn2(z)^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaP1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1 =3D sqr =3D standard Julia for point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1 =3D ident =3D standard Julia for point p1
  z =3D Pixel, z =3D fn1(z)^p2 + p1:
   z =3D fn1(z)^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaP2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D (fn1(z) + fn2(z))^p2 + p1:
   z =3D (fn1(z) + fn2(z))^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaP3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D fn1(z) + fn2(z)^p2 + p1:
   z =3D fn1(z) + fn2(z)^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaP4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D exponent, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/sqr =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D fn1(z)^p2 + fn2(z)^p2 + p1:
   z =3D fn1(z)^p2 + fn2(z)^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"


-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 4 OF GREGSMAN.FRM (E-series, Mandelbrot style)
Date: 14 Jan 2000 10:14:01 -0800

GregsMandelE1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D  0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * exp(fn1(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D  0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1 =3D log =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D exp(p2 * fn1(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D log/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D exp(p2 * (fn1(z) + fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D exp(fn1(z) + p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE5 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z) + exp(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE6 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * exp(fn1(z) + fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE7 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * (fn1(z) + exp(fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE8 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * fn1(z) + exp(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelE9 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D fn1(z) + p2 * exp(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelEA {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D exp(p2 * fn1(z)) + exp(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelEB {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D p2 * (exp(fn1(z)) + exp(fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelEC {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D exp(fn1(z)) + exp(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelED {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D exp(fn1(z)) + p2 * exp(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 5 OF GREGSMAN.FRM (E-series Julia style)
Date: 14 Jan 2000 10:15:17 -0800

GregsJuliaE1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * exp(fn1(z)) + p1:
   z =3D p2 * exp(fn1(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 2/0, p3 =3D 2/0, fn1 =3D log =3D standard Julia for point p1
  z =3D Pixel, z =3D exp(p2 * fn1(z)) + p1:
   z =3D exp(p2 * fn1(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D log/zero =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard Julia for =
point p1
  z =3D Pixel, z =3D exp(p2 * (fn1(z) + fn2(z))) + p1:
   z =3D exp(p2 * (fn1(z) + fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard Julia for =
point p1
  z =3D Pixel, z =3D exp(fn1(z) + p2 * fn2(z)) + p1:
   z =3D exp(fn1(z) + p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE5 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D zero/log =3D standard Julia for =
point p1
  z =3D Pixel, z =3D fn1(z) + exp(p2 * fn2(z)) + p1:
   z =3D fn1(z) + exp(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE6 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * exp(fn1(z) + fn2(z)) + p1:
   z =3D p2 * exp(fn1(z) + fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE7 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * (fn1(z) + exp(fn2(z))) + p1:
   z =3D p2 * (fn1(z) + exp(fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE8 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * fn1(z) + exp(fn2(z)) + p1:
   z =3D p2 * fn1(z) + exp(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaE9 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D fn1(z) + p2 * exp(fn2(z)) + p1:
   z =3D fn1(z) + p2 * exp(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaEA {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D exp(p2 * fn1(z)) + exp(p2 * fn2(z)) + p1:
   z =3D exp(p2 * fn1(z)) + exp(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaEB {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D p2 * (exp(fn1(z)) + exp(fn2(z))) + p1:
   z =3D p2 * (exp(fn1(z)) + exp(fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaEC {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D exp(fn1(z)) + exp(p2 * fn2(z)) + p1:
   z =3D exp(fn1(z)) + exp(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaED {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D exp(fn1(z)) + p2 * exp(fn2(z)) + p1:
   z =3D exp(fn1(z)) + p2 * exp(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) PART 3 OF GREGSMAN.FRM (S-series)
Date: 14 Jan 2000 10:12:35 -0800

GregsMandelS1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1 =3D ident =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * sqr(fn1(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D sqr(p2 * (fn1(z) + fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 0/0, p3 =3D 2/0, fn1 =3D ident =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D sqr(fn1(z) + p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * (fn1(z) + sqr(fn2(z))) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS5 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 0/0, p3 =3D 2/0, fn2 =3D ident =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * fn1(z) + sqr(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS6 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 0/0, p3 =3D 2/0, fn1 =3D sqr =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z) + p2 * sqr(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS7 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D sqr(p2 * fn1(z)) + sqr(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelS8 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 0/0, p3 =3D 2/0, fn1 =3D ident =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D sqr(fn1(z)) + sqr(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1 =3D ident =3D standard Julia for point p1
  z =3D Pixel, z =3D p2 * sqr(fn1(z)) + p1:
   z =3D p2 * sqr(fn1(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D sqr(p2 * (fn1(z) + fn2(z))) + p1:
   z =3D sqr(p2 * (fn1(z) + fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 0/0, p3 =3D 2/0, fn1 =3D ident =3D standard Julia for point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D sqr(fn1(z) + (p2 * fn2(z))) + p1:
   z =3D sqr(fn1(z) + p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D p2 * (fn1(z) + sqr(fn2(z))) + p1:
   z =3D p2 * (fn1(z) + sqr(fn2(z))) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS5 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
; p2 =3D 0/0, p3 =3D 2/0, fn2 =3D sqr =3D standard Julia for point p1
  z =3D Pixel, z =3D p2 * fn1(z) + sqr(fn2(z)) + p1:
   z =3D p2 * fn1(z) + sqr(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS6 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 0/0, p3 =3D 2/0, fn1 =3D sqr =3D standard Julia for point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D fn1(z) + p2 * sqr(fn2(z)) + p1:
   z =3D fn1(z) + p2 * sqr(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS7 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D sqr(p2 * fn1(z)) + sqr(p2 * fn2(z)) + p1:
   z =3D sqr(p2 * fn1(z)) + sqr(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaS8 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 0/0, p3 =3D 2/0, fn1 =3D ident =3D standard Julia for point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D zero/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D sqr(fn1(z)) + sqr(p2 * fn2(z)) + p1:
   z =3D sqr(fn1(z)) + sqr(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) FINAL PART, PART 8 OF GREGSMAN.FRM (F- and Z- series)
Date: 14 Jan 2000 10:18:31 -0800

GregsMandelF1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/sqr =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D p2 * fn1(fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelF2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/sqr =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/ident =3D =
standard Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D exp/log =3D standard =
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(p2 * fn2(z)) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelF3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D fn1(fn2(z)^p2) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelF4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   z =3D fn1(fn2(z))^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaF1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/sqr =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/ident =3D standard Julia for =
point p1
  z =3D Pixel, z =3D p2 * fn1(fn2(z)) + p1:
   z =3D p2 * fn1(fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaF2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/sqr =3D standard Julia for =
point p1
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/ident =3D standard Julia for =
point p1
; p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D exp/log =3D standard Julia for =
point p1
  z =3D Pixel, z =3D fn1(p2 * fn2(z)) + p1:
   z =3D fn1(p2 * fn2(z)) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaF3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D fn1(fn2(z)^p2) + p1:
   z =3D fn1(fn2(z)^p2) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaF4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel, z =3D fn1(fn2(z))^p2 + p1:
   z =3D fn1(fn2(z))^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelZ1 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D power, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2/fn3 =3D zero/ident/sqr =
=3D standard
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z)^fn2(z) + fn3(z)^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelZ2 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D power, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2/fn3 =3D zero/ident/sqr =
=3D standard
Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z)^fn2(-z) + fn3(z)^p2 + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelZ3 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D power, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
  z =3D p1 + Pixel:
   z =3D fn1(z)^p2 + fn2(z)^(-p2) + Pixel
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelZ4 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D modulus, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   IF(|z|>real(p2))
     z =3D fn1(z) + Pixel
   ELSEIF(|z|>imag(p2))
     z =3D fn2(z) + Pixel
   ELSE
     z =3D fn3(z) + Pixel
   ENDIF
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelZ5 {; =A92000 Greg McClure
; p1 =3D offset, p2 =3D modulus, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D p1 + Pixel:
   IF(|z|>real(p2))
     z =3D fn1(fn2(z)) + Pixel
   ELSEIF(|z|>imag(p2))
     z =3D fn1(fn3(z)) + Pixel
   ELSE
     z =3D fn1(fn4(z)) + Pixel
   ENDIF
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaZ1 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2/fn3 =3D zero/ident/sqr =3D standard =
Julia for
point p1
  z =3D Pixel, z =3D fn1(z)^fn2(z) + fn3(z)^p2 + p1:=20
   z =3D fn1(z)^fn2(z) + fn3(z)^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaZ2 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D power, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2/fn3 =3D zero/ident/sqr =3D standard =
Julia for
point p1
  z =3D Pixel, z =3D fn1(z)^fn2(z) + fn3(z)^p2 + p1:=20
   z =3D fn1(z)^fn2(-z) + fn3(z)^p2 + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaZ3 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D power, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D sqr/zero =3D standard =
Mandelbrot
; p1 =3D 0/0, p2 =3D 2/0, p3 =3D 2/0, fn1/fn2 =3D ident/zero =3D =
standard Mandelbrot
  z =3D Pixel, z =3D fn1(z)^p2 + fn2(z)^(-p2) + p1:=20
   z =3D fn1(z)^p2 + fn2(z)^(-p2) + p1
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaZ4 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D modulus, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel,
  IF(|z|>real(p2))
    z =3D fn1(z) + p1
  ELSEIF(|z|>imag(p2))
    z =3D fn2(z) + p1
  ELSE
    z =3D fn3(z) + p1
  ENDIF:
   IF(|z|>real(p2))
     z =3D fn1(z) + p1
   ELSEIF(|z|>imag(p2))
     z =3D fn2(z) + p1
   ELSE
     z =3D fn3(z) + p1
   ENDIF
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaZ5 {; =A92000 Greg McClure
; p1 =3D point, p2 =3D modulus, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
  z =3D Pixel,
  IF(|z|>real(p2))
    z =3D fn1(fn2(z)) + p1
  ELSEIF(|z|>imag(p2))
    z =3D fn1(fn3(z)) + p1
  ELSE
    z =3D fn1(fn4(z)) + p1
  ENDIF:
   IF(|z|>real(p2))
     z =3D fn1(fn2(z)) + p1
   ELSEIF(|z|>imag(p2))
     z =3D fn1(fn3(z)) + p1
   ELSE
     z =3D fn1(fn4(z)) + p1
   ENDIF
   ip =3D imag(p3)
   rz =3D real(z)
   iz =3D imag(z)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(rz) + abs(iz))
   ELSEIF(ip<6.1)
    ct =3D (rz + iz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) GMANTEST.PAR
Date: 14 Jan 2000 10:09:11 -0800

testmm1            { ; 10.7 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelm1 function=sqr corners=-2.5/1.5/-1.5/1.5
  params=0/0/1/0/2/0 float=y maxiter=1023 symmetry=xaxis
  }

testmm2-1          { ; 11.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelm2 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmm2-2          { ; 11.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelm2 function=zero/sqr
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmm3-1          { ; 11.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelm3 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/0/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmm3-2          { ; 11.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelm3 function=zero/sqr
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testjm1            { ; 07.1 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliam1 function=sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjm2-1          { ; 07.8 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliam2 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjm2-2          { ; 07.7 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliam2 function=zero/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjm3-1          { ; 07.7 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliam3 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/0/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjm3-2          { ; 07.8 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliam3 function=zero/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testmp1-1          { ; 10.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp1 function=sqr corners=-2.5/1.5/-1.5/1.5
  params=0/0/1/0/2/0 float=y maxiter=1023 symmetry=xaxis
  }

testmp1-2          { ; 10.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp1 function=ident corners=-2.5/1.5/-1.5/1.5
  params=0/0/2/0/2/0 float=y maxiter=1023 symmetry=xaxis
  }

testmp2-1          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp2 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp2-2          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp2 function=zero/sqr
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp2-3          { ; 10.8 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp2 function=ident/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp2-4          { ; 10.9 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp2 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp3-1          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp3 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp3-2          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp3 function=zero/sqr
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp3-3          { ; 10.8 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp3 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp4-1          { ; 10.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp4 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp4-2          { ; 10.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp4 function=zero/sqr
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp4-3          { ; 10.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp4 function=ident/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmp4-4          { ; 10.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelp4 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testjp1-1          { ; 06.9 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap1 function=sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp1-2          { ; 06.8 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap1 function=ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp2-1          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap2 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp2-2          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap2 function=zero/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp2-3          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap2 function=ident/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp2-4          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap2 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp3-1          { ; 07.6 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap3 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp3-2          { ; 07.6 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap3 function=zero/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp3-3          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap3 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp4-1          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap4 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp4-2          { ; 07.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap4 function=zero/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp4-3          { ; 07.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap4 function=ident/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjp4-4          { ; 07.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliap4 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testms1            { ; 10.6 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels1 function=ident corners=-2.5/1.5/-1.5/1.5
  params=0/0/1/0/2/0 float=y maxiter=1023 symmetry=xaxis
  }

testms2-1          { ; 11.1 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels2 function=ident/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms2-2          { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels2 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms3-1          { ; 11.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels3 function=ident/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/0/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms3-2          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels3 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms4-1          { ; 11.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels4 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms4-2          { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels4 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms5-1          { ; 11.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels5 function=sqr/zero
  corners=-2.5/1.5/-1.5/1.5 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testms5-2          { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandels5 function=zero/ident
  corners=-2.5/1.5/-1.5/1.5 params=0/0/0/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testjs1            { ; 07.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias1 function=ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs2-1          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias2 function=ident/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs2-2          { ; 07.3 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias2 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs3-1          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias3 function=ident/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/0/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs3-2          { ; 07.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias3 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs4-1          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias4 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs4-2          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias4 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs5-1          { ; 07.6 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias5 function=sqr/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjs5-2          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjulias5 function=zero/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/0/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testmf1-1          { ; 11.1 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelf1 function=ident/sqr
  center-mag=-0.5/0/0.6666667 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmf1-2          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelf1 function=sqr/ident
  center-mag=-0.5/0/0.6666667 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testjf1-1          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliaf1 function=ident/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjf1-2          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliaf1 function=sqr/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testmf2-1          { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelf2 function=ident/sqr
  center-mag=-0.5/0/0.6666667 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmf2-2          { ; 10.9 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelf2 function=sqr/ident
  center-mag=-0.5/0/0.6666667 params=0/0/1/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testmf2-3          { ; 17.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsmandelf2 function=exp/log
  center-mag=-0.5/0/0.6666667 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testjf2-1          { ; 07.5 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliaf2 function=ident/sqr corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjf2-2          { ; 07.4 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliaf2 function=sqr/ident corners=-2/2/-1.5/1.5
  params=0.3/0.6/1/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testjf2-3          { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliaf2 function=exp/log corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testme2            { ; 16.4 s
  reset=1960 type=formula formulafile=gregsman.frm
  formulaname=GregsMandelE2 function=log center-mag=-0.5/0/0.6666667
  params=0/0/2/0/2/0 float=y maxiter=1023 symmetry=xaxis
  }

testme3-1          { ; 17.0 s
  reset=1960 type=formula formulafile=gregsman.frm
  formulaname=GregsMandelE3 function=log/zero
  center-mag=-0.5/0/0.6666667 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testme3-2          { ; 17.0 s
  reset=1960 type=formula formulafile=gregsman.frm
  formulaname=GregsMandelE3 function=zero/log
  center-mag=-0.5/0/0.6666667 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testme4            { ; 17.0 s
  reset=1960 type=formula formulafile=gregsman.frm
  formulaname=GregsMandelE4 function=zero/log
  center-mag=-0.5/0/0.6666667 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testme5            { ; 17.0 s
  reset=1960 type=formula formulafile=gregsman.frm
  formulaname=GregsMandelE5 function=zero/log
  center-mag=-0.5/0/0.6666667 params=0/0/2/0/2/0 float=y maxiter=1023
  symmetry=xaxis
  }

testje2            { ; 11.0 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliae2 function=log corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testje3-1          { ; 11.1 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliae3 function=log/zero corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testje3-2          { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliae3 function=zero/log corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testje4            { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliae4 function=zero/log corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

testje5            { ; 11.2 s
  reset=1920 type=formula formulafile=gregsman.frm
  formulaname=gregsjuliae5 function=zero/log corners=-2/2/-1.5/1.5
  params=0.3/0.6/2/0/2/0 float=y maxiter=1023 symmetry=origin
  }

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-------------------------------------------------------------------------------

From: Logan Guerra <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, I'll write a program
Date: 14 Jan 2000 22:56:43 -0500 (EST)

as would I.

::Logan::


On Fri, 14 Jan 2000 [e-mail] wrote:

> In a message dated 1/14/2000 11:31:20 AM Eastern Standard Time,
> [e-mail] writes:
>
> <<  Over the weekend, I'll see if I can write a  program to do just that,
> perhaps a program like orgform would be handy, I'm  sure lots of my maps are
> duplicates. >>
>
> If you do so, I'd love a copy of the program.
>
> --Bob Carr--(Ocala, FL)
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   [e-mail]
> Get Commands:   [e-mail] "help"
> Administrator:  [e-mail]
> Unsubscribe:    [e-mail] "unsubscribe fractint"
>


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 15-01-00 (Fractal Railyard) (c)
Date: 15 Jan 2000 02:17:45 -0500 (EST)


FOTD -- January 15, 2000

Fractal enthusiasts and visionaries:

Today's fractal is one about which it can honestly be said,
"this image is different."  It was created with the outside set
to the default <iter>, though one would never guess it from the
appearance of the image.

The picture shows two nearly touching midgets.  It had me
stumped for a name until I noticed that the areas around the
perimeter seem to be covered with branching railroad tracks.
Taking this as a hint, I named the picture "Fractal Railyard".

The formula is virtually identical to the formula of yesterday's
puzzling scene, though instead of Z^2.5 I used Z^2.44949, which
is near exactly the square root of 6.  The change made no
noticeable difference in the overall fractal, but it did shift
the features around quite a bit.

The parameter file renders in 16 minutes on a modest Pentium at
a resolution of 640x480.  This is annoyingly slow, so to give
relief, the JPEG image file has been posted to the binary Usenet
group:

          <alt.binaries.pictures.fractals>

The image is also available for viewing on Paul Lee's web site
at the following URL:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was the coldest of the winter, but in
this unusually mild winter, that's not much of a statement.  The
afternoon temperature of 28F (-2C) was far too cold for the
fractal cats, who spent the day by a radiator.

And yes, I have no philosophy ready, so to stay true to my word
I'll begin my tale of Percy Smedley, the four-dimensional man
with the task facing him of painting the walls of his four-
dimensional hypercubic room.

Standing in the floor at the center of the room, Percy looks at
the six walls surrounding him.  There is one wall before him,
one wall behind him, one wall on his left, one on his right, one
on his in-direction and one on his out direction.  In addition,
there is the ceiling above him and the floor he is standing in.

