ftp.xmission.com/2014.06.ftp.xmission.com.tar/ftp.xmission.com/pub/lists/fractint/archive/fractint.200108

Internet Message Format | 2001-08-31 | 211KB

From: [e-mail]
Subject: (fractint) C-FOTD  01-08-01  (A Midget in a Quandary [8])
Date: 01 Aug 2001 10:28:43 EDT


Classic FOTD -- August 01, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

On the surface, today's image resembles a piece of pop art.
Actually it's "A Midget in a Quandary", which is the name I gave
to the image.

The midget's problem lies in its symmetry.  Clearly, the midget
is a quadratic one, but where is the 2,4,8,... symmetry that
normally appears around such midgets?  Instead of a 4-way and an
8-way symmetry, we have a very well defined 6-way symmetry, and
this is not a pseudo-symmetry, it is a true 6-way symmetry.

To make matters worse, the 6-way symmetry breaks down into a
36-way symmetry as it nears the midget.  This would be expected
in a fractal created by a formula such as Z^6+C, but today's
fractal was created by a combination of Z^3 and Z^4, giving no
reason at all for the 6-way symmetry.

Features with 3-way symmetry also fill the image.  The most
prominent of these are located in the six radiating arms, though
no midgets lie at the center of these 3-way features.  And the
area within the 36-way symmetry breaks down into the kind of
non-symmetrical chaos that would be expected around the
fragmentary midgets of a perturbed fractal.  But a closer
examination of today's midget shows that it is intact.

All-in-all, today's image is a real mystery.  If I were rating
it according to its appearance alone, I would give it a 6.  But
when the puzzling mathematical aspect is considered, the picture
is well worth its rating of 8.

At a bit over 10 minutes, the parameter file renders reasonably
quickly.  And as always, the GIF image will soon be posted to
the web sites of Paul and Scott at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was of the pleasant uneventful summer
variety, with hazy sun and a temperature of 81F 27C that pleased
the cats.  To please me however it will be necessary for the
day's work to be behind me.  And it's now time to set out on the
road to pleasure.  So until next time, take care, and start
looking forward to philosophy of the fantastic kind.


Jim Muth
[e-mail]


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

AMidgetInAQuandary { ; time=0:10:39.17--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.44736824626302050/-0.000845686608124\
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  zzzzzzzzszzezzUzzHzz6zz0zz0zz0zz0zz0zz0zz0zz0zzAzz\
  HzzPzzYzzezzkzzszzzzzzzzP
  }

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) C-FOTD  02-08-01  (Simply Amazing [9.5])
Date: 02 Aug 2001 10:31:56 -0400 (EDT)


Classic FOTD -- August 02, 2001 (Rating 9.5)

Fractal visionaries and enthusiasts:

Today's image, which is from the same area of the same parent
fractal as yesterday's, is impossible.  It's incredible.  It has
no right existing.  But here it is.  I rated it a 9-1/5 because
in the mathematical sense, and with no exaggeration, it is the
most unusual fractal I have ever seen.  (Artistically however it
is not all that much.)

I have long noticed that the midgets I find in the fractals
created with the MandelbrotMix4 formula are all of the quadratic
variety.  That is, they are all shaped like miniature Mandelbrot
sets.  At the same time, I have heard rumors that midgets of
other higher orders are possible if only one knew enough math to
find them.

Until today, I have found higher-order midgets only in formulas
such as Z^(2.99)+Z^(3.01)+C, which doesn't count, because such a
formula is basically 2(Z^3)+C, and the fractal it draws is the
expected cubic.  Today however I finally found an elusive higher-
order midget.

But this is not all.  Not only did I find a cubic midget, but
right beside it and in the same frame I found an order-6 midget.
The cubic is not all that unexpected, since the generating
formula combines portions of Z^3 and Z^4, but the order-6 midget
is a total surprise.

Yesterday's image, which showed a quadratic midget with 6-way
symmetry, hinted at something very unusual in the area, but not
until I stumbled upon today's scene did I realize how unusual.
The more mathematically erudite may see what is happening and
understand how a scene such as today's is possible.  For myself,
I enjoy mysteries, and I'll consider today's image a mystery.
But I'm going to do a lot of exploring around the area of
today's image to see what other wonders I can uncover.

I have named today's image "Simply Amazing".  That is how I felt
when I saw it, so that's what I named it.  The parameter file
renders in just under 5 minutes, making it a toss-up whether to
run the parameter file or download the finished GIF image from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was more typical summer stuff, with
hot sun and a temperature of 88F 31C.  The cats, who enjoy such
conditions, were kept happy.

The clock over my desk tells me that it's already past the time
when I should get to the waiting work.  So until the next FOTD,
take care, and who knows what strangeness lurks deep in the
world of fractals.


Jim Muth
[e-mail]


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

Simply_Amazing     { ; time=0:04:53.85--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=t
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  }

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) C-FOTD  02-08-01  (Simply Amazing [9.5])
Date: 02 Aug 2001 11:16:05 -0500

Wonder what the Grand Ikenaga himself would have to say about Jim's
unusual discovery from a purely mathematical standpoint (or perhaps a
response would be more likely to be forthcoming from Osher Doctorow).