You may have noticed that I said he is standing in the floor,
not on the floor.  This is because the boundaries of four-
dimensional objects, such as the four-dimensional hyper-room,
are themselves three-dimensional.  The surface of the floor,
as well as the walls and ceiling, are three-dimensional cubes.
Poor Percy does not have only four square walls to cover with
paint; he has six cubical surface-volumes to fill with four-
dimensional paint.

His can of paint is in the shape of a 4-D spherical hypercyl-
inder, with spheres as its top and bottom, and parallel sides
consisting of a three-dimensional space curved into a closed
loop.  The spherical bottom of the can sits firmly in the floor,
with no tendency to upset.  This is because the bottom sphere is
flat in the fourth dimension.  Percy takes his hyperbrush and
 . . .

I'll continue this hair-raising adventure next time.  Until
then, take care, and being four-dimensional is too much work.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Fractal_Railyard   { ; time=0:16:15.72, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.63524521216890230/+0.00000002556797498\
  /1.095162e+009/1/90 params=1/1/-2.44949/2.44949/0/0
  float=y maxiter=2500 bailout=25 inside=0 logmap=340
  symmetry=none periodicity=10
  colors=000hz2dz4az7Yu9VqAPkDMhFIbHF_KCUM9ON7KP7FR7FR\
  5DR5DR5DT5CT4CT4CV4AV4AV2AW2CW2IW1FY1IY1H_1H_0H_0Fa0\
  Fa0Fa0Fb0Db0Db0Dd0Cd0Cd0Cf0Af0Ah0Ah09h09j09j09j07k07\
  k07k05m05m05m04o04o04q04q02q02s02s01s01u01u00u00w00w\
  00w00u00s00q00q00o00m00m00k00j00j00h00f00d00d00b10a1\
  0a20_40Y40Y50W50V70T90T90RA0PA0PC0NC0MD0MF0KF0IH0HH0\
  HI0FK0DK0DM0CM0AN0AN09P07R05R05T04T02V02W01W00Y00Y00\
  _00Y00_00<3>_00_00_00a00<10>b00b00b00b00d00<3>d20d20\
  d20d40f40<2>f50f50f70f70h70h90<3>hA1hA1hC7jCD<2>jDYj\
  DdjFkjFsjHzkKzkNzkNz<2>kDzkAw<3>k9wk9wm7wm7mk7dj5Wh5\
  Nf5Hd5Id7If9KfAKhCMhDMkFNkHPmIPmKRoMRoNToPToRVoTVoVW\
  oWWoYYq__qa_qbaqdaqfbqhbqjdqkdqmfqofqqhqshsujswkswks\
  wmswmswoswoswqswqsysszsszuqzwszuszuuzsuzsuzs_z4az4az\
  4bz2dz2fz2fz1hz1jz1kz0kz0mz0oz0qz0qz0kz1
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Fractal_Railyard   { ; time=0:16:15.72, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.63524521216890230/+0.00000002556797498\
  /1.095162e+009/1/90 params=1/1/-2.44949/2.44949/0/0
  float=y maxiter=2500 bailout=25 inside=0 logmap=340
  symmetry=none periodicity=10
  colors=000hz2dz4az7Yu9VqAPkDMhFIbHF_KCUM9ON7KP7FR7FR\
  5DR5DR5DT5CT4CT4CV4AV4AV2AW2CW2IW1FY1IY1H_1H_0H_0Fa0\
  Fa0Fa0Fb0Db0Db0Dd0Cd0Cd0Cf0Af0Ah0Ah09h09j09j09j07k07\
  k07k05m05m05m04o04o04q04q02q02s02s01s01u01u00u00w00w\
  00w00u00s00q00q00o00m00m00k00j00j00h00f00d00d00b10a1\
  0a20_40Y40Y50W50V70T90T90RA0PA0PC0NC0MD0MF0KF0IH0HH0\
  HI0FK0DK0DM0CM0AN0AN09P07R05R05T04T02V02W01W00Y00Y00\
  _00Y00_00<3>_00_00_00a00<10>b00b00b00b00d00<3>d20d20\
  d20d40f40<2>f50f50f70f70h70h90<3>hA1hA1hC7jCD<2>jDYj\
  DdjFkjFsjHzkKzkNzkNz<2>kDzkAw<3>k9wk9wm7wm7mk7dj5Wh5\
  Nf5Hd5Id7If9KfAKhCMhDMkFNkHPmIPmKRoMRoNToPToRVoTVoVW\
  oWWoYYq__qa_qbaqdaqfbqhbqjdqkdqmfqofqqhqshsujswkswks\
  wmswmswoswoswqswqsysszsszuqzwszuszuuzsuzsuzs_z4az4az\
  4bz2dz2fz2fz1hz1jz1kz0kz0mz0oz0qz0qz0kz1
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) Re:  Project idea
Date: 15 Jan 2000 13:45:39 EST

I am having trouble with ftp from http://members.xoom.com/Khemyst/index.htm

Can't seem to download the file.

Any one who would like the fractint.doc converted to help file format, email
me privately  ([e-mail]) and I'll forward.

I haven't finished all the links yet, but all the pages are linked to the
front table of contents.  I hope to get all internal links done soon.

I'm open to suggestions for additional keywords for each page as well.

Another idea might be to do one with FAQ's... such as:  "Everything you ever
wanted to know about Fractint...but were afraid to ask...."

Thanks

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 16-01-00 (Minibrot Nursery) (c)
Date: 16 Jan 2000 01:48:05 -0500 (EST)


FOTD -- January 16, 2000

Fractal enthusiasts and visionaries:

Today's fractal reminds me of that well-known photo of the
pillars of dust in a stellar nursery taken by the space
telescope.  But in this case it is not stars being born but
Minibrots.  And when Minibrots are born, it is in numbers
infinitely greater than the number of stars in a stellar
nursery.  It is therefore only fitting that I named today's
picture "Minibrot Nursery".

The picture is a fairly convincing representation of a dark
nebula which is a stellar nursery.  The dark clouds are there
with their silver linings.  The picture even has those blobs of
luminous gas, which I think are called Herbig-Haro objects,
being ejected from several of the dark clouds.

The formula that created the action is my workhorse
MandelbrotMix4 calculating 0.1(Z^12.5)+Z+C.  It is a combination
which at first glance appears boring but as today's picture
shows, upon careful trial, proves otherwise.

The scene is colored in an unlikely green and purple palette --
two colors that wouldn't seem to blend.  But having failed color
theory, I didn't know the colors would clash, so I used them
anyway.  And the result isn't all that bad.

The parameter file needs 2-1/2 minutes to finish on a Pentium.
The download of the image from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

is even faster.

The fractal weather, (Is there any other kind?), today was still
cold, but with less sun and an absence of the biting wind of
yesterday.  The temperature of 35F (1.5C) was perfect for
anything imaginable except for the cats, who spent the day
sulking indoors.

It was a great day also for painting the walls of a four-
dimensional room, but our 4-D painter had other things to do
today, and got no work done.  If he finishes his job by
tomorrow, I'll give a full report of his activity.

My philosophizing was just as inefficient.  Hopefully, I'll
regain some of my lost efficiency shortly.  But for tonight,
it's getting late and I've got to find a suitably junky old
sci-fi movie to watch.  Until tomorrow, take care, and the best
fractals are yet to come.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Minibrot_Nursery   { ; time=0:02:35.33, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.387528889499869/+0.1144520299681295/4.\
  960929e+012/1/-160.003/0.004 params=0.1/12.5/1/1/0/0
  float=y maxiter=1400 bailout=25 inside=0 logmap=46
  symmetry=none periodicity=10
  colors=000C6KHBKEAKCAKzwKCTbBAJKAPQAVZGbgGnsUyshhomV\
  krIhw5cm7_d8VXA<3>DDG98Hmv_<3>qD`q2`gCMZM8IJE2GJ<3>_\
  JdgJiiGd<3>q5L<3>vJcwMhxQlyTqzWu<3>PWdFW`6WX<3>PLFTI\
  AYF6aD2<3>SZ5Qd6Oi7Mn7<3>6Ic2AkAAi<3>cAdjAcj8a<3>j1V\
  j0UZGZOVc<3>LURKUNJUKIUHIUE<3>MP`NOfONlPMq<2>J0F<3>V\
  l7Xx5ch6jT6pE6<3>WJK<3>bDOdCPeBQ<3>l6U<3>j3Uj2Ui2Ui1\
  Ui1U<2>N7qM6kM5zM4zSbf<2>SkcSnbUod<4>_rmasobsp<3>guw\
  UezGQz2Bz<2>6Gz<2>3ez<5>3Uz<4>3KzYTz<3>GgzCjzFkz<3>R\
  ozTpzWqz<3>fuz<3>nozpnzrmzslz1uz<9>7Oz8Lz8Iz<3>A5zHC\
  zOJz<9>SgzTizTlz<3>Uuz<3>JgzGczD`zBYzFWzIUzJnz<3>Abz
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Minibrot_Nursery   { ; time=0:02:35.33, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.387528889499869/+0.1144520299681295/4.\
  960929e+012/1/-160.003/0.004 params=0.1/12.5/1/1/0/0
  float=y maxiter=1400 bailout=25 inside=0 logmap=46
  symmetry=none periodicity=10
  colors=000C6KHBKEAKCAKzwKCTbBAJKAPQAVZGbgGnsUyshhomV\
  krIhw5cm7_d8VXA<3>DDG98Hmv_<3>qD`q2`gCMZM8IJE2GJ<3>_\
  JdgJiiGd<3>q5L<3>vJcwMhxQlyTqzWu<3>PWdFW`6WX<3>PLFTI\
  AYF6aD2<3>SZ5Qd6Oi7Mn7<3>6Ic2AkAAi<3>cAdjAcj8a<3>j1V\
  j0UZGZOVc<3>LURKUNJUKIUHIUE<3>MP`NOfONlPMq<2>J0F<3>V\
  l7Xx5ch6jT6pE6<3>WJK<3>bDOdCPeBQ<3>l6U<3>j3Uj2Ui2Ui1\
  Ui1U<2>N7qM6kM5zM4zSbf<2>SkcSnbUod<4>_rmasobsp<3>guw\
  UezGQz2Bz<2>6Gz<2>3ez<5>3Uz<4>3KzYTz<3>GgzCjzFkz<3>R\
  ozTpzWqz<3>fuz<3>nozpnzrmzslz1uz<9>7Oz8Lz8Iz<3>A5zHC\
  zOJz<9>SgzTizTlz<3>Uuz<3>JgzGczD`zBYzFWzIUzJnz<3>Abz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) Determining the M-Set
Date: 16 Jan 2000 21:25:51 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_004E_01BF6068.43C7DC20
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hello!
I'm new in the fractal community and playing with all sorts of =
parameters.
=20
I know that FRACTINT stops the calculation of an orbit if |z|>2. I heard =
that it is certain that a point is outside the M-Set if this happens. =
Can anyone explain this to me?

The iteration always starts with z=3D0, because it is the critical =
point. There's a theorem that states that an orbit starting with this =
point must converge to an attracting cycle if there is one. Is there a =
simple proof for this theorem? ( If not, send me the difficult one :-) =
).

Thank you, Thomas
[e-mail]

------=_NextPart_000_004E_01BF6068.43C7DC20
Content-Type: text/html;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2014.210" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV style=3D"FONT: 10pt arial"></DIV>
<DIV><FONT face=3DArial size=3D2>Hello!</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>I'm new in the fractal community and =
playing with=20
all sorts of parameters.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>I know that FRACTINT stops the =
calculation of an=20
orbit if |z|>2. I heard that it is certain that a point is outside =
the M-Set=20
if this happens. Can anyone explain this to me?</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2>The iteration always starts with z=3D0, =
because it is=20
the critical point. There's a theorem that states that an orbit starting =
with=20
this point must converge to an attracting cycle if there is one. Is =
there a=20
simple proof for this theorem? ( If not, send me the difficult one :-)=20
).</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2>Thank you, Thomas</FONT></DIV>
<DIV><FONT face=3DArial=20
size=3D2>[e-mail]</FONT></DIV></BODY></HTML>

------=_NextPart_000_004E_01BF6068.43C7DC20--


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-------------------------------------------------------------------------------

From: "stuart marshall" <[e-mail]>
Subject: Re: (fractint) Determining the M-Set
Date: 17 Jan 2000 00:18:19 -0000

This is a multi-part message in MIME format.

------=_NextPart_000_0008_01BF6080.5B38E940
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

please put me on the list for the theorem or explanation - thanks

e mail: [e-mail]
Stuart Marshall
Tel: [phone]
http://freespace.virgin.net/stuart.marshall99
  ----- Original Message -----=20
  From: [e-mail]=20
  To: [e-mail]=20
  Sent: Sunday, January 16, 2000 8:25 PM
  Subject: (fractint) Determining the M-Set


  Hello!
  I'm new in the fractal community and playing with all sorts of =
parameters.
  =20
  I know that FRACTINT stops the calculation of an orbit if |z|>2. I =
heard that it is certain that a point is outside the M-Set if this =
happens. Can anyone explain this to me?

  The iteration always starts with z=3D0, because it is the critical =
point. There's a theorem that states that an orbit starting with this =
point must converge to an attracting cycle if there is one. Is there a =
simple proof for this theorem? ( If not, send me the difficult one :-) =
).

  Thank you, Thomas
  [e-mail]

------=_NextPart_000_0008_01BF6080.5B38E940
Content-Type: text/html;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2014.210" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>please put me on the list for the =
theorem or=20
explanation - thanks</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=3DArial size=3D2>e mail: <A=20
href=3D"mailto:[e-mail]">[e-mail]=
</A></FONT></DIV>
<DIV>Stuart Marshall<BR>Tel: [phone]<BR><A=20
href=3D"http://freespace.virgin.net/stuart.marshall99">http://freespace.v=
irgin.net/stuart.marshall99</A></DIV>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 2px solid; MARGIN-LEFT: 5px; MARGIN-RIGHT: =
0px; PADDING-LEFT: 5px; PADDING-RIGHT: 0px">
  <DIV style=3D"FONT: 10pt arial">----- Original Message ----- </DIV>
  <DIV=20
  style=3D"BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: =
black"><B>From:</B>=20
  <A href=3D"mailto:[e-mail]"=20
  title=[e-mail]>[e-mail]</A> =
</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>To:</B> <A=20
  href=3D"mailto:[e-mail]"=20
  title=[e-mail]>[e-mail]</A> =
</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Sent:</B> Sunday, January 16, 2000 =
8:25=20
  PM</DIV>
  <DIV style=3D"FONT: 10pt arial"><B>Subject:</B> (fractint) Determining =
the=20
  M-Set</DIV>
  <DIV><BR></DIV>
  <DIV style=3D"FONT: 10pt arial"></DIV>
  <DIV><FONT face=3DArial size=3D2>Hello!</FONT></DIV>
  <DIV><FONT face=3DArial size=3D2>I'm new in the fractal community and =
playing with=20
  all sorts of parameters.</FONT></DIV>
  <DIV><FONT face=3DArial size=3D2></FONT> </DIV>
  <DIV><FONT face=3DArial size=3D2>I know that FRACTINT stops the =
calculation of an=20
  orbit if |z|>2. I heard that it is certain that a point is outside =
the=20
  M-Set if this happens. Can anyone explain this to me?</FONT></DIV>
  <DIV> </DIV>
  <DIV><FONT face=3DArial size=3D2>The iteration always starts with =
z=3D0, because it=20
  is the critical point. There's a theorem that states that an orbit =
starting=20
  with this point must converge to an attracting cycle if there is one. =
Is there=20
  a simple proof for this theorem? ( If not, send me the difficult one =
:-)=20
  ).</FONT></DIV>
  <DIV> </DIV>
  <DIV><FONT face=3DArial size=3D2>Thank you, Thomas</FONT></DIV>
  <DIV><FONT face=3DArial=20
size=3D2>[e-mail]</FONT></DIV></BLOCKQUOTE></BODY></HT=
ML>

------=_NextPart_000_0008_01BF6080.5B38E940--


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 17-01-00 (Around and Around) (c)
Date: 17 Jan 2000 00:41:23 -0500 (EST)


FOTD -- January 17, 2000

Fractal enthusiasts and visionaries:

Aren't Minibrot Midgets fun?  Today's fractal is a picture of a
midget surrounded by a gaudy spiral, rather too fancy in places,
but still interesting to look at.

The formula responsible for the action is my MandelbrotMix4,
which automatically initializes Z to a critical point of the
formula.  The scene is part of the fractal that results when the
formula Z-0.8(Z^1.5)+C is iterated, and the resulting fractal
examined in one of its more remote spirals.  I named the picture
"Around and Around" when I got a bit dizzy watching the colors
cycle.  (Of course, some would say I'm always a bit dizzy.)  :-)

The parameter file renders in exactly six minutes on my P200.
(At least it did one time.)  This is the first fractal I have
seen that had such a precise draw time.  Curiously enough, when
I ran the same fractal a second time, the draw time was
0:05:59.86 -- about 1/8 of a second faster, and a third run gave
0:05:59.90.  So for all purposes the parameter file renders in
six minutes -- slow enough to make a download of the image from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

worth the effort.

The fractal weather was perfect today, with a temperature of 60F
(15.5C) that lured the fractal cats onto the porch.  Tonight
however it's turning much colder, as evidenced by the 26.6F
(-3.0C) reading on the digital fractal thermometer.

The philosophy got nowhere today.  My excuse is that I was just
not in the mood to write philosophy.  But the backlog is
building, and in a few days will break loose with a vengeance.

Regardless of my philosophical mood, however, I'm always in the
mood for a fractal search.  The results of my next search will
appear as tomorrow's FOTD.  Until then, take care, and no matter
where you go you can't escape fractals.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Around_and_Around  { ; time=0:06:00.00, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.56240521994830900/+1.54489410077084500\
  /6.967642e+010/1/-42.5 params=-0.8/1.5/1/1/0/1000
  float=y maxiter=1800 bailout=25 inside=0 logmap=112
  symmetry=none periodicity=10
  colors=000MBg<3>PEkQFkRGj<3>VKfWLeXMdYNeZOe`Ufa_fcdg\
  dkgeqghutmzzzzzTHAYIA_JA_KAULAKMADNACOACWUCcTBmgBtoB\
  zzK68UDA<2>hWFmaHriJzoKzrMzrNwrOrmPmjQhhRcdS_cT<3>KO\
  aNOYPNUSMQ<2>ZQFaLLdHQgAWjU`zaOzhNzcNwZN<2>UZNEZN8ZN\
  <3>HZaJZeLZiNZl<3>nKmmHmWLi7Oe<2>gEEiB5hKKTSQk1B<3>W\
  OGSTHOZIKcJNgTQjbVnV_qO<3>fsFhsDisB<3>ZcTW_YUWaRSfPP\
  j<3>9Jt5Iw2Hy<3>B7rD4pF2nH0mDgM<2>W`f<4>RjIQlD<3>RqH\
  RrIRsJRtKRuLPwHNyD<3>Ei9Bf89b7<2>3S5<8>H_EJ_FK`G<3>Q\
  cJy_C<7>zPAzOAzN9<3>zI9<5>mZZkacidg<3>aox<6>ntzpuzqv\
  z<3>xxzvyw<3>oznnzklzikzg_zUPzH<2>ezG<6>JzXGzZCz`<3>\
  0zi<2>Aza<4>EzVnzdlzejzf
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Around_and_Around  { ; time=0:06:00.00, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.56240521994830900/+1.54489410077084500\
  /6.967642e+010/1/-42.5 params=-0.8/1.5/1/1/0/1000
  float=y maxiter=1800 bailout=25 inside=0 logmap=112
  symmetry=none periodicity=10
  colors=000MBg<3>PEkQFkRGj<3>VKfWLeXMdYNeZOe`Ufa_fcdg\
  dkgeqghutmzzzzzTHAYIA_JA_KAULAKMADNACOACWUCcTBmgBtoB\
  zzK68UDA<2>hWFmaHriJzoKzrMzrNwrOrmPmjQhhRcdS_cT<3>KO\
  aNOYPNUSMQ<2>ZQFaLLdHQgAWjU`zaOzhNzcNwZN<2>UZNEZN8ZN\
  <3>HZaJZeLZiNZl<3>nKmmHmWLi7Oe<2>gEEiB5hKKTSQk1B<3>W\
  OGSTHOZIKcJNgTQjbVnV_qO<3>fsFhsDisB<3>ZcTW_YUWaRSfPP\
  j<3>9Jt5Iw2Hy<3>B7rD4pF2nH0mDgM<2>W`f<4>RjIQlD<3>RqH\
  RrIRsJRtKRuLPwHNyD<3>Ei9Bf89b7<2>3S5<8>H_EJ_FK`G<3>Q\
  cJy_C<7>zPAzOAzN9<3>zI9<5>mZZkacidg<3>aox<6>ntzpuzqv\
  z<3>xxzvyw<3>oznnzklzikzg_zUPzH<2>ezG<6>JzXGzZCz`<3>\
  0zi<2>Aza<4>EzVnzdlzejzf
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Determining the M-Set
Date: 17 Jan 2000 09:56:52 -0700


First, please turn off your HTML mail setting.  The fractint mailing
list specifically requests that you post in plain text and not use
attachments.

In article <005101bf605f$e56319e0$b0fa343e@thomaspe>,
    [e-mail]  writes:

> I know that FRACTINT stops the calculation of an orbit if |z|>2. I heard =
> that it is certain that a point is outside the M-Set if this happens. =
> Can anyone explain this to me?

The M set is defined as the set of points for which the iterated
sequence remains bounded.  M is computed from the sequence

    znew = zold^2 + c

Once the magnitude of zold becomes greater than 2, this sequence will
diverge to infinity.
--
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 18-01-00 (Bits and Pieces) (c)
Date: 18 Jan 2000 01:09:47 -0500 (EST)


FOTD -- January 18, 2000

Fractal enthusiasts and visionaries:

I named today's fractal "Bits and Pieces".  I gave it this name
because of the disconnected bits and pieces of fractal stuff
scattered throughout the area.  These broken-off pieces are
there because the parent fractal is not totally connected.

The Mandelbrot set is connected.  That is it has no parts that
are disconnected from its main body.  Every midget is connected
to the main bay or one of the buds by an infinitely thin
filament of trapped points.  But not all fractals are connected
in such a manner.

The parent fractal of today's image is not connected.  It
contains islands of fractal material cut off from the main body.
In fact, it has no main body, appearing instead as several large
areas of fractal chaos filled with scattered small quadratic
M-sets of various distorted shapes and sizes.  Around the larger
chaotic areas lie smaller disconnected areas of chaos filled
with tiny M-sets.  Since these midget M-sets lie in cut-off
patches of chaos, the patterns around the midgets are also
filled with cut-off bits and pieces of fractal stuff.  Today's
picture shows one of these midgets.

I have colored the little fellow to emphasize the disconnected
nature of the features.  The coloring alone determines the
pattern, as can be shown by rotating the colors a few steps in
either direction.  I rate this image about a six on my personal
0-to-10 quality scale.

The parameter file renders in 2 minutes on an average Pentium.
The JPEG image file is also available from:

          <alt.binaries.pictures.fractals>

and from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was sunny but hugely cold -- perfect
weather for hunting fractals.  The temperature of 17F (-8C) was
far far too cold for the cats to step outdoors.  They passed the
day chasing the moving patches of sunlight or stretched out
before a radiator.

It was also a perfect day for organizing my pompous philosophi-
cal ponderings, which are coming together under the theme of the
three ways of obtaining knowledge.  In a few days the ponderings
will be made public -- stay posted.

Oh my -- I see it's time to shut down the fractal shop, feed the
fractal cats, and call it a night.  Until next time, take care,
and if your fractal becomes disconnected, it might not be all
that bad.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Bits_and_Pieces    { ; time=0:02:10.72, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-3.74526689211778600/-3.02147577593595700\
  /6.83767e+007/1/57.5 params=0.333/2/-2/-2/0/0 float=y
  maxiter=500 bailout=25 inside=0
  logmap=27 symmetry=none periodicity=10
  colors=000WGJ<3>CD9<3>6SZ5Kd4Pj<2>Tcpahrkovrvzzzz000\
  mml<3>QQQKKKDDD666WRBGDc5Uz4cz37b<3>017jSy<4>UJcRH_N\
  FWKESHCNDAJ<3>436213zaOwVKmPGcJCZC8764gYO<3>EB8754C9\
  1<3>53032A11KAmP6jS<3>3Qc2Kf2Fi1Ab05e`qh<2>9DqmWtjTw\
  VJzF9zg1z<3>Q0zM0zH0z<2>40z6Qz4Hz28z9iz6Uz3Fz7kz<7>3\
  Mz2Jz2Gz<3>03zuPz<3>TCzL9zE6z73ziVz<3>FAz75zJoz<3>Da\
  zCYzBVzAPz8Lz<3>3Pz2Qz1RzqSz<3>RWzKXzDYz6Zzv_z<4>9dz\
  SezLfzEgz7hz2iz<2>0lz7mz<5>3sz3tz2uz<3>0yzZzn<5>IzRG\
  zNDzJ<3>2z3ZzY<3>LzKHzHEzD<2>3z3fzX<2>Az8Mzc7zF<2>1z\
  3czD<3>Hz5Bz35z1zzC<3>Zz6Sz5Lz4Ez27z1CznKzu<3>6zJ3z9\
  Lzk<5>BzP9zM8zI<3>1z36zG5zE4zC
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Bits_and_Pieces    { ; time=0:02:10.72, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-3.74526689211778600/-3.02147577593595700\
  /6.83767e+007/1/57.5 params=0.333/2/-2/-2/0/0 float=y
  maxiter=500 bailout=25 inside=0
  logmap=27 symmetry=none periodicity=10
  colors=000WGJ<3>CD9<3>6SZ5Kd4Pj<2>Tcpahrkovrvzzzz000\
  mml<3>QQQKKKDDD666WRBGDc5Uz4cz37b<3>017jSy<4>UJcRH_N\
  FWKESHCNDAJ<3>436213zaOwVKmPGcJCZC8764gYO<3>EB8754C9\
  1<3>53032A11KAmP6jS<3>3Qc2Kf2Fi1Ab05e`qh<2>9DqmWtjTw\
  VJzF9zg1z<3>Q0zM0zH0z<2>40z6Qz4Hz28z9iz6Uz3Fz7kz<7>3\
  Mz2Jz2Gz<3>03zuPz<3>TCzL9zE6z73ziVz<3>FAz75zJoz<3>Da\
  zCYzBVzAPz8Lz<3>3Pz2Qz1RzqSz<3>RWzKXzDYz6Zzv_z<4>9dz\
  SezLfzEgz7hz2iz<2>0lz7mz<5>3sz3tz2uz<3>0yzZzn<5>IzRG\
  zNDzJ<3>2z3ZzY<3>LzKHzHEzD<2>3z3fzX<2>Az8Mzc7zF<2>1z\
  3czD<3>Hz5Bz35z1zzC<3>Zz6Sz5Lz4Ez27z1CznKzu<3>6zJ3z9\
  Lzk<5>BzP9zM8zI<3>1z36zG5zE4zC
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "Rupert Millard" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, I've writen a program
Date: 18 Jan 2000 08:42:31 GMT

Hello all,
          You can download my compressed duplicate colour map program at:

http://www.geocities.com/kangarupert/page10.html

Unfortunatley it says some maps are the same when they are not, check them
carefully in Fractint before you delete them. I will improve the program
when I have time so that double-checking will not be neccesary. I have
written this with best intentoins at heart and I accept no responsibility if
something goes wrong.

From,
Rupert
______________________________________________________
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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 19-01-00 (Schmidget Midget) (c)
Date: 19 Jan 2000 01:31:45 -0500 (EST)


FOTD -- January 19, 2000

Fractal enthusiasts and visionaries:

When I saw today's midget, I said to myself, "midget schmidget,
that's no midget.  It's just an open area that will fill in when
a higher maxiter is used."  Almost as a joke, I raised the
maxiter to 500,000 and recalculated the picture.  But the midget
did not vanish.  That is when I decided on the name: "Schmidget
Midget".

The midget is a true midget of order 1.2 or something like that.
Actually, the formula is -(Z^1.2)-1.23*(Z^1.234)+C, an obviously
whimsical arrangement.  As is the case with many midgets of such
a low order, the midget in today's picture is surrounded by
strangely decorative fractal objects, all divided and sub-div-
ided to infinity.  There is a smaller sub-midget near the south
shore of today's midget, which I will investigate first thing
tomorrow.

The fractal weather was cloudy and very cold again today.  A few
flakes of snow drifted down during the afternoon, but did not
accumulate on the ground.  The temperature of 20F (-6.5C) was
perfect for snowmaking on the area ski-resorts.

Right now, it's getting late and the cats are getting hungry.
It's time to shut down the Fractal shoppe until tomorrow, and
call it a night.  Until next time, take care, and the parameter
file is slow.  Don't forget to download the image from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

My philosophy foundered once again today.  As always, I'll try
again tomorrow.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Schmidget_Midget   { ; time=0:28:29.00, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+0.05528421807509840/+0.21748697569581040\
  /259.4338/1/32.5 params=-1/1.2/-1.23/1.234/-0.4/0
  float=y maxiter=500000 bailout=25 inside=0 logmap=49
  symmetry=none periodicity=10
  colors=000fABlB8<17>Z7CY6DY6DX6DW6DV6DV5FU5HR6JP9LND\
  NLFP<2>0gu<24>1JI1IG1HF<3>1E9<3>CQ9ES9HV9JYAM`FObK<3\
  >igcnhhsjmrjrrjwrjzqjw<3>pejpcgpbdp`a<2>oWaoS`<2>nL`\
  <3>mU_mW_mYZm_ZmaZ<5>lhYliXljX<4>kmWknWknV<3>kpVlqWn\
  qWorXqsYruY<3>pyZpzZpzZ<17>kzajzajza<2>izaizagz`<3>l\
  zdmzenzf<2>qzhozi<4>nzinzjnzjmzjmzjmzj<12>hzlhzmgzm<\
  2>fzmfzmgzn<6>`zg_zfZze<3>VzaRzb<3>_zXazWczVezTgzSiz\
  RjzR<13>lzElzDlzD<3>lz91zY<2>0z_<5>`zF
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Schmidget_Midget   { ; time=0:28:29.00, SF5 on p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+0.05528421807509840/+0.21748697569581040\
  /259.4338/1/32.5 params=-1/1.2/-1.23/1.234/-0.4/0
  float=y maxiter=500000 bailout=25 inside=0 logmap=49
  symmetry=none periodicity=10
  colors=000fABlB8<17>Z7CY6DY6DX6DW6DV6DV5FU5HR6JP9LND\
  NLFP<2>0gu<24>1JI1IG1HF<3>1E9<3>CQ9ES9HV9JYAM`FObK<3\
  >igcnhhsjmrjrrjwrjzqjw<3>pejpcgpbdp`a<2>oWaoS`<2>nL`\
  <3>mU_mW_mYZm_ZmaZ<5>lhYliXljX<4>kmWknWknV<3>kpVlqWn\
  qWorXqsYruY<3>pyZpzZpzZ<17>kzajzajza<2>izaizagz`<3>l\
  zdmzenzf<2>qzhozi<4>nzinzjnzjmzjmzjmzj<12>hzlhzmgzm<\
  2>fzmfzmgzn<6>`zg_zfZze<3>VzaRzb<3>_zXazWczVezTgzSiz\
  RjzR<13>lzElzDlzD<3>lz91zY<2>0z_<5>`zF
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "Tony \(Anthony\) Hanmer" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, I've writen a program
Date: 19 Jan 2000 15:00:56 GET

Many thanks, Rupert, for developing this programme!  Most gratifying.  I'm
currently rather a pauper as far as free computer access goes, but in a
while I hope for this to change, and to be able to investigate what you've
produced.  Rest assured that it will be very useful.

Thanks again,

Tony Hanmer
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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-------------------------------------------------------------------------------

From: Stephanie Dunne <[e-mail]>
Subject: RE: (fractint) Colour Map Recognition, I've writen a program
Date: 19 Jan 2000 11:41:51 -0000

Hi,

Can I get a copy of that colour map recognition program please?

Stephanie Dunne





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-------------------------------------------------------------------------------

From: Severino Fernandez <[e-mail]>
Subject: (fractint) change detection using multifractal analysis
Date: 19 Jan 2000 17:19:07 +-100

I am very interested in automated change detection on images, =
particularly in small area changes
in remote sensing images, such as caused by changes in structures, new =
buildings, new roads, etc.
I have read the paper on change detection in images using multifractal =
analysis written by Cristophe Canus and Jacques Levy Vehel and their =
approach seemed extremely innovative and with a great potential.
I tried to implement it using the large deviation spectrum, estimating =
it with the simple histogram technique that Dr. Levy Vehel mentions in =
some other of his papers, and using dyadic partitions of my sample =
images, but the spectra I get are very discountinuous, due to the =
non-overlapping of the capacity measures computed at the different =
partitions. In fact, they do not resemble at all the spectra that Dr =
Canus and Dr Levy Vehel present in their paper.
I assume that I am wrongly interpreting the technique or that the method =
for spectrum estimation I am using is not the appropiate one.
If somebody has made any experience on this particular subject, I think =
I need advice or any hint on multifractal spectrum estimation algorithms =
publications, web pages or free software.
Thank you all in advance

Severino Fernandez
Instituto Nacional de Tecnica Aeroespacial
Division de Ciencias del Espacio
Departamento de Teledeteccion
Carretera de Ajalvir, Km 4
28850 Torrejon de Ardoz
Spain
Tel  [phone]
      [phone]
      [phone]
Fax [phone]
Email [e-mail]




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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 19 Jan 2000 18:38:02 EST

i was wondering if anyone remembers the dos pipe or redirect so the output of
this great little utility can go to a text file or diectly to the printer?


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: RE: Re: (fractint) Colour Map Recognition, dos help
Date: 20 Jan 2000 0:31 0000

Hi,


>i was wondering if anyone remembers the dos pipe or redirect so the
>output of
>this great little utility can go to a text file or diectly to the printer?

That'll be the > sign like this:

widget > out.txt

where widget is the name of the utility, to print it try:

widget > prn:
or:
widget > lpt1:

Cheers,
          Robin.




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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 19 Jan 2000 21:26:45 EST

i tried the ">" redirect and it still went to console...am i just doing this
wrong?

c:\fractint\map>multimap > dupes.txt

it didn't redirect to my printer either.  can you or anyone else do it
successfully?

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-------------------------------------------------------------------------------

From: Harry Bissell <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 19 Jan 2000 22:22:19 -0500

I think you have to use

copy C:\xxxxxxxx   >prn  or lpt1 etc...

:^) Harry

[e-mail] wrote:

> i tried the ">" redirect and it still went to console...am i just doing this
> wrong?
>
> c:\fractint\map>multimap > dupes.txt
>
> it didn't redirect to my printer either.  can you or anyone else do it
> successfully?
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   [e-mail]
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> Unsubscribe:    [e-mail] "unsubscribe fractint"


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 20-01-00 (Cyclogenesis) (c)
Date: 20 Jan 2000 00:39:00 -0500 (EST)


FOTD -- January 20, 2000

Fractal enthusiasts and visionaries:

Here in Fractal land everyone is preparing for the big one --
the blizzard of 2000, which is due to strike Thursday and drop
as much as 6 inches on the area.  Of course in these parts an
inch of snow is almost a blizzard, so 6 inches must be
considered a storm of biblical proportions.

The incredible thing is that the storm which is due to drop all
that snow does not yet exist.  It is expected to develop
Thursday morning just off the coast.  Since the development of a
cyclonic storm is known as Cyclogenesis, and today's fractal is
twisted into spiral bands, I named the picture "Cyclogenesis".

Yes, I realize that the central midget is turning in the wrong
direction for a cyclone in the Northern Hemisphere, but maybe
the scene is in the Southern Hemisphere.

The formula behind the cyclone is my MandelbrotMix4, with some
significant irrational numbers randomly fed into it.  And yes, I
am guilty of a bit of post-processing in a graphic program.

The parameter file, if you choose to run it, is a slow one,
requiring 41 minutes on a Pentium 200mhz.  The JPEG'd image file
can be downloaded in only a minute or two from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was bearable, with partly cloudy skies
and an afternoon temperature of 32F (0C), which was milder than
yesterday, but still too cold for fractal cats to venture out of
doors.

A few days ago I left Mr. Percy Smedley standing in the middle
of his four-dimensional room contemplating the job before him of
painting the six walls.  Lest there be fear that I have
abandoned Mr. Smedley, let me assure you that I have not
forgotten him.  I have merely been too busy to properly describe
his task as he covers, or rather fills, the six surface-volumes
of the six walls with paint.  (Actually, I'm not sure how I
manage to fit all the things I do into a day with only 24 hours.)

I hope to return to Mr. Smedley tomorrow.  And if the snow
develops as predicted, things will grind to a halt, giving me
plenty of time to clear the driveway and return to our intrepid
painter.

Until that glorious moment arrives, take care, and the
philosophy *will* return, but Smedley comes first.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Cyclogenesis       { ; time=0:41:22.64, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.23418923607130600/+0.42864036781657180\
  /1.288888e+011/1/90
  params=2.71828182845905/3.14159265358979/1.414213562\
  38/0.70710706/0/0 float=y maxiter=6000 bailout=25
  inside=0 logmap=-614 symmetry=none periodicity=10
  colors=000E0eE0e<3>L0mN0oP0qR0s<2>X6xZ8z`AzZCxVEuNGm\
  HHdAJX2LN0NG0P60P00T20V40X80ZA0bC0dG0eH0gJ2iN6mP8oTA\
  qVCsXEu`HxbJzdLzgNziPzmTzoVzqXzuZzv`zxezsizmqogxkbzg\
  ZzbTz`NzVHzPCzJ8X8kZ6z<2>Z6zZ6z`6z`6z`4z`4z`4z`4zb4z\
  b4vb4Ab4Ab2Ab2ed2gd2id2id2kd2md2mb6q`8sZAuXEvVGxTHzR\
  JzPNzNPzLRzJTzHXz<2>CbzGdzJezNgzPixTkuXmq`okbqgesdiu\
  `mvVoxRszNvzHzzEzzAzz4zz0zz0zz0zzHzzezzdzzdzzbzzbzz`\
  zz`zzZzzZzzXzzXxzVvzVuzTuzTqzNmzJkzGgzCdz8bz4Zz0Vz0T\
  z0Pz0Nz0Lz0Lz0Lz0Jz0Jz0Jz0Hz0Hz0Hz0Gz2Gz4Gz6Gz6Hz6Jz\
  4Lz4Nz2Pz2Rz0Tz0Vz0Xz0`z0PzAVzAzz6zz0<4>zz0zz0zz0zz0\
  zz2zz6vzAuzCqzGozHkzLizPezRdzV`zZZz`VzdTzeZz`bzVezRi\
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  <3>VzvVzvVzxVzxVzz<3>VzzVzzTzzTzzRzzRzzRzzPzzPzz0zX0\
  zZ0zb4ze
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Cyclogenesis       { ; time=0:41:22.64, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.23418923607130600/+0.42864036781657180\
  /1.288888e+011/1/90
  params=2.71828182845905/3.14159265358979/1.414213562\
  38/0.70710706/0/0 float=y maxiter=6000 bailout=25
  inside=0 logmap=-614 symmetry=none periodicity=10
  colors=000E0eE0e<3>L0mN0oP0qR0s<2>X6xZ8z`AzZCxVEuNGm\
  HHdAJX2LN0NG0P60P00T20V40X80ZA0bC0dG0eH0gJ2iN6mP8oTA\
  qVCsXEu`HxbJzdLzgNziPzmTzoVzqXzuZzv`zxezsizmqogxkbzg\
  ZzbTz`NzVHzPCzJ8X8kZ6z<2>Z6zZ6z`6z`6z`4z`4z`4z`4zb4z\
  b4vb4Ab4Ab2Ab2ed2gd2id2id2kd2md2mb6q`8sZAuXEvVGxTHzR\
  JzPNzNPzLRzJTzHXz<2>CbzGdzJezNgzPixTkuXmq`okbqgesdiu\
  `mvVoxRszNvzHzzEzzAzz4zz0zz0zz0zzHzzezzdzzdzzbzzbzz`\
  zz`zzZzzZzzXzzXxzVvzVuzTuzTqzNmzJkzGgzCdz8bz4Zz0Vz0T\
  z0Pz0Nz0Lz0Lz0Lz0Jz0Jz0Jz0Hz0Hz0Hz0Gz2Gz4Gz6Gz6Hz6Jz\
  4Lz4Nz2Pz2Rz0Tz0Vz0Xz0`z0PzAVzAzz6zz0<4>zz0zz0zz0zz0\
  zz2zz6vzAuzCqzGozHkzLizPezRdzV`zZZz`VzdTzeZz`bzVezRi\
  zLmzHszCvz6zz2zz0zz0zz0xz4uz8qzEmzHgzNdzR`zX<2>PziRz\
  kRzkRzkRzmRzmRzmRzmTzoTzoTzoTzoTzqTzqTzqTzqVzsVzsVzu\
  <3>VzvVzvVzxVzxVzz<3>VzzVzzTzzTzzRzzRzzRzzPzzPzz0zX0\
  zZ0zb4ze
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) GregsBrn.frm -- Barnsley-Style Formulas...
Date: 20 Jan 2000 14:19:59 -0800

Here are some formulas in the same vein as the GregsMan formulas posted
earlier...

File GregsBrn.frm
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D
GregsBarnsleyC2E {; =A92000 Greg McClure -- Dual func with even =
constants
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3D(fn1(z)-p2)*Pixel
   ELSE
     z=3D(fn2(z)+p2)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsleyC2P {; =A92000 Greg McClure -- Dual func with pos constant
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3D(fn1(z)-p2)*Pixel
   ELSE
     z=3D(fn2(z)+1)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsleyC2N {; =A92000 Greg McClure -- Dual func with neg constant
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3D(fn1(z)-1)*Pixel
   ELSE
     z=3D(fn2(z)+p2)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsleyM2E {; =A92000 Greg McClure -- Dual func with even mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3Dp2*(fn1(z)-1)*Pixel
   ELSE
     z=3Dp2*(fn2(z)+1)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsleyM2P {; =A92000 Greg McClure -- Dual func with pos mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3Dp2*(fn1(z)-1)*Pixel
   ELSE
     z=3D(fn2(z)+1)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsleyM2N {; =A92000 Greg McClure -- Dual func with neg mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p1 =3D 0/0, p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D =
standard Barnsley
  z =3D p1 + Pixel:
   ip =3D imag(p3)
   IF(IP<0)
     ip =3D abs(ip)-1
     z =3D z + p1
   ENDIF
   IF(real(z)>=3D0)
     z=3D(fn1(z)-1)*Pixel
   ELSE
     z=3Dp2*(fn2(z)+1)*Pixel
   ENDIF,
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulC2E {; =A92000 Greg McClure -- Dual func with even =
constants
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3D(fn1(z)-p2)*p1
   ELSE
     z=3D(fn2(z)+p2)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulC2P {; =A92000 Greg McClure -- Dual func with pos constant
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3D(fn1(z)-p2)*p1
   ELSE
     z=3D(fn2(z)+1)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulC2N {; =A92000 Greg McClure -- Dual func with neg constant
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3D(fn1(z)-1)*p1
   ELSE
     z=3D(fn2(z)+p2)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulM2E {; =A92000 Greg McClure -- Dual func with even mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3Dp2*(fn1(z)-1)*p1
   ELSE
     z=3Dp2*(fn2(z)+1)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulM2P {; =A92000 Greg McClure -- Dual func with pos mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3Dp2*(fn1(z)-1)*p1
   ELSE
     z=3D(fn2(z)+1)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsBarnsJulM2N {; =A92000 Greg McClure -- Dual func with neg mult
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; imag(p3) =3D type =3D 0/MOD, 1/REAL, 2/IMAG, 3/OR, 4/AND, 5/MANH, =
6/MANR
; p2 =3D 1/0, p3 =3D 2/0, fn1/fn2 =3D ident/ident =3D standard Barns =
Julia f/p1
  z =3D Pixel:
   IF(real(z)>=3D0)
     z=3D(fn1(z)-1)*p1
   ELSE
     z=3Dp2*(fn2(z)+1)*p1
   ENDIF,
   ip =3D imag(p3)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D real(z)
   ELSEIF(ip<2.1)
    ct =3D imag(z)
   ELSEIF((ip<3.1) && (|rz|>|iz|))
    ct =3D real(z)
   ELSEIF((ip<3.1) && (|rz|<=3D|iz|))
    ct =3D imag(z)
   ELSEIF((ip<4.1) && (|rz|<|iz|))
    ct =3D real(z)
   ELSEIF((ip<4.1) && (|rz|>=3D|iz|))
    ct =3D imag(z)
   ELSEIF(ip<5.1)
    ct =3D (abs(real(z)) + abs(imag(z)))
   ELSEIF(ip<6.1)
    ct =3D (real(z) + imag(z))
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

  The Kwisatz Haderach,
=DF  Gregory J. McClure

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-------------------------------------------------------------------------------

From: Gregory McClure <[e-mail]>
Subject: (fractint) GregsHyp.frm -- HyperComplex Formulas...
Date: 20 Jan 2000 14:17:18 -0800

Here are some formulas in the same vein as the GregsMan formulas posted
earlier...

File GregsHyp.frm
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
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GregsMandelHM1 {; =A92000 Greg McClure -- HyperMandel (Type ++--)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(0) =3D (xP1+xPixel,yP1+yPixel,xP2,yP2)
; z(n) =3D f[z(n-1)] + (xPixel,yPixel,xP2,yP2)
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D p1 + Pixel, z2 =3D p2, z =3D 0:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
Pixel
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelHM2 {; =A92000 Greg McClure -- HyperMandel (Type --++)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(0) =3D (xP2,yP2,xP1+xPixel,yP1+yPixel)
; z(n) =3D f[z(n-1)] + (xP2,yP2,xPixel,yPixel)
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D p2, z2 =3D p1 + Pixel, z =3D 0:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
Pixel
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelHMA(XAXIS) {; =A92000 Greg McClure -- HyperMandel (Type =
++--)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(0) =3D (xP1+xPixel,yP1+yPixel,xP2,yP2)     \ FORCED SYMMETRY
; z(n) =3D f[z(n-1)] + (xPixel,yPixel,xP2,yP2) / ON X-AXIS
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D p1 + Pixel, z2 =3D p2, z =3D 0:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
Pixel
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsMandelHMB(XAXIS) {; =A92000 Greg McClure -- HyperMandel (Type =
--++)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(0) =3D (xP2,yP2,xP1+xPixel,yP1+yPixel)     \ FORCED SYMMETRY
; z(n) =3D f[z(n-1)] + (xP2,yP2,xPixel,yPixel) / ON X-AXIS
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D p2, z2 =3D p1 + Pixel, z =3D 0:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
Pixel
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaHM1 {; =A92000 Greg McClure -- HyperJulia (Type ++00)
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; z(-1) =3D (xPixel,yPixel,0,0)
; z(n) =3D f[z(n-1)] + (xP1,yP1,xP2,yP2)
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D Pixel, z2 =3D 0, z =3D 0,
  f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2)),
  f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2)),
  f1 =3D fn1(f1), f2 =3D fn2(f2),
  z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p1,
  z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p1
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaHM2 {; =A92000 Greg McClure -- HyperJulia (Type 00++)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(-1) =3D (0,0,xPixel,yPixel)
; z(n) =3D f[z(n-1)] + (xP2,yP2,xP1,yP1)
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D 0, z2 =3D Pixel, z =3D 0,
  f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2)),
  f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2)),
  f1 =3D fn1(f1), f2 =3D fn2(f2),
  z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2,
  z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p1:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p1
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaHMA(ORIGIN) {; =A92000 Greg McClure -- HyperJulia (Type ++00)
; p1 =3D point, p2 =3D multiplier, p3 =3D cutoff/type
; z(-1) =3D (xPixel,yPixel,0,0)          \ FORCED SYMMETRY
; z(n) =3D f[z(n-1)] + (xP1,yP2,xP2,yP2) / AT ORIGIN
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D Pixel, z2 =3D 0, z =3D 0,
  f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2)),
  f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2)),
  f1 =3D fn1(f1), f2 =3D fn2(f2),
  z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p1,
  z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p1
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p2
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }

GregsJuliaHMB(ORIGIN) {; =A92000 Greg McClure -- HyperJulia (Type 00++)
; p1 =3D offset, p2 =3D multiplier, p3 =3D cutoff/type
; z(-1) =3D (0,0,xPixel,yPixel)          \ FORCED SYMMETRY
; z(n) =3D f[z(n-1)] + (xP2,yP2,xP1,yP1) / AT ORIGIN
; imag(p3) =3D type =3D 0/MOD,  1/MODRI, 2/MODJK, 3/REAL, 4/IMAG,
;                 =3D 5/JMAG, 6/KMAG,  7/OR,    8/AND,  9/MANH, 10/MANR
  z1 =3D real(Pixel), z2 =3D (0,1) * imag(Pixel), z =3D 0,
  f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2)),
  f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2)),
  f1 =3D fn1(f1), f2 =3D fn2(f2),
  z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2,
  z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p1:
   f1 =3D real(z1) - imag(z2) + (0,1) * (imag(z1) + real(z2))
   f2 =3D real(z1) + imag(z2) + (0,1) * (imag(z1) - real(z2))
   f1 =3D fn1(f1)
   f2 =3D fn2(f2)
   z1 =3D (real(f1) + real(f2) + (0,1) * (imag(f1) + imag(f2))) / 2 + =
p2
   z2 =3D (imag(f1) - imag(f2) + (0,1) * (real(f2) - real(f1))) / 2 + =
p1
   z =3D sqrt(|z1| + |z2|)
   ip =3D imag(p3)
   rz =3D real(z1)
   iz =3D imag(z1)
   jz =3D real(z2)
   kz =3D imag(z2)
   IF(ip<0.1)
    ct =3D z
   ELSEIF(ip<1.1)
    ct =3D z1
   ELSEIF(ip<2.1)
    ct =3D z2
   ELSEIF(ip<3.1)
    ct =3D rz
   ELSEIF(ip<4.1)
    ct =3D iz
   ELSEIF(ip<5.1)
    ct =3D jz
   ELSEIF(ip<6.1)
    ct =3D kz
   ELSEIF((ip<7.1) && (|rz|>=3D|iz|) && (|rz|>=3D|jz|) && =
(|rz|>=3D|kz|))
    ct =3D rz
   ELSEIF((ip<7.1) && (|iz|>=3D|rz|) && (|iz|>=3D|jz|) && =
(|iz|>=3D|kz|))
    ct =3D iz
   ELSEIF((ip<7.1) && (|jz|>=3D|rz|) && (|jz|>=3D|iz|) && =
(|jz|>=3D|kz|))
    ct =3D jz
   ELSEIF((ip<7.1) && (|kz|>=3D|rz|) && (|iz|>=3D|kz|) && =
(|kz|>=3D|jz|))
    ct =3D kz
   ELSEIF((ip<8.1) && (|rz|<|iz|) && (|rz|<|jz|) && (|rz|<|kz|))
    ct =3D rz
   ELSEIF((ip<8.1) && (|iz|<|rz|) && (|iz|<|jz|) && (|iz|<|kz|))
    ct =3D iz
   ELSEIF((ip<8.1) && (|jz|<|rz|) && (|jz|<|iz|) && (|jz|<|kz|))
    ct =3D jz
   ELSEIF((ip<8.1) && (|kz|<|rz|) && (|kz|<|iz|) && (|kz|<|jz|))
    ct =3D kz
   ELSEIF(ip<9.1)
    ct =3D (abs(rz) + abs(iz) + abs(jz) + abs(kz))
   ELSEIF(ip<10.1)
    ct =3D (rz + iz + jz + kz)
   ELSE
    ct =3D z
   ENDIF,
    |ct| <=3D |real(p3)|
  }
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=
=3D=3D=3D=3D
=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D

  The Kwisatz Haderach,
=DF  Gregory J. McClure

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-------------------------------------------------------------------------------

From: knife31a <[e-mail]>
Subject: (fractint) DOS Pipe
Date: 20 Jan 2000 19:38:24 -0700

 >You wrote: i tried the ">" redirect and it still went to console...am i
 >just doing this
 >wrong?



I thought the DOS Pipe command was the "|" sign.

Randy
RH

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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) DOS Pipe
Date: 20 Jan 2000 21:48:55 EST

the > is a redirect and | is a pipe and i still can't make the output from
the file go to file or printer.

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-------------------------------------------------------------------------------

From: "Jim Shaffer, Jr." <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 20 Jan 2000 21:55:22 -0500

> i tried the ">" redirect and it still went to console...am i just doing this
> wrong?

I haven't looked at the program in question, but I assume that the redirection
operators only work on the standard output stream.  Perhaps the program uses
some other method of output, such as writing to the screen.



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 21-01-00 (A Shower of Stars) (c)
Date: 21 Jan 2000 00:38:32 -0500 (EST)


FOTD -- January 21, 2000

Fractal enthusiasts and visionaries:

It's been a very busy day and evening here at Fractal Central.
Between the graphic work and clearing the snow, I had barely a
spare moment all day, and this evening when the sky cleared
completely, I got a perfect view of the total lunar eclipse,
which is now in progress.  The totally eclipsed moon now high
overhead at 11:50pm appears as a dull, greyish-red orb, with a
brighter blueish southern rim, almost directly in line with
Castor and Pollux, the two bright stars of Gemini.  The
northern half of the moon is almost black, and barely visible to
the naked eye.  I would rate this average-brightness eclipse
about a three on the 1-to-5 scale of lunar eclipse brightnesses.

Unfortunately, with all these distractions, I found myself
forced to cut both the fractal search and the discussion writing
time short.  But even with the shorter search time, I found a
fractal worthy of being declared FOTD.

The image is part of the fractal that results when negative
portions of Z^(-2.13) and Z^(-4) are added, and Z is initialized
to a critical point of the formula.  I named the picture
"A Shower of Stars" after the large seven-sided star-like object
in the upper left corner, which appears to be showering trains
of smaller stars on the unseen earth below.

The scene is one of the rare ones without a midget that I have
found with the M-Mix4 formula, though the surrounding area is
filled with them.  The parameter file is a fast one, leaving to
the viewer the decision whether to run the par file or download
the finished image from:

          <alt.binaries.pictures.fractals>

or from:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

As I stated earlier, the weather today was absolutely perfect,
with snow until 4pm which accumulated 7 inches (17cm).  It was
hardly the blizzard of 2000, but it was adequate to bring joy to
the hearts of all snow lovers.  The temperature of 29F (-1.5C)
was too cold for the fractal cats, however.

I realize that there is no joy in the hearts of those who are
waiting to see Percy Smedley get to work painting that 4-D room
of his.  Nor is there joy in the hearts of those waiting for my
philosophical prowess to solve the greatest mysteries of
existence.  But tomorrow is another day, and there will be
neither snow nor eclipse to distract me.  Until then, take care,
and don't give up hope.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

A_Shower_of_Stars  { ; time=0:01:18.16, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=t
  center-mag=-1.23995488802568300/-0.99480648841768850\
  /483.3442/1/24.999 params=-1/-2.13/-3/-4/0/0
  float=y maxiter=400 bailout=25 inside=0 logmap=8
  symmetry=none periodicity=10
  colors=000G0P<21>G0P<4>G0PPPq<3>dJqgIqkGq<3>zBq<3>uP\
  etSbsV`<3>XmmSqpMvsHzv<3>EceDYaDSYCMUCHQ<3>zNMzz5<3>\
  zz2zz2zz3wz4<2>ng7ka8hX9eTAbTBzzC<4>zzH<3>zzKzzLzzL<\
  3>zzBzzK<4>zzh<4>zzwzzz<30>zzz<4>zzzzwG<2>zwDwwC<3>c\
  w9Zs8<2>Zh5Zk5<6>i`UjZYlY`<3>qSn<2>lZ0<3>SjONmUUkP<3\
  >uf9<6>pjZpjaoke<3>mls<3>Ars1ss3lk5ec7ZW8bPF_Q<3>byU\
  <3>emPfmOfmNUmY<3>YmcYmdZmf<2>amjamkdmf<3>nmOqmJsmEv\
  m9xm5<7>ymNymPymS<3>ym_xmWwmG<2>wmQ
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

A_Shower_of_Stars  { ; time=0:01:18.16, SF5 on a p200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=t
  center-mag=-1.23995488802568300/-0.99480648841768850\
  /483.3442/1/24.999 params=-1/-2.13/-3/-4/0/0
  float=y maxiter=400 bailout=25 inside=0 logmap=8
  symmetry=none periodicity=10
  colors=000G0P<21>G0P<4>G0PPPq<3>dJqgIqkGq<3>zBq<3>uP\
  etSbsV`<3>XmmSqpMvsHzv<3>EceDYaDSYCMUCHQ<3>zNMzz5<3>\
  zz2zz2zz3wz4<2>ng7ka8hX9eTAbTBzzC<4>zzH<3>zzKzzLzzL<\
  3>zzBzzK<4>zzh<4>zzwzzz<30>zzz<4>zzzzwG<2>zwDwwC<3>c\
  w9Zs8<2>Zh5Zk5<6>i`UjZYlY`<3>qSn<2>lZ0<3>SjONmUUkP<3\
  >uf9<6>pjZpjaoke<3>mls<3>Ars1ss3lk5ec7ZW8bPF_Q<3>byU\
  <3>emPfmOfmNUmY<3>YmcYmdZmf<2>amjamkdmf<3>nmOqmJsmEv\
  m9xm5<7>ymNymPymS<3>ym_xmWwmG<2>wmQ
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) Quickie post par
Date: 21 Jan 2000 21:42:06 EST

jest a couple of pars i really enjoyed.  The GiraSol series was just some
quick evolver investigations into the formula jdg-7-01c.  I've only included
13 of about 40(and given more time maybe a hundred).  Try your favourite maps
on the images and completely change the character of the image.  I've also
included two midgets i'm partial to, Breed_Pool, a par using gregsmandel3,
and Spec_Tral a nice spiral.
Good viewing.

GiraSol01          { ;   0:00:11.20 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.65099/11.22061/0.29423/1.56705 float=y maxiter=255 inside=0
  potential=255/300/100 decomp=256 rseed=3141 cyclerange=0/255
  sound=off
  colors=DGN000100000300<3>800H00<4>H00<2>K00M00N00P00Q00<5>Z00_00a00<2>e0\
  0f10f20<23>sRAsSBtTB<2>uWDvXDvZG<3>tiSskUrnXqq_ptb<6>WaTTZSQWQ<2>HOMELKD\
  KJ<3>AFFAEE9DD8BB<2>ABDBBEBDH<3>CLTCNVDPY<3>DXhDZkE`nEbqFdt<5>DObDMZDJW<\
  3>C8K97F<2>9BFFD9EFA<5>Z`PbdSegU<3>svc<2>svc<4>fj`cg_aeZ<3>RVWOSVLPUIMTF\
  JSFJS<3>TEKWDI_BGbAEeCDgEC<2>rL8rL8uN7xP5<3>lE8iB9f89c5A<3>U7ES8GQ9HNAJL\
  BKLCMKEO<3>UPWXSYZV_c`b<3>oljrolurnrplnmkikk<6>YWPWUMVRI<3>OI5<3>YRD`TFb\
  WH<3>kcPneRqgT<2>xn_wm_vlZ<14>GIO
  }

GiraSol02          { ;   0:00:07.14 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.298409985656301/10.32303842280343/-0.3491851557969909/0.7128086\
  184270758 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=DGN000100000300<3>800H00<4>H00<2>K00M00N00P00Q00<5>Z00_00a00<2>e0\
  0f10f20<23>sRAsSBtTB<2>uWDvXDvZG<3>tiSskUrnXqq_ptb<6>WaTTZSQWQ<2>HOMELKD\
  KJ<3>AFFAEE9DD8BB<2>ABDBBEBDH<3>CLTCNVDPY<3>DXhDZkE`nEbqFdt<5>DObDMZDJW<\
  3>C8K97F<2>9BFFD9EFA<5>Z`PbdSegU<3>svc<2>svc<4>fj`cg_aeZ<3>RVWOSVLPUIMTF\
  JSFJS<3>TEKWDI_BGbAEeCDgEC<2>rL8rL8uN7xP5<3>lE8iB9f89c5A<3>U7ES8GQ9HNAJL\
  BKLCMKEO<3>UPWXSYZV_c`b<3>oljrolurnrplnmkikk<6>YWPWUMVRI<3>OI5<3>YRD`TFb\
  WH<3>kcPneRqgT<2>xn_wm_vlZ<14>GIO
  }

GiraSol03          { ;   0:00:06.64 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.169164098025453/10.30903042695395/0.03971221045564133/0.6810388\
  500625627 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=DGN000100000300<3>800H00<4>H00<2>K00M00N00P00Q00<5>Z00_00a00<2>e0\
  0f10f20<23>sRAsSBtTB<2>uWDvXDvZG<3>tiSskUrnXqq_ptb<6>WaTTZSQWQ<2>HOMELKD\
  KJ<3>AFFAEE9DD8BB<2>ABDBBEBDH<3>CLTCNVDPY<3>DXhDZkE`nEbqFdt<5>DObDMZDJW<\
  3>C8K97F<2>9BFFD9EFA<5>Z`PbdSegU<3>svc<2>svc<4>fj`cg_aeZ<3>RVWOSVLPUIMTF\
  JSFJS<3>TEKWDI_BGbAEeCDgEC<2>rL8rL8uN7xP5<3>lE8iB9f89c5A<3>U7ES8GQ9HNAJL\
  BKLCMKEO<3>UPWXSYZV_c`b<3>oljrolurnrplnmkikk<6>YWPWUMVRI<3>OI5<3>YRD`TFb\
  WH<3>kcPneRqgT<2>xn_wm_vlZ<14>GIO
  }


GiraSol09          { ;   0:00:14.89 on PIII(500)
                     ; Created Jan 14, 2000 by Rui Parracho
                     ; email-to:[e-mail]
                     ; parameters created on Feb 10, 1997
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=-0.0499561/-0.0341588/0.2813068/1/74.996
  params=9.602374340037233/10.23746452223274/1.03568376720481/0.1582873012\
  482067 float=y maxiter=255 inside=0 potential=255/300/100 decomp=256
  rseed=3141 cyclerange=0/255 sound=off
  colors=CCCzsGzzz<3>mwmjwjfvf<3>UsU<7>isi<4>sss<16>ssM<4>ssC<16>sMC<4>sCC\
  <17>KCC<4>ACCCCC<15>gCgiCikCk<3>sCs<16>MCs<4>CCs<16>Cis<4>Css<5>Csg<4>Cs\
  YECE<15>iCi<4>sCs<16>MCs<4>CCs<16>Cis<4>Css<8>Csa<4>CsS<4>qsI
  }

GiraSol14          { ;   0:00:06.31 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=-0.0499561/-0.0341588/0.2813068/1/74.996
  params=10.16553239539781/10.97274697103794/0.3815195165868103/-0.8091799\
  676503802 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
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  }

GiraSol16          { ;   0:00:06.65 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=-0.0499561/-0.0341588/0.2813068/1/74.996
  params=9.058565019684439/11.41270180364391/0.9988479262672814/0.04411755\
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  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=000nn0<2>zz0<9>OO0KK0GG0<3>000<9>0b00f00j0<3>0z0<9>0O00K00G0<3>00\
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  }

GiraSol18          { ;   0:00:06.59 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=-0.0499561/-0.0341588/0.1374567/1/74.998
  params=8.336008789330728/11.13449507126072/-0.1694616534928431/0.7781487\
  472151858 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=200333<9>fff<4>zzz<3>pkkmggkcc<3>`OOYKKWGGTCC<2>zzz<3>kpkgmgckc<3\
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  }

Breed_Pool     { ;   0:01:10.63 on PIII(500)
                     ; Created Jan 13, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=1920 type=formula formulafile=frac_ml.frm
  formulaname=zmincoszb passes=t
  corners=-14.01561/4.918662/9.808842/-15.43685/4.918662/-15.43685
  params=-25.9299/0.5927 float=y inside=zmag outside=summ
  invert=-0.884945219275491/0.580370494705039/-0.595080416272469
  periodicity=0 rseed=3141 sound=off
  colors=G0G<21>plpqnqsps<3>zzz<21>EQbCPaAN`<3>0GW<22>nq6ps5su4uv2wx1yz0zz\
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  }

Spec_Tral           { ;   0:02:15.06 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=gregman2.frm
  formulaname=gregsmandels3 function=cos/cotan passes=t
  center-mag=+2.32876830288676600/-0.33422447351784550/12042.16/1/-59.999
  params=-0.965514084292123/0.4783165990173039/-1.406323435163427/-0.38892\
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  colors=070oF0<3>qF0qF0qF0qF0qF0<3>hF2fF3dI3<3>WU5TX6R_6<2>Kh8<3>Yj2ak1dl\
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  }

OM-2               { ;   0:00:06.54 on PIII(500)
                     ; Created Jan 14, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=mandel
  center-mag=-0.83184573249999990/+0.20622975750000000/7421.471/1/-27.625
  params=0/0 float=y maxiter=2000 logmap=121 rseed=3141 sound=off
  colors=000L00<3>T00W00Y00Z00`00c00e80<2>jE0kF0mI0oK0pM0qP0sS0tU0uW0vZ0wa\
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  }

OM-3               { ;   0:00:10.71 on PIII(500)
                     ; Created Jan 14, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=mandel
  center-mag=-0.83192252672778080/+0.20619000812253980/1321972/1/-30.124
  params=0/0 float=y maxiter=5000 logmap=318 rseed=3141 sound=off
  colors=000zsO<26>zxszxtzyvzywzyxzzz<42>JziIzhHzhGzgFzgDzf<38>JD9KC8KB7<3\
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  vFlwGmwGn<2>yHqzIszJr<29>zqP
  }

GiraSol01c         { ;   0:00:11.37 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
                     ; parameters created on Feb 10, 1997
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.65099/11.22061/0.29423/1.56705 float=y maxiter=255 inside=0
  potential=255/300/100 decomp=256 rseed=3141 cyclerange=0/255
  sound=off
  colors=000Nzj<3>JziIzhHzhGzgFzgDzf<32>ILEIJDIIC<3>JD9KC8KB7<3>K53K32K21L\
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  }

GiraSol02c         { ;   0:00:10.93 on PIII(500)
                     ; Created Jan 14, 2000 by Rui Parracho
                     ; email-to:[e-mail]
                     ; parameters created on Feb 10, 1997
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.298409985656301/10.32303842280343/-0.3491851557969909/0.7128086\
  184270758 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=000Nzj<3>JziIzhHzhGzgFzgDzf<38>JD9KC8KB7<3>K53K32K21L00<7>B00A009\
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  }

GiraSol03c         { ;   0:00:06.64 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.169164098025453/10.30903042695395/0.03971221045564133/0.6810388\
  500625627 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=z00v00<4>c07_08W09<2>K0DG0FE0J<4>80a60e50i<2>10u00y10u<4>80b90ZA0\
  V<3>G0F<4>9Q88V76_5<2>3o21t00z01u0<4>8W79R8AM9<3>G0F<6>P0OQ0PR0Q<3>W0V<5\
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  }

GiraSol04c         { ;   0:00:06.48 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=7.413708914456619/9.865077669606618/0.4196371349223304/0.24654683\
  06527907 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=000nn0<2>zz0<9>OO0KK0GG0<3>000<9>0b00f00j0<3>0z0<9>0O00K00G0<3>00\
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  J00F<3>000<11>jj0
  }

GiraSol05c         { ;   0:00:07.58 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=8.358806115909299/10.33103427228614/0.1211661122470779/1.03636585\
  5891598 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=KIf<3>NOeOPeORePSeQUd<5>FFLDDHBAE<3>400<2>A00C00C00<6>I00J00K00<3\
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  Q17H149000CC9<7>bbVfeYii`<3>wvk<2>rRf<7>IDgJFgKGg
  }

GiraSol06c         { ;   0:00:06.48 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=0.0937903/-0.570553/0.1052088/1/74.998
  params=8.851222266304514/10.8673970763268/0.4967574083681753/0.479860835\
  5967892 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=000e0dzLKzLdzLyzeyzz0zzdzzyezy0zyLey00y0Ld00KLLK000e0dzLKzLdzLyze\
  yzz0zzdzzyezy0zyLey00y0Ld00KLLK000e0dzLKzLdzLyzeyzz0zzdzzyezy0zyLey00y0L\
  d00KLLK000e0dzLKzLdzLyzeyzz0zzdzzyezy0zyLey00y0Ld00KLLK000e0dzLKzLdzLyze\
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  d00KLLKccb<14>ccb
  }

GiraSol24          { ;   0:00:15.00 on PIII(500)
                     ; Created Jan 21, 2000 by Rui Parracho
                     ; email-to:[e-mail]
                     ; parameters created on Feb 10, 1997
  reset=2000 type=formula formulafile=_j.frm formulaname=jdg-7-01c
  function=recip/cos passes=1
  center-mag=-0.0499561/-0.0341588/0.09577934/1/74.997
  params=10.57115390484329/10.59776604510636/1.198774681844539/-0.59155247\
  65770442 float=y maxiter=255 inside=0 potential=255/300/100
  decomp=256 rseed=3141 cyclerange=0/255 sound=off
  colors=000zzW<48>ob4oa3na3n`2n`2n_1mZ0<134>G10G10F00<61>000
  }


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 22-01-00 (Mystical Vision) (c)
Date: 22 Jan 2000 00:32:49 -0500 (EST)


FOTD -- January 22, 2000

Fractal enthusiasts and visionaries:

The lunar eclipse has gone but the snow remains, here at Fractal
Central.  And today it's blowing around in swirling clouds, and
drifting into sculpted shapes that almost look like certain
fractals I have seen.  Today's fractal has little to do with
drifting snow however, but in its majestic symmetry it does have
a kind of mystical aura about it.

I have named the picture "Mystical Vision" to emphasize this
mysterious sense of some sublime but unknown reality.  It was
created, as are a large percentage of my fractals, with the
MandelbrotMix4 formula, today calculating the expression
24.25(0.6(Z^0.6)-0.6(Z^0.666))+C.

These parameters are very near the point where the fractal turns
inside-out, which is the point where M-Mix4 fractals do the most
interesting things.  There is a second turning point in this
formula, which can be found by setting the function to recip and
adjusting real(p3), though I have not investigated this aspect
of the formula.

If you choose to see the image by running the attached parameter
file, and have a Pentium 200mhz processor in your machine, be
prepared to wait 4 minutes.  If you have an 80486, go at once to
the Usenet binary group:

          <alt.binaries.pictures.fractals>

and download the JPEG file from there.  The image is also
available on the WWW at Paul Lee's web site at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was partly cloudy with flurries of
snow and a strong gusty wind, which whipped yesterday's snow
into drifts.  The temperature of 14F (-10C) and biting wind was
almost too cold for people much less for the fractal cats, who
spent the day by whatever radiator happened to be warmest.

With much less other work to do today, I found more time to
consider Percy Smedley and his four-dimensional room, which is
in need of a fresh coat of paint.  For purposes of simplicity,
let's make the room a perfect 4-D hypercube measuring 4x4x4x4
meters.  As Percy stands in, (not on), the center of his cubical
4x4x4 floor, he sees a cubical 4x4x4 ceiling above him, a
cubical 4x4x4 wall before him, another such wall behind him,
similar walls on his left and right and two more cubical walls
in the fourth dimension, which I shall call his inside and
outside.

Since the floor of this room is covered by wall-to-wall-to-wall
carpet, Percy needs to do nothing to his floor.  And since the
ceiling is covered with a nice solid volume of untarnished
decorative paper displaying three-dimensional pictures of the
4-D Z^2+C Julibrot, he needs to do nothing to his ceiling.  But
he does have those six 4x4x4 walls, all at right angles to the
others, to fill, (not coat), with fresh paint.

It might be supposed that with walls as thick as they are wide
and tall, Percy's house is built like a fortress, but this is
not the case, for these walls are unlike the familiar walls of
our 3-D world.  These are walls of a four-dimensional room, and
every point, no matter how deep within their solid volumes, is
in contact with both the inside and outside of Percy's house.

If one of the cubical walls had an empty bubble at its center,
that bubble would be a hole through which cold air could leak,
and which must be repaired.  By glancing at a wall, Percy can
see every point throughout its 3-D volume.  This is not because
he has x-ray vision, it is because nothing lies between those
points and his eyes.

These things make no sense whatsoever to our 3-D trained senses
and minds, but if we had 4-D senses, or could even imagine the
fourth dimension, the shape of Percy's room would be immediately
obvious.  There are many more unexpected features to be found in
the 4-D room, such as how the parts fit together, but this will
have to wait until next time, which will probably be tomorrow.

Right now, it's time to shut down the fractal shoppe, feed the
cats, and call it a night.  Until next time, when we'll further
inspect Percy's room, take care, and when the unexpected
strikes, it is never expected.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Mystical_Vision    { ; time=0:03:51.73, SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=13.2671/7.10543e-015/0.1086062/1/-90
  params=0.6/0.6/-0.6/0.666/23.25/1000 float=y
  maxiter=400 bailout=25 inside=0 logmap=11
  symmetry=none periodicity=10
  colors=000R8QQ8PP6O<4>QCPRDQREQ<3>RIRSJUSKXSLY<19>Ve\
  ZWfZWgZWhZWiZWiZWkZViZVjZViZUjZUi_Uj`TiaTjb<3>SiiSij\
  Rik<5>PhrPhsPht<2>OhwNgyOhx<20>evwevwfww<2>iywiywixv\
  <10>lwolwolwn<14>msemsemrd<3>mrbmramr`mr`mq_mqa<4>mp\
  YmpYmoX<32>mmDmmCmmBmmBmmAmm9<31>mmKmmKmmL<2>mmMmmMm\
  mK<18>mmbmmcmmd<2>mmfmmgmmgmmg<6>mmi
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Mystical_Vision    { ; time=0:03:51.73, SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=13.2671/7.10543e-015/0.1086062/1/-90
  params=0.6/0.6/-0.6/0.666/23.25/1000 float=y
  maxiter=400 bailout=25 inside=0 logmap=11
  symmetry=none periodicity=10
  colors=000R8QQ8PP6O<4>QCPRDQREQ<3>RIRSJUSKXSLY<19>Ve\
  ZWfZWgZWhZWiZWiZWkZViZVjZViZUjZUi_Uj`TiaTjb<3>SiiSij\
  Rik<5>PhrPhsPht<2>OhwNgyOhx<20>evwevwfww<2>iywiywixv\
  <10>lwolwolwn<14>msemsemrd<3>mrbmramr`mr`mq_mqa<4>mp\
  YmpYmoX<32>mmDmmCmmBmmBmmAmm9<31>mmKmmKmmL<2>mmMmmMm\
  mK<18>mmbmmcmmd<2>mmfmmgmmgmmg<6>mmi
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "Mitchell Berger" <[e-mail]>
Subject: Re: (fractint) Quickie post par
Date: 22 Jan 2000 13:49:18 EST

Where can I find, or can you send me the jdc-7-01c formula? I am unable to
find it in my frm folder.

Thanks,

Mitch B.

ôThe destination is not that rewarding if you have not had the experience of
the journeyö.  Jimmy Buffett


>From: [e-mail]
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) Quickie post par
>Date: Fri, 21 Jan 2000 21:42:06 EST
>
>jest a couple of pars i really enjoyed.  The GiraSol series was just some
>quick evolver investigations into the formula jdg-7-01c.
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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-------------------------------------------------------------------------------

From: "Karl Scherer" <[e-mail]>
Subject: (fractint) AVI
Date: 23 Jan 2000 11:11:58 +1300

Hi ,

could please anybody tell me how to make a fractal AVI?
I have just tried it the first time,so bear with me.
I have used the FAE.EXE to create 60 GIFs, but the AVI maker
wants bitmaps (BMP files).
Is there an easy way to convert all gifs to BMPs?
Or to create BMPs in the first round?

Please reply to my personal email.
Thank you very much!

Karl Scherer
11 Utting Str, Auckland, New Zealand
[e-mail]
Seen my homepage lately?
http://www.kiwi.gen.nz/~karl


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-------------------------------------------------------------------------------

From: knife31a <[e-mail]>
Subject: (fractint) Conversion of BMP
Date: 22 Jan 2000 16:35:22 -0700

  I use a program called LView Pro at http://www.lview.com. however there
are all sorts of others that will do the job

Randy Hoffmaster


RH

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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) AVI generation
Date: 23 Jan 2000 0:56 0000


For generating AVIs try Fast Movie Processer (FMP)

a web search with terms like 'FMP' 'AVI' 'HAL' 'Movie'
should pin it down, it takes allsorts of files as input including
gifs (I think).
It also includes a bunch of filters for special effects.

Cheers,
         Robin.



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 23-01-00 (Something) (c)
Date: 23 Jan 2000 01:45:50 -0500 (EST)


FOTD -- January 23, 2000

Fractal enthusiasts and visionaries:

When I examined today's image, searching for a name, I noticed
that the edges are perfectly smooth -- all but one, that is.
The edge just left of bottom center has a sawtooth shape.  "Now
ain't that something!" I exclaimed as I noticed the strange
effect.  When I uttered that phrase, I inadvertently found the
name for today's picture -- "Something" -- a name that describes
the otherwise indescribable scene as well as any single word
could.

But I must confess that the sawtooth effect is ersatz -- an
artifact of the limited 640x480 resolution of the posted image.
The actual pattern, as can be verified by a blow-up of the GIF
version, consists of a narrow parallel band running close to the
edge of the broad band.

The formula behind today's fractal is called Mystic2.  I gave it
that name when I noticed that it creates nothing but circles
when the outside is set to iter and the inside to 0.  But when
the inside is set to bof60 or bof61, the variety is limitless.
Today's image is composed completely of trapped points.  The
fractal features come from the different manner in which the
trapped points behave.

The attached parameter file takes 9+ minutes to render on a P200
-- a bit too long to make it worth the wait -- especially when
the finished JPEG image is available on Usenet at:.

          <alt.binaries.pictures.fractals>

and on the Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was increasingly cloudy in advance of
the next snowfall, which is due to begin in a few hours.  The
temperature of 18F (-8C) was perfect for hunting fractals.  The
fractal cats would have preferred something much warmer, but
winter still has 2 months to go, so the cats will have to be
patient.

In other quarters, our intrepid four-dimensional painter, Percy
Smedley, is still pondering that strange room of his, with its
cubical walls that are flat yet three-dimensional.  These wall-
cubes are exactly like the 3-D cubes so familiar from everyday
experience, but the way percy sees them is impossible to
visualize.  Like all cubes, the cubes that are the surfaces of
Percy's walls are bounded by six square faces.  This is where
familiarity ends, for percy can see the cubes from a direction
that is perpendicular to all six square faces.

This seems impossible, for the faces are oriented in three
different directions, but in 4-D space it is quite simply
accomplished.  Perhaps the most familiar example is found in our
old friend the 4-D Julibrot, where the imag(z) axis for example
is perpendicular to the other 3 axes.

Percy draws a deep breath and takes his brush . . .  We'll
continue this mini saga tomorrow, when we follow Percy as he
applies the paint.

For now, another day is rapidly drawing to a close, the fractals
have finished generating -- nothing remains but to shut down the
fractal shoppe for the night and settle down to watch my usual
saturday night sci-fi junker.  Until next time, take care, and
how many corners has a four-dimensional room?


Jim Muth
[e-mail]


START FORMULA==============================================

Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100
}

END FORMULA================================================

START PARAMETER FILE=======================================

Something          { ; time=0:09:14.86, SF5 on a P200
  reset=2000 type=formula formulafile=jim.frm
  formulaname=Mystic2 function=acos passes=1
  center-mag=-1.16573e-015/8.88178e-016/1.693745/1/-10\
  2.5 params=2.407/-3.318/-3.004/0.497/-1.096/-0.124
  float=y maxiter=180 bailout=25 inside=bof60
  symmetry=none periodicity=0
  colors=000ZbQ<3>VEDU8A_EAeGAkIAwKAsI9nG8gE8eC7a67Y66\
  V55T55N44K44<3>QGISILVLP<3>XWaYZeZahZck<3>`Ym`Wm`Vn<\
  3>bPpcNqcMqdKrdJr<3>cKtcKucKu<3>cLycLz`MhXMUXM9<31>R\
  WMRXMQXN<3>QYOVVB<36>QYMQYNQYN<3>QYOdyW<16>UeQTdQTbP\
  <3>QZOswO<32>VaOU`OT`O<3>QYOwtk<8>cgYaeX_dV<3>SZPW_Y\
  <3>TZTSYRRYQQYPBSu<11>HVgIVfIVe<3>KWacm_bq_bu_`nW_hT
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Something          { ; time=0:09:14.86, SF5 on a P200
  reset=2000 type=formula formulafile=jim.frm
  formulaname=Mystic2 function=acos passes=1
  center-mag=-1.16573e-015/8.88178e-016/1.693745/1/-10\
  2.5 params=2.407/-3.318/-3.004/0.497/-1.096/-0.124
  float=y maxiter=180 bailout=25 inside=bof60
  symmetry=none periodicity=0
  colors=000ZbQ<3>VEDU8A_EAeGAkIAwKAsI9nG8gE8eC7a67Y66\
  V55T55N44K44<3>QGISILVLP<3>XWaYZeZahZck<3>`Ym`Wm`Vn<\
  3>bPpcNqcMqdKrdJr<3>cKtcKucKu<3>cLycLz`MhXMUXM9<31>R\
  WMRXMQXN<3>QYOVVB<36>QYMQYNQYN<3>QYOdyW<16>UeQTdQTbP\
  <3>QZOswO<32>VaOU`OT`O<3>QYOwtk<8>cgYaeX_dV<3>SZPW_Y\
  <3>TZTSYRRYQQYPBSu<11>HVgIVfIVe<3>KWacm_bq_bu_`nW_hT
  }

frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "George M.Curtin Jr." <[e-mail]>
Subject: Re: (fractint) AVI
Date: 23 Jan 2000 13:08:00 -0500

Karl,

It's amazing but Winfract (distributed with Fractint in the "Frain 200"
package can do the job for you. First make sure Winfract  is installed and
runs well. Second, using Winfract, 'tunnel" into the Fractint directory and
open one of the GIF files that you want to convert. Once it is open in
Winfract, Execute a file save as command and you will see a drop down menu
titled "save as". Click on it and lo and behold you see "bitmap". If you
don't have Winfract, get it from "spanky.com". Hope this helps.

George Curtin (fellow fractaller)



----- Original Message -----
Sent: Saturday, January 22, 2000 5:11 PM


> Hi ,
>
> could please anybody tell me how to make a fractal AVI?
> I have just tried it the first time,so bear with me.
> I have used the FAE.EXE to create 60 GIFs, but the AVI maker
> wants bitmaps (BMP files).
> Is there an easy way to convert all gifs to BMPs?
> Or to create BMPs in the first round?
>
> Please reply to my personal email.
> Thank you very much!
>
> Karl Scherer
> 11 Utting Str, Auckland, New Zealand
> [e-mail]
> Seen my homepage lately?
> http://www.kiwi.gen.nz/~karl
>
>
> --------------------------------------------------------------
> Thanks for using Fractint, The Fractals and Fractint Discussion List
> Post Message:   [e-mail]
> Get Commands:   [e-mail] "help"
> Administrator:  [e-mail]
> Unsubscribe:    [e-mail] "unsubscribe fractint"



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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 24-01-00 (Indescribable Brot) (c)
Date: 24 Jan 2000 01:03:51 -0500 (EST)


FOTD -- January 24, 2000

Fractal enthusiasts and visionaries:

I tried to think of a name for today's picture.  I failed.  In
the end I decided on the name "Indescribable Brot", which says
more about my inability to find a name than about the image
itself.

The scene is one of a midget in the (-Z)^1.5+C Mandeloid.  The
midget is located in the East Valley area of a larger midget,
(if midgets of order 1.5 can be said to have East Valleys).
Although the scene is pretty well fragmented, there is still
some order amid the chaos, with the pattern around the midget
appearing as though it could be part of an infinite spiral.

The formula behind the image is a very simple one from my file
of Julibrot slices.  This particular midget could be interesting
when seen from other directions.  I may give it a try when I
find a spare moment.

The parameter file runs in less than 3 minutes on a P200 machine
-- just slow enough to make a download of the image more
efficient.  That image may be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was dull and cloudy all day.  The 7cm
snowfall that was forecast turned out to be most unimpressive.
Instead of 7cm we got closer to 7 flakes.  The temperature of
25F (-4C) was still too cold for the fractal cats.

As for our friend Percy Smedley, he's still trying to decide
what part of his room he should paint first.  He's got a real
problem because it's always best to start painting in a corner,
and a four-dimensional room has many different kinds of corners.

Our familiar 3-D rooms have two kinds of corners -- edge corners
where two walls meet and point corners where the edge corners
meet the floor and ceiling.  4-D rooms are far more interesting.
In addition to edge corners where three faces meet and point
corners where four edges meet, 4-D rooms have face corners where
two adjacent wall-cubes meet.  This is a total of 16 point-
corners, 32 line-edges, and 24 plane-faces.  No wonder Percy is
having such difficulty making his decision.

I'll reveal Percy's big decision in tomorrow's discussion.
Until then, take care, and wait with bated, not abated breath.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}

END FORMULA================================================

START PARAMETER FILE=======================================

Indescribable_Brot { ; time=0:02:48:44, SF5 on a P200
  reset=2000 type=formula formulafile=slices.frm
  formulaname=MandelbrotMiN passes=t
  center-mag=+0.58475619114027540/+1.22065898185497500\
  /1.629549e+007/1/60 params=1.5/0/0/0/0/0 float=y
  maxiter=5000 bailout=25 inside=0 logmap=106
  symmetry=none periodicity=10
  colors=000XMfaJdXMfI03J04L06P1FS1MV3T<3>f4vaCpYJlTPg\
  PXcLa_GgVCjQDfPFYPGQPIJOJFOPDOTFY`LfgQooYxvcz0zzP70P\
  upSjl<2>_L_aCVc3STLiL`zCpzi_zcdzYjlSp_MvLIz7PuCXoGci\
  JicOpYQxSVzMYfIdJFl0CrSYjvsc<3>pIYo9Xm0Vm0Vg0aa0gY0m\
  S0sM0yI0zC0z70z6Fz4Sv4dm3rc3zV0zg0ys0vz0uz3mz<3>SLyY\
  Dvc6ri0oiJ1z00m7CaMMQ_XLoSJuPIzO9da0LoIDv_6zp0zz0zlF\
  dS`1O`CJ`MG`VC`d7`o4`xGdySgzajz<2>`7zvIAmTOdd_YplPzx\
  IzzPyyXloa_diLVp7Lv0Cr0Do0Dj0D<2>`0DX0GS7JOGLJQOF_QA\
  gS<2>9YA9V49S0DLDGFPJ9`O1lQ0xT0zQGmOfTLz9XyAgrAsjAzc\
  AzYAzPFsIJgAOX3S<3>iXMlcLoiJs`IvTGsSLrQPpPTmOXlM`jLd\
  iLgJmm0zr0zj0zd1zY<3>Dz9Fz3AzD6zO3zX0zf0zo7zfJz_TzSd\
  zJpzCzz4yz6yz7xz7xz9xz9lzD<2>IzQTzVdzYpz``zudzzizzlz\
  zfzzazzYzzSzz<2>FzzGzzIzoJzaJzPTzc<2>LzmJzpGzuDzxAzz\
  9zzFzzJzzPzzTzz_zzczyizymzyizvfzszz`zz_yz`szamzc
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Indescribable_Brot { ; time=0:02:48:44, SF5 on a P200
  reset=2000 type=formula formulafile=slices.frm
  formulaname=MandelbrotMiN passes=t
  center-mag=+0.58475619114027540/+1.22065898185497500\
  /1.629549e+007/1/60 params=1.5/0/0/0/0/0 float=y
  maxiter=5000 bailout=25 inside=0 logmap=106
  symmetry=none periodicity=10
  colors=000XMfaJdXMfI03J04L06P1FS1MV3T<3>f4vaCpYJlTPg\
  PXcLa_GgVCjQDfPFYPGQPIJOJFOPDOTFY`LfgQooYxvcz0zzP70P\
  upSjl<2>_L_aCVc3STLiL`zCpzi_zcdzYjlSp_MvLIz7PuCXoGci\
  JicOpYQxSVzMYfIdJFl0CrSYjvsc<3>pIYo9Xm0Vm0Vg0aa0gY0m\
  S0sM0yI0zC0z70z6Fz4Sv4dm3rc3zV0zg0ys0vz0uz3mz<3>SLyY\
  Dvc6ri0oiJ1z00m7CaMMQ_XLoSJuPIzO9da0LoIDv_6zp0zz0zlF\
  dS`1O`CJ`MG`VC`d7`o4`xGdySgzajz<2>`7zvIAmTOdd_YplPzx\
  IzzPyyXloa_diLVp7Lv0Cr0Do0Dj0D<2>`0DX0GS7JOGLJQOF_QA\
  gS<2>9YA9V49S0DLDGFPJ9`O1lQ0xT0zQGmOfTLz9XyAgrAsjAzc\
  AzYAzPFsIJgAOX3S<3>iXMlcLoiJs`IvTGsSLrQPpPTmOXlM`jLd\
  iLgJmm0zr0zj0zd1zY<3>Dz9Fz3AzD6zO3zX0zf0zo7zfJz_TzSd\
  zJpzCzz4yz6yz7xz7xz9xz9lzD<2>IzQTzVdzYpz``zudzzizzlz\
  zfzzazzYzzSzz<2>FzzGzzIzoJzaJzPTzc<2>LzmJzpGzuDzxAzz\
  9zzFzzJzzPzzTzz_zzczyizymzyizvfzszz`zz_yz`szamzc
  }

frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 24 Jan 2000 22:40:50 +1300

At 21:55 20/01/2000 -0500, you wrote:
>> i tried the ">" redirect and it still went to console...am i just doing
this
>> wrong?
>
>I haven't looked at the program in question, but I assume that the
redirection
>operators only work on the standard output stream.  Perhaps the program uses
>some other method of output, such as writing to the screen.
>
It may be overkill to use download it _just_ for this, but one of the more
useful features of Programmer's File Editor is "DOS Command to Window". You
type in the command line, and it will run a DOS session, capturing all
writes to screen, and displaying the net result in a new editor window.

The final versions (Windows 3.1, 95/98, NT, 2000) are at

http://www.lancs.ac.uk/people/cpaap/pfe/

Unfortunately PFE's author has gone on to other things :-(. If only I were
a Windows C programmer...

Morgan L. Owens
"C'mon! Pattern matching! Please!"



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-------------------------------------------------------------------------------

From: [e-mail]
Subject: Re: (fractint) Colour Map Recognition, dos help
Date: 24 Jan 2000 21:35:29 EST

Thanks, in frustration i downloaded a program called CloneMaster which worked
very well.

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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 25-01-00 (Juju Mandel Midget) (c)
Date: 25 Jan 2000 01:15:59 -0500 (EST)


FOTD -- January 25, 2000

Fractal enthusiasts and visionaries:

There's Juju afoot.  When I saw today's fractal I thought at
once of an African ceremonial mask.  The name "Juju Mandel
Midget" came to mind for no apparent reason, and the name stuck.

The formula behind the image is a very simple Z+1/Z+C, a formula
that seems ready to draw little more than a blank screen or a
circle, but draws unexpectedly rich fractals.

The parameter file is a very fast one, but if you would rather
download the finished image, that image can be found posted to
Usenet at:

          <alt.binaries.pictures.fractals>

and to the World-Wide Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was about average, with partly cloudy
skies and a temperature of 36F (2C) that was still too chilly
for the fractal cats, but warm enough to melt a little of the
snow.  And speaking of snow, a blizzard is forecast for
tomorrow, with 12inches (30cm) or more by evening.  But our
local weather experts are notoriously bad at forecasting snow,
so we'll see how it goes.

All is going well with Percy Smedley, our four-dimensional
painter with a 4-D room to paint.  Unfortunately, I found no
time today to observe his actions.  I'll try again tomorrow.
Until then, take care and, don't get snowed under by a backlog
of fractals.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Juju_Mandel_Midget { ; time=0:00:41.02 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.91192106626604100/0.0/1220.514
  params=1/-1/1/1/0/0 float=y maxiter=1750 bailout=25
  inside=0 outside=real logmap=yes
  symmetry=xaxis periodicity=0
  colors=000PIn<2>H6Peky<3>KCQx31<2>Q3D2jv<3>ALZCFTPKP\
  UPORLN<3>KALI8LG5KF3Kb5crpJE1Er2FF2FFcGF2G<2>F3HrZxp\
  VthRscNg<3>K7MLzf<3>GFMAaV<3>EELF8JpOgWcTNLNaEG<3>M6\
  HI4HXCkg`LYPJOEIDL2<3>ECAF9CF7EF5GBB78Ap<2>E4Q`0v<2>\
  K3R5cE7ZF8UF<3>DUHEUHrWmZXXTYEDZW<3>EbOFcMFcKFcILciI\
  cVGcW<2>FcKyc6acC5cC<2>DcGCcO<3>FcIhc39c8<3>EbGMcA<3\
  >GgGohvAic<2>ElMDmQ<3>EqLFrKFsJFtIhuP<2>MxJ2y1<3>DzE\
  1zm<3>DzN9zJBzIDzHIzdGzTQzxMziIzV6zC<3>BzFCzGDzGEzHV\
  zKVzJ<3>LzHJzHHzHwzd<3>OzLPzc<3>KzSIzPHzMGzJEzyFzbtz\
  E<2>PzH3zV<3>AzNCzLEzJ1zndzhWzZNzQ8zd<3>EzLPzB<3>KzE\
  IzFHzGGzH3zB<3>AzFCzGEzHHzk<3>FzNhz2<3>PzCKzFmze<5>K\
  zKSzw
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Juju_Mandel_Midget { ; time=0:00:41.02 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.91192106626604100/0.0/1220.514
  params=1/-1/1/1/0/0 float=y maxiter=1750 bailout=25
  inside=0 outside=real logmap=yes
  symmetry=xaxis periodicity=0
  colors=000PIn<2>H6Peky<3>KCQx31<2>Q3D2jv<3>ALZCFTPKP\
  UPORLN<3>KALI8LG5KF3Kb5crpJE1Er2FF2FFcGF2G<2>F3HrZxp\
  VthRscNg<3>K7MLzf<3>GFMAaV<3>EELF8JpOgWcTNLNaEG<3>M6\
  HI4HXCkg`LYPJOEIDL2<3>ECAF9CF7EF5GBB78Ap<2>E4Q`0v<2>\
  K3R5cE7ZF8UF<3>DUHEUHrWmZXXTYEDZW<3>EbOFcMFcKFcILciI\
  cVGcW<2>FcKyc6acC5cC<2>DcGCcO<3>FcIhc39c8<3>EbGMcA<3\
  >GgGohvAic<2>ElMDmQ<3>EqLFrKFsJFtIhuP<2>MxJ2y1<3>DzE\
  1zm<3>DzN9zJBzIDzHIzdGzTQzxMziIzV6zC<3>BzFCzGDzGEzHV\
  zKVzJ<3>LzHJzHHzHwzd<3>OzLPzc<3>KzSIzPHzMGzJEzyFzbtz\
  E<2>PzH3zV<3>AzNCzLEzJ1zndzhWzZNzQ8zd<3>EzLPzB<3>KzE\
  IzFHzGGzH3zB<3>AzFCzGEzHHzk<3>FzNhz2<3>PzCKzFmze<5>K\
  zKSzw
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: <[e-mail]>
Subject: Re[2]: (fractint) Quickie post par
Date: 25 Jan 2000 10:52:59 -0500


--simple boundary
Content-Type: text/plain; charset=ISO-8859-1
Content-Transfer-Encoding: 7bit
Content-Description: "cc:Mail Note Part"

here is the formula.  in the future i will post the formulas.

JDG-7-01c {; Formula by Jim Deutch, Modified Sylvie Gallet frm
           ; image and 60 deg rotation w/ palette divided
  j = -0.5 + flip(0.5*sqrt(3)), j2 = conj(j)
  IF (whitesq)
    z = pixel
  ELSE
    z = -j2*pixel
  ENDIF
  :
  x = z*j , y = z*j2
  x1 = x - p1*fn1(y + fn2(p2*z))
  y1 = y - p1*fn1(z + fn2(p2*x))
  z1 = z - p1*fn1(x + fn2(p2*y))
  z = z1 + x1*j + y1*j2
  t1 = (|z| <= 32)
  t = t1 || (whitesq == (imag(z) >= 0))
  IF (t==0)
    z = conj(z)
  ENDIF
  t1
  ;SOURCE: sgjdg701.par
}



____________________Reply Separator____________________
Author: <[e-mail]>

Where can I find, or can you send me the jdc-7-01c formula? I am unable to
find it in my frm folder.

Thanks,

Mitch B.

"The destination is not that rewarding if you have not had the experience of
the journey".  Jimmy Buffett


>From: [e-mail]
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) Quickie post par
>Date: Fri, 21 Jan 2000 21:42:06 EST
>
>jest a couple of pars i really enjoyed.  The GiraSol series was just some
>quick evolver investigations into the formula jdg-7-01c.
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 26-01-00 (Fractal Tetragon) (c)
Date: 25 Jan 2000 21:19:16 -0500 (EST)


FOTD -- January 26, 2000

Fractal enthusiasts and visionaries:

How could I have doubted the weather experts.  Last evening they
forecast a blizzard and today we are having a blizzard.  The
heavy snow of this morning was followed by very heavy snow this
afternoon, and by whiteout conditions this evening, accompanied
by roaring winds, pink lightning and rolling thunder.  It is
currently snowing so heavily that the individual flakes have
blended into a fog, which has cut visibility to under 100 feet
(30 meters).

The temperature is 22F (-5.6C); the wind is north at 30mph
(50kph); the snow depth is currently 22 inches (56cm), and
accumulating at a rate of 2 inches (5cm) per hour.  And the
snowdrifts are already over one's head.

Obviously, it's a perfect day for fractals.  Early this after-
noon I gave up trying to keep the driveway clear, and retired to
my P200 computer to find a fractal.  The one I found appears as
today's FOTD.  It is a midget that lies in the fractal that
results when Z^2.501 is subtracted from Z^2.499.

I named the picture "Fractal Tetragon".  A tetragon is another
name for a square, and today's midget is surrounded by an
unusual square pattern.  (An octagon with pincushion distortion
lies inside the square, but we'll ignore that for now.)

I gave the tetragon a rather hasty coloring and declared it
Fractal of the Day.  The parameter file is slow enough to make a
download the better way of viewing the image.  That image has
hopefully been posted to:

          <alt.binaries.pictures.fractals>

and to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

from where it may be picked up with a minimum of hassle.

The telephone circuits are totally jammed, so I might have
difficulty getting the image posted, but by post time, things
should have slacked off a bit.

The fractal weather we've already discussed; I'm a bit too dis-
tracted to do justice to Percy Smedley's four-dimensional paint
job, so I guess that nothing remains but to say, until next
time, take care, and if you're along the northeast coast of the
USA, don't get snowed under.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Fractal_Tetragon   { ; time=0:06:46.22 SF5 on a P200
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.70480792579755/-0.01018641669925502/15\
  94105/1/-147.499 params=1/2.499/-1/2.501/100/0
  float=y maxiter=1750 bailout=25 inside=0 logmap=93
  symmetry=xaxis periodicity=0
  colors=0008Jk<4>3Jk<3>G_iJciMhh<3>Yxg<6>SWjRSjQOj<3>\
  N8k<4>JGVIHSHJP<2>FNFFOCFOC<9>GHBGGBGFB<3>GCBa8hi9fm\
  9ep9dm9cl9bnFYpKToKT<3>lcSkhSjmSjrSisR<8>bvQawPawP<2\
  >ZxPZxP_vO<12>aYMaWMbUM<3>bNMJeY<3>NUWORWPOW<3>celgj\
  pjnt<8>hprhprhpr<2>hprhprjqn<3>pqbrrZsrW<3>yrK<3>1kT\
  <3>LsRQuQUwQJta9rl<5>Nk`PiZRhX<3>_dP<3>jJImDGo8F<3>f\
  4Wc3_a2c_1gY0k<3>lC_oFXsIUvKS<8>neGmgEmjD<2>jq9is8it\
  7fuZ<3>jyQkzOlzM<3>ozDpzBqz9rz7rz5<3>Dz`3zh7ze<3>NzV\
  RzTVzQZzNbzL<3>RzZOzbLzeJzh<9>9zj
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Fractal_Tetragon   { ; time=0:06:46.22 SF5 on a P200
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.70480792579755/-0.01018641669925502/15\
  94105/1/-147.499 params=1/2.499/-1/2.501/100/0
  float=y maxiter=1750 bailout=25 inside=0 logmap=93
  symmetry=xaxis periodicity=0
  colors=0008Jk<4>3Jk<3>G_iJciMhh<3>Yxg<6>SWjRSjQOj<3>\
  N8k<4>JGVIHSHJP<2>FNFFOCFOC<9>GHBGGBGFB<3>GCBa8hi9fm\
  9ep9dm9cl9bnFYpKToKT<3>lcSkhSjmSjrSisR<8>bvQawPawP<2\
  >ZxPZxP_vO<12>aYMaWMbUM<3>bNMJeY<3>NUWORWPOW<3>celgj\
  pjnt<8>hprhprhpr<2>hprhprjqn<3>pqbrrZsrW<3>yrK<3>1kT\
  <3>LsRQuQUwQJta9rl<5>Nk`PiZRhX<3>_dP<3>jJImDGo8F<3>f\
  4Wc3_a2c_1gY0k<3>lC_oFXsIUvKS<8>neGmgEmjD<2>jq9is8it\
  7fuZ<3>jyQkzOlzM<3>ozDpzBqz9rz7rz5<3>Dz`3zh7ze<3>NzV\
  RzTVzQZzNbzL<3>RzZOzbLzeJzh<9>9zj
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 27-01-00 (A Super Quickie) (c)
Date: 27 Jan 2000 00:55:21 -0500 (EST)


FOTD -- January 27, 2000

Fractal enthusiasts and visionaries:

Today's fractal is a super quickie, both in the time I took to
find it and the time it takes to render.  That's why I gave it
the name "A Super Quickie".  I make no unwarranted claims for
the artistic level of the finished product, nor for its
mathematical importance.

The expression that was calculated by the M-Mix4 formula to
produce today's FOTD is 3*(Z^(-4))-2Z+C.  I spent about 15
seconds entering the parameters and all of three minutes finding
the midget.  The image rendered in 30 seconds, making a total of
less than four minutes from boot-up to finished fractal, and
believe me, nothing even close to art can be produced in that
time in such a production-line manner.

The cut-off midget is typical of the disconnected midgets that
appear in fractals that are not connected.  It lies in a tiny
isolated spot in the East Valley area of the parent fractal.
The cut-off nature of the midget is reflected in the cut-off
nature of its surrounding features.

The parameter file is very fast, while the download is not quite
as fast, but a lot more convenient.  The JPEG image can be found
ready for download on Usenet at:

          <alt.binaries.pictures.fractals>

and on the Web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

I had so little time to devote to fractal hunting today because
I spent most of the day shoveling snow from the fractal
driveway.  The weather was partly cloudy with a temperature of
30F (-1C).  The fractal cats did venture onto the porch for a
few seconds to see what all the white stuff was.  But the cold
and snow was too much for them, and their noses were back inside
before their tails were out.

Our four-dimensional friend, Percy Smedley, is an artist as well
as a painter, and it just happens that he is interested in
fractals.  Having two extra walls and one extra dimension to
dispose of, he decided to paint a picture of the Z^2+C Julibrot
onto one of the walls.  I'll describe the thing he painted in
the next FOTD, which is only 24 hours away.

Until then, take care, and fractals are everywhere.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

A_Super_Quickie    { ; time=0:00:29.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+3.93763929419721800/+2.84864640310647800\
  /986022.6/1/125 params=-2/1/3/-4/0/0 float=y
  maxiter=175 bailout=25 inside=0 logmap=16
  symmetry=none periodicity=0
  colors=000mmummu<3>quwrwxITSPWYW`bbfhhpmpvse88<12>kS\
  SkTTkVV<3>m__E`O<2>BcP<8>MhYNiZPj_<4>TlcUldWme<13>ku\
  rlusnvt<3>rxxzDy<3>zXxz`xzex<2>ztxzuf<3>zwrzxuzzb<21\
  >zxszxtzxu<3>zxxzwS<18>zxpzxqzxr<3>zxwz_V<79>zvvzwvz\
  ww<3>zxxz5f<20>zit
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

A_Super_Quickie    { ; time=0:00:29.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+3.93763929419721800/+2.84864640310647800\
  /986022.6/1/125 params=-2/1/3/-4/0/0 float=y
  maxiter=175 bailout=25 inside=0 logmap=16
  symmetry=none periodicity=0
  colors=000mmummu<3>quwrwxITSPWYW`bbfhhpmpvse88<12>kS\
  SkTTkVV<3>m__E`O<2>BcP<8>MhYNiZPj_<4>TlcUldWme<13>ku\
  rlusnvt<3>rxxzDy<3>zXxz`xzex<2>ztxzuf<3>zwrzxuzzb<21\
  >zxszxtzxu<3>zxxzwS<18>zxpzxqzxr<3>zxwz_V<79>zvvzwvz\
  ww<3>zxxz5f<20>zit
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 28-01-00 (Disorder) (c)
Date: 28 Jan 2000 02:42:15 -0500 (EST)


FOTD -- January 28, 2000

Fractal enthusiasts and visionaries:

I named today's fractal "Disorder".  I gave it this name because
the picture takes the disorder of seemingly total chaos and
makes it into a recognizable Mandelbrot scene.

I could just as well have named the picture 'Now you see it; now
you don't'.  The pattern around the midget has a strange
tendency to totally vanish if the color palette is not set just
right.  A small amount of color cycling will reveal this
tendency, and change the picture into a nearly featureless mass
of fractal sand.

The parameters that I entered into my warhorse formula were
chosen on a whim.  The color palette was as good as I could do
in the little bit of time I had to devote to fractals.

The parameter file is relatively slow, making a download of the
image by far the better choice.  For today only, the image is
posted in GIF format.  The standard JPEG format caused too much
degradation.  The image may be found posted to the binary Usenet
group:

          <alt.binaries.pictures.fractals>

and to the web at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

Fractal Central is still basically snowbound.  The fractal
weather today was sunny but very cold and windy, with a
temperature of 12F (-11C) that removed all thoughts of going
outside from the minds of the fractal cats.  But they had their
day's excitement this afternoon, when a large pile of snow slid
from the roof and landed outside their sunny window with an
earth-shaking thump.  Unfortunately some rain gutter came down
with the snow, which did nothing for my fractal temperament.

We left Percy Smedley, the fractal painter, painting a picture
of the Julibrot in the 3-D surface of his wall.  Although his
painting is three-dimensional, it is still only a picture, a
projection of the actual four-dimensional figure.  But even so,
it can be fit into our 3-D space.

Does this mean that we could visualize the 4-D Julibrot by
studying a 3-D picture of it?  No it does not, for we cannot
view the 3-D picture in the proper manner.  Regardless of the
angle from which we viewed the picture, we would be looking at
it edge-on.  Our view would be like holding a flat photograph
edge-on and viewing it in that manner.  Our minds would
interpret what we saw as only a 3-D object.  To get a proper
view of Percy's picture, we would need to see every point of its
solid interior at a single glance, and this can be done only
from the direction that is perpendicular to our 3-space.
However, even the edge-on view of the 3-D projection of the 4-D
Julibrot is interesting, with its convolutions and its parabolic
tendrils shooting off to infinity.

While I'm trying to visualize what I just described, I'd best
shut down the fractal shoppe for another day.  Until tomorrow,
take care, and don't let the lack of a dimension make you flat.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Disorder           { ; time=0:24:27.34 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+4.67250477271021100/+0.49840999691577580\
  /77477.38/1/-177.499 params=0.15/1.5/-1.5/-0.15/3/0
  float=y maxiter=32000 bailout=25 inside=0 logmap=228
  symmetry=none periodicity=10
  colors=000QaSQaSQaTQaTQcVQcVQcXQcXQdYQd_Qd_Qd`Pf`Pfa\
  PfaPfcPgcPgdPgdPgfPifPigPiiPiiPjjPjjPjlPjlOlmOlmOloO\
  loOmpOmpOmrOmsOosOouOouOovOpvOpxOpxOpyMry<4>MszMszMs\
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  Tg`SgSSgJQgCQg3Pg0Qg0<4>Og0QgPSgOQgPQgQQgQ
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Disorder           { ; time=0:24:27.34 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+4.67250477271021100/+0.49840999691577580\
  /77477.38/1/-177.499 params=0.15/1.5/-1.5/-0.15/3/0
  float=y maxiter=32000 bailout=25 inside=0 logmap=228
  symmetry=none periodicity=10
  colors=000QaSQaSQaTQaTQcVQcVQcXQcXQdYQd_Qd_Qd`Pf`Pfa\
  PfaPfcPgcPgdPgdPgfPifPigPiiPiiPjjPjjPjlPjlOlmOlmOloO\
  loOmpOmpOmrOmsOosOouOouOovOpvOpxOpxOpyMry<4>MszMszMs\
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  Jx9LxALyALzCL<2>zDLzDLzFLzFLzGLzILzLLzOJzQJyTIvXIs_I\
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  >CgSDgTFgTFgVGgXIgYJg_Lg_Mg`OgaOgcPgdQgdSgfTggVgiVgi\
  Tg`SgSSgJQgCQg3Pg0Qg0<4>Og0QgPSgOQgPQgQQgQ
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 29-01-00 (Patchwork Fractal) (c)
Date: 28 Jan 2000 23:07:30 -0500 (EST)


FOTD -- January 29, 2000

Fractal enthusiasts and visionaries:

Today's fractal is . . . well . . . different.

Sometimes I suspect that all my quadratic midgets are basically
the same.  Oh, the patterns around them might vary somewhat, but
the overall picture is basically unchanged.  Today's fractal
midget laid my suspicions to rest.

I named the image "Patchwork Fractal".  It's a fair name, since
the picture resembles a patchwork quilt perhaps more than
anything else.  Instead of an orderly palette of colors, we have
the wildest jumble of color imaginable, yet in the midst of this
madness there is order.  There are four straw-colored patches
arranged in a kind of symmetry, and four greenish arms spiral-
ling inward, among countless other symmetries.

The expression that was calculated by the MandelbrotMix4 formula
to produce today's FOTD is 0.13(Z^3)-25(Z^-23)+C -- another
unlikely combination.

The parameter file runs in six minutes; the JPEG image file
downloads in two minutes.  The choice is up to the viewer.  The
image may be found at:

          <alt.binaries.pictures.fractals>

and also at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather was sunny and just slightly warmer today,
with a temperature of 23F (-5C), which combined with the deep
snow pack to keep the fractal cats indoors.  And believe it or
not, the TV weather experts are telling of another big snowfall
come Sunday.

Our fractal friend Percy the painter also spent the day indoors,
passing the time pondering the picture of the Julibrot figure
that he just painted in the wall of his room.  I suspect that
he'll hang a four-dimensional model of the Julibrot from the
ceiling when he finishes the painting, but only time will tell
how he decides to decorate his room.

If I were Percy, I would have decorated the six walls of my room
with pictures of the six regular 4-D hypersolid figures.  But
since I am not Percy, I can only describe these figures.  I'll
begin with figure number one tomorrow.  Until then, take care,
and be at peace.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Patchwork_Fractal  { ; time=0:06:33.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+1.10815017952117200/+0.12954995055820110\
  /769764.8/1/39.999 params=0.13/3/-25/-23/0/0 float=y
  maxiter=1400 bailout=25 inside=0
  logmap=58 symmetry=none periodicity=10
  colors=000fBR<4>ZDTYEUWEU<3>QFV<3>ebXihYmnYpsYlVT<3>\
  _ZCW_8TK4QN0<3>HbKFfPDjUBmY<9>NsnPtoQtq<3>UvwYooqVhm\
  UakOQdNEzvWurYtnZnk_<5>jQfiMghIi<2>f7lf4mg7j<8>pSQqV\
  NrXL<3>veC<6>gT6eR5cP4<3>WI1<5>ODBMCDLBF<3>G8L<4>XF`\
  _HdbIg<3>oNs<9>XSeVTdTTc<2>NV_MVZMSa<3>MHm<3>YSe`Vcc\
  Ya<3>ngUBD4<13>P6NQ6PR5Q<3>V4V<8>iZMkaLmeK<3>srH<16>\
  tMbtKctId<3>tBi<3>xCgyCgzCf<7>zDczDczDbzDb<15>zJPzJO\
  zJN<3>zKKzAQzAQzBR
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Patchwork_Fractal  { ; time=0:06:33.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+1.10815017952117200/+0.12954995055820110\
  /769764.8/1/39.999 params=0.13/3/-25/-23/0/0 float=y
  maxiter=1400 bailout=25 inside=0
  logmap=58 symmetry=none periodicity=10
  colors=000fBR<4>ZDTYEUWEU<3>QFV<3>ebXihYmnYpsYlVT<3>\
  _ZCW_8TK4QN0<3>HbKFfPDjUBmY<9>NsnPtoQtq<3>UvwYooqVhm\
  UakOQdNEzvWurYtnZnk_<5>jQfiMghIi<2>f7lf4mg7j<8>pSQqV\
  NrXL<3>veC<6>gT6eR5cP4<3>WI1<5>ODBMCDLBF<3>G8L<4>XF`\
  _HdbIg<3>oNs<9>XSeVTdTTc<2>NV_MVZMSa<3>MHm<3>YSe`Vcc\
  Ya<3>ngUBD4<13>P6NQ6PR5Q<3>V4V<8>iZMkaLmeK<3>srH<16>\
  tMbtKctId<3>tBi<3>xCgyCgzCf<7>zDczDczDbzDb<15>zJPzJO\
  zJN<3>zKKzAQzAQzBR
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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Post Message:   [e-mail]
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-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 30-01-00 (Frosty Minibrot) (c)
Date: 30 Jan 2000 01:27:26 -0500 (EST)


FOTD -- January 30, 2000

Fractal enthusiasts and visionaries:

I awoke this morning to frost on the window panes.  The frost
melted as soon as the heat came on, but when I saw today's
feathery midget, I was reminded of those feathery patterns that
oh so briefly decorated my windows.  I immediately named the
picture "Frosty Minibrot".

The scene is part of the fractal that results when Z^363 is
subtracted from Z^365 and the difference multiplied by a factor
of 972.  Due to the extremely delicate nature of its features,
this fractal should be calculated at a resolution of at least
1024x768.  At that resolution the parameter file renders in 13
minutes -- slow enough to make the download the better choice.
The image may be found ready for easy downloading at:

          <alt.binaries.pictures.fractals>

and at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was sunny and 32F (0C), still too cold
and snowy for the fractal cats to venture out of doors.  Another
snow and ice storm is due tomorrow, so I suppose the cats will
be housebound for quite a while.

Yesterday, we left Percy Smedley pondering his bare walls.
We'll leave him there again today while I work up a discussion
of the six regular polytopes in four-dimensional space.  I also
must work up a bit of action for the philofractal list, which is
once again playing dead.

While I'm working up the action, take care, and the more one
wonders, the more one searches; the more one searches, the more
one knows.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Frosty_Minibrot    { ; time=0:12:57.75 SF7 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.99700518618206060/+0.00004996484224636\
  /282064.3/1/42.5 params=1/365/-1/363/971/0 float=y
  maxiter=1000 bailout=25 inside=0 logmap=20
  symmetry=xaxis periodicity=10
  colors=000DA6CB6CCACDACEFCFK<6>BMRBNSBOT<3>BTX<3>NY`\
  QZaS`b<2>`cccecdfc<8>ipciqcjrc<2>kuckvclwelxgmyimzl<\
  3>ozmozmozm<2>czl<2>Szb<9>OzSOzROzQ<3>NzMPzNRzO<7>_z\
  T`zUazU<3>ezXfzOgzX<13>uzTvzTwzTxzTyzT<3>zzSzzRzzRzz\
  RzzRzzQ<20>zzezzfzzg<3>zzi<9>zzJzzGzzD<3>zz3<8>zzPzz\
  RzzU<3>zzc<20>zzZzzZzzZzzZzzZzzX<6>zzgzzizzj<3>zzp<7\
  >zzQzzMzzJ<3>zz6<21>zza
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Frosty_Minibrot    { ; time=0:12:57.75 SF7 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.99700518618206060/+0.00004996484224636\
  /282064.3/1/42.5 params=1/365/-1/363/971/0 float=y
  maxiter=1000 bailout=25 inside=0 logmap=20
  symmetry=xaxis periodicity=10
  colors=000DA6CB6CCACDACEFCFK<6>BMRBNSBOT<3>BTX<3>NY`\
  QZaS`b<2>`cccecdfc<8>ipciqcjrc<2>kuckvclwelxgmyimzl<\
  3>ozmozmozm<2>czl<2>Szb<9>OzSOzROzQ<3>NzMPzNRzO<7>_z\
  T`zUazU<3>ezXfzOgzX<13>uzTvzTwzTxzTyzT<3>zzSzzRzzRzz\
  RzzRzzQ<20>zzezzfzzg<3>zzi<9>zzJzzGzzD<3>zz3<8>zzPzz\
  RzzU<3>zzc<20>zzZzzZzzZzzZzzZzzX<6>zzgzzizzj<3>zzp<7\
  >zzQzzMzzJ<3>zz6<21>zza
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"


-------------------------------------------------------------------------------

From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 31-01-00 (Seven Down) (c)
Date: 30 Jan 2000 23:53:09 -0500 (EST)


FOTD -- January 31, 2000

Fractal enthusiasts and visionaries:

Today's midget lies hidden in the fractal that results when
Z^0.7 is subtracted from Z^0.6 and the difference multiplied by
11 before adding C.  It's a different little midget, with eight
long, narrow filigree arms radiating outward and finally
curling into vague numeral sevens before terminating.

Well, actually only half the arms terminate.  The other half
continue beyond the bounds of the picture into worlds unknown.
I named the little picture "Seven Down" when I heard the words
"third and two" coming from the TV set in the next room.  I'm
not actually watching the big stuporbowl game, but whenever I
hear a cheer go up, I check to see what happened.

The parameter file is a relatively quick 2-1/2 minute one.  The
download is even quicker.  The image may be found ready for
downloading at:

          <alt.binaries.pictures.fractals>

And also at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather suffered a setback today, as a combination
of snow, sleet and freezing rain left 4 more inches of various
forms of frozen water on top of the old ice.  The temperature of
25F (-4C) was far too cold for the sensitive fractal cats, who
spent the day moving from one radiator to another.

It was ideal for our four-dimensional friend Percy Smedley
however.  He has finally finished decorating the north wall of
his room.  On that wall he painted a picture of the simplest of
all four-dimensional regular solids, an object I'll call a
pentahedroid.  The pentahedroid is the analog of the triangle
and tetrahedron, consisting of 5 points, 10 edges, 10 faces, and
5 tetrahedron cells.

A tetrahedron is formed by attaching an extra triangle to the
three edges of an existing triangle and rotating the triangles
around those edges until they come together in the third
dimension.  A pentahedroid is formed by attaching an extra
tetrahedron to the four faces of an existing tetrahedron and
rotating the tetrahedrons around those faces until they come
together in the fourth dimension.  Just as is the case when
triangles are rotated until they form a tetrahedron, the
rotation of the tetrahedrons to form a pentahedroid is done with
no stretching, bending or distortion.

The boundary of the pentahedroid consists of the interiors of
its five tetrahedron cells.  But we must not think of the
interiors of the tetrahedrons as giving thickness to the walls
of the pentahedroid.  Every point within the interiors of the
tetrahedrons, no matter how deeply buried, is in contact with
both the inside and outside of the pentahedroid.

The simplest three-dimensional projection of the entire
pentahedroid resembles a tetrahedron with lines drawn inward
from the four corners until they meet in a point at the center.
The three-dimensional slices of the pentahedroid are either
tetrahedrons or triangular prisms, depending on whether the
slice splits the five points of the pentahedroid four-one or
three-two.

Tomorrow, our friend Percy will decorate the south wall of his
room with a picture of a four-dimensional cube, sometimes called
a tesseract.  I'll tell you then how he makes out.

For now, it's time to shut down the fractal shoppe and call it
an icy night.  Until next time, take care, and be ever aware.


Jim Muth
[e-mail]


START FORMULA==============================================

MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END FORMULA================================================

START PARAMETER FILE=======================================

Seven_Down         { ; time=0:02:20.88 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=-0.89641524025185240/-0.07776184525423513\
  /8.23139e+009/1/102.5 params=-1/0.7/1/0.6/10/0
  float=y maxiter=1400 bailout=25 inside=0 logmap=101
  symmetry=none periodicity=10
  colors=000A0U<3>A0RA0QA0PA0OA0NB0MC2L<3>JDHLGFOID<3>\
  WP7YR5_S4cW6i_8mc9qfBtjCwnEzpF<3>ngJjeKfcL<2>WXNSVOP\
  RP<2>GIR<2>OGVRGWUIX<3>cNafObhPd<3>sQhuQi_Vn`WkaXhaY\
  W<2>c`NcaNd`NecMefLfjIfnFgrCgtAtuK<3>oqWnpZmoalndkog\
  juj<4>mwinxioxh<2>qzhqzhoxi<3>hpkgnkellcjlbhm<3>Wco<\
  3>PgqOhqMirKjr<2>ImpHnoHonHpm<4>FuhFvgEwfExeEyd<7>Bz\
  XBzWAzV<3>9zR1z09zQ<19>2z62z51z4<3>0z0szy<38>8z97z86\
  z6<3>1z1pz5<21>Cz1Az19z0<3>1z0Dz1<5>Az0
  }

END PARAMETER FILE=========================================

START 20.0 PAR-FORMULA FILE================================

Seven_Down         { ; time=0:02:20.88 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=-0.89641524025185240/-0.07776184525423513\
  /8.23139e+009/1/102.5 params=-1/0.7/1/0.6/10/0
  float=y maxiter=1400 bailout=25 inside=0 logmap=101
  symmetry=none periodicity=10
  colors=000A0U<3>A0RA0QA0PA0OA0NB0MC2L<3>JDHLGFOID<3>\
  WP7YR5_S4cW6i_8mc9qfBtjCwnEzpF<3>ngJjeKfcL<2>WXNSVOP\
  RP<2>GIR<2>OGVRGWUIX<3>cNafObhPd<3>sQhuQi_Vn`WkaXhaY\
  W<2>c`NcaNd`NecMefLfjIfnFgrCgtAtuK<3>oqWnpZmoalndkog\
  juj<4>mwinxioxh<2>qzhqzhoxi<3>hpkgnkellcjlbhm<3>Wco<\
  3>PgqOhqMirKjr<2>ImpHnoHonHpm<4>FuhFvgEwfExeEyd<7>Bz\
  XBzWAzV<3>9zR1z09zQ<19>2z62z51z4<3>0z0szy<38>8z97z86\
  z6<3>1z1pz5<21>Cz1Az19z0<3>1z0Dz1<5>Az0
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


Thanks for using Fractint, The Fractals and Fractint Discussion List
Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"


-------------------------------------------------------------------------------

From: "Rupert Millard" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, I've updated my program
Date: 31 Jan 2000 13:42:18 GMT

Hello all,
          You can download my compressed duplicate colour map
program at:

http://www.geocities.com/kangarupert/multimap.html

This new version only displays duplicates if they genuinely are duplicates.
I hope it is useful to you all. If you have any problems, e-mail me either
through the group or to [e-mail]
I am planning to put in a later version an organisation feature, which will
put them in directories according to their 'bandyness' and 'stripeyness'

From,
Rupert
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From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 01-02-00 (Outlined Minibrot) (c)
Date: 31 Jan 2000 22:56:56 -0500 (EST)


FOTD -- February 01, 2000

Fractal enthusiasts and visionaries:

Today's fractal must be rendered at a resolution of at least
1024x768.  At anything less than that it falls apart.  This
should be no problem, as the parameter file runs in less than
2-1/2 minutes at 1024x768 even on a modest Pentium 200mhz.  The
draw time is calculated at the higher resolution.

Also, starting today I will discontinue attaching separate
formula and parameter files with the FOTD.  These items are
merely adding unnecessary length, and I doubt if anyone who
reads the FOTD is using a version of Fractint so old that it
cannot read the combined par-formula file.

Today's fractal is a nice, (what does that mean), attractive
one.  From a distance it rather resembles an opening lotus
blossom.  From close up the delicate tracery of spiderweb
filaments becomes visible.  The image was created with the
M-Mix4 formula calculating a critical point of the expression
100(Z^101)-0.5(1/Z)+C.  I named the picture "Outlined Minibrot"
because of the wavy outlines surrounding the central midget.  As
I mentioned earlier, the image must be rendered at a minimum
resolution of 1024x768, and as always, the JPEG version, which
has been reduced to a resolution of 640x480, has been posted to:

          <alt.binaries.pictures.fractals>

and to:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

The fractal weather today was much improved, with warm sunshine
and a temperature of 35F (1.5C).  There is still about one meter
of snow on the ground and piles of snow 2 meters high lining
almost every street, however.  Thus the fractal cats didn't even
think of going outdoors.

Our hyperfriend Percy has now decorated the south wall of his
room with a picture of a hypercube, which is sometimes called a
tesseract.  (No, he did not render it in the cubist style,
though that style was invented in an effort to visualize the
fourth dimension, a hopeless task that was quite trendy in the
early 20th century.)

The hypercube is the analog of the cube, just as the
pentahedroid is the analog of the tetrahedron.  To construct a
hypercube an extra cube must be attached to all six faces of a
given cube, and an additional cube attached to the outward face
of one of the extra cubes, making eight cubes in all.  This
assemblage may then be folded in the fourth dimension until the
six extra cubes come together, forming a hyperbox with an open
lid.  Then the final cube can be dropped down to close the box
and complete the hypercube.

The simplest three-dimensional projection of a hypercube appears
as a cube with a smaller cube inside it, with the corresponding
vertices connected.  When this model is studied, it can be seen
that the hypercube consists of 16 vertex-points, 32 line-edges,
24 plane-faces, and 8 cubical-cells.  At every vertex 4 edges,
6 faces and 4 cubical cells meet.  At every edge 3 faces and
3 cells meet.  At every face 2 cells meet.

The many three-dimensional slices of the hypercube are beyond
complete description.  But briefly, if a hypercube were to
suddenly intersect our 3-space, it would most likely be
vertex-first.  In this case, we would see a point appear, which
would grow into a 4-sided pyramid, which would increase in size
until the next vertex passed through our space.  If the
hypercube cut our space edge-on, we would see a line appear,
which would spread into a thickening triangular prism.  If it
cut our space face-on, we would see a flat square appear, and if
it entered our space cell-on, we would see a perfect cube
suddenly appear from nowhere, persist for a few moments, then
vanish as suddenly as it appeared.

This technical description of course will never enable one to
mentally picture a hypercube, but the monstrous thing does exist
mathematically, and the various three-dimensional slices can be
materialized and comprehended with the normal senses.

And now I comprehend that it's time to shut down the fractal
shoppe for another evening and call it a night.  Until tomorrow,
when we'll see what Percy does with the east wall of his room,
take care, and if four-dimensional water has a specific gravity
of one, how much would a hypercubic centimeter weigh in our 3-D
space?


Jim Muth
[e-mail]


START 20.0 PAR-FORMULA FILE================================

Outlined_Minibrot  { ; time=0:02:26.32, SF7 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.52850051383863540/+0.94390281788545130\
  /1.622702e+008/1/57.5 params=100/101/-0.5/-1/0/0
  float=y maxiter=1000 bailout=25 inside=0 outside=summ
  logmap=18 symmetry=xaxis periodicity=10
  colors=000A7C4ppzKKrUX<2>`wvVwVPw3<2>SYOzm0PUUMXUOQX\
  QczSczMczHQV5VuCXRuPnWW`dwjTpbIiVYvdKPtegrN8zFOfU3IH\
  EBDNFAVJobr<2>IbV3YS<2>6cOCecIgI<2>9mMroz<2>JuXMwS<2\
  >AzOCz6AzC8zIfzt<2>GzVvzKKzp<2>AzUoznTz`RztBzGyzOYzN\
  ezm<2>FzTazjRzbHzVBzs9zbXz4<2>DzJrzUVzQfzpPzaHzICzLq\
  z`<2>IzQ`z2<2>EzIzzvZzdzz1gz9PzGlz`HzhCzY2zV5zRNzS<2\
  >BzO_z9<2>EzK9zIsz1VzCMz3Dz6BzC9zIXzNKzNXzXKzSCzu<2>\
  8zVnzR8zm<2>7zTIznEzdAzWlz0yzb<2>KzRbz3Bzs9zb1zc3zY5\
  zSEz3AzDnz_TzTHzNDzNAzNHzjDzbAzVIzQFzPCzO9zN8zB5zn6z\
  d7zWdzMOzNZzyyzRYzPwz5XzESzr<2>CzVOz3<2>BzI7zxNzm<2>\
  BzTRzZXzNKzNzzwgzjPzZRz`Nzn<2>BzUWzO<2>DzN<2>8zN9zb8\
  zc7zeEzhAzkvzndzqOzthzwQzzrzzVzzfzzwzzUzzbzzNzzRzzHz\
  zZzzZzzLzzUzz<2>CzzZzz2zzezzUzzIzzyzzYzzxzzfzzPzzGzz\
  TzzTzz<2>CzzfzzVzzJzz
  }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l
}

END 20.0 PAR-FORMULA FILE==================================


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