Seems as though the proximity of these differently symmetrical beasts
might speak to the definition of a "neighborhood" in the complex plane.

D. Freed

Jim Muth wrote:

> Classic FOTD -- August 02, 2001 (Rating 9.5)
>
> Fractal visionaries and enthusiasts:
>
> Today's image, which is from the same area of the same parent
> fractal as yesterday's, is impossible.  It's incredible.  It has
> no right existing.  But here it is.  I rated it a 9-1/5 because
> in the mathematical sense, and with no exaggeration, it is the
> most unusual fractal I have ever seen.  (Artistically however it
> is not all that much.)
>
> I have long noticed that the midgets I find in the fractals
> created with the MandelbrotMix4 formula are all of the quadratic
> variety.  That is, they are all shaped like miniature Mandelbrot
> sets.  At the same time, I have heard rumors that midgets of
> other higher orders are possible if only one knew enough math to
> find them.
>
> Until today, I have found higher-order midgets only in formulas
> such as Z^(2.99)+Z^(3.01)+C, which doesn't count, because such a
> formula is basically 2(Z^3)+C, and the fractal it draws is the
> expected cubic.  Today however I finally found an elusive higher-
> order midget.
>
> But this is not all.  Not only did I find a cubic midget, but
> right beside it and in the same frame I found an order-6 midget.
> The cubic is not all that unexpected, since the generating
> formula combines portions of Z^3 and Z^4, but the order-6 midget
> is a total surprise.
>
> Yesterday's image, which showed a quadratic midget with 6-way
> symmetry, hinted at something very unusual in the area, but not
> until I stumbled upon today's scene did I realize how unusual.
> The more mathematically erudite may see what is happening and
> understand how a scene such as today's is possible.  For myself,
> I enjoy mysteries, and I'll consider today's image a mystery.
> But I'm going to do a lot of exploring around the area of
> today's image to see what other wonders I can uncover.
>
> I have named today's image "Simply Amazing".  That is how I felt
> when I saw it, so that's what I named it.  The parameter file
> renders in just under 5 minutes, making it a toss-up whether to
> run the parameter file or download the finished GIF image from:
>
>           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
> or from:
>
>           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
>
> The fractal weather today was more typical summer stuff, with
> hot sun and a temperature of 88F 31C.  The cats, who enjoy such
> conditions, were kept happy.
>
> The clock over my desk tells me that it's already past the time
> when I should get to the waiting work.  So until the next FOTD,
> take care, and who knows what strangeness lurks deep in the
> world of fractals.
>
> Jim Muth
> [e-mail]
>
> START 20.0 PAR-FORMULA FILE================================
>
> Simply_Amazing     { ; time=0:04:53.85--SF5 on a P200
>   reset=2001 type=formula formulafile=allinone.frm
>   formulaname=MandelbrotMix4 function=ident passes=t
>   center-mag=+0.44864363812428920/+0.000055024630770\
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>   }
>
> 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"


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

From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) Re: C-FOTD  02-08-01  (Simply Amazing [9.5])
Date: 02 Aug 2001 11:14:13 -0500

Jim Muth wrote:
>
> Classic FOTD -- August 02, 2001 (Rating 9.5)
> ..........
> I rated it a 9-1/5 because in the mathematical
> sense, and with no exaggeration....

I am not sure about the exaggeration, with the SUBJECT and Title rating
each being 3/10ths (or 0.3) more than the Text Body rating.    :-)

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

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

From: [e-mail]
Subject: (fractint) Re: C-FOTD  02-08-01  (Simply Amazing [9.5])
Date: 02 Aug 2001 14:33:45 EDT

Paul lee wrote:

>I am not sure about the exaggeration, with the SUBJECT and Title rating
>each being 3/10ths (or 0.3) more than the Text Body rating.    :-)

I was so amazed that I wrote 9-1/5 instead of 9-1/2!!!   :-)

Jim M.

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

From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  03-08-01  (Midget with Tadpoles [7])
Date: 03 Aug 2001 09:49:13 -0400 (EDT)


Classic FOTD -- August 03, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Today's midget exists in the same area of the same fractal as
yesterday's puzzling image, which means that we have order-2,
order-3, and order-6 midgets lurking in the same fractal
neighborhood.  Since all this variety exists, how much more
might exist?  We'll discover that in future FOTD's.

For today however, we have today's image.  It is an image of a
normal quadratic midget, with the normal 4,8,16-way symmetry
surrounding it.  I named the picture "Midget with Tadpoles"
after the eight tadpole-like tails around the midget.

Though the fractal is a mathematical come-down from yesterday's
9-1/2, it is still worth an above average 7.  And as an added
bonus, the parameter file renders in only one minute, more or
less.

The fast render time can possibly be made even faster by
visiting Paul's web site at:

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

or Scott's site at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

and downloading the GIF image from there.

The fractal weather today (actually yesterday) here at Fractal
Central featured normal uneventful summer conditions.  The hot
sun and temperature of 88F 31C pleased the cats, but not quite
as much as the dish of tuna I treated them to in the afternoon.

Before the cats get unhappy again, I'd best involve myself in
some productive work.  Until next time, take care, and see you
then.


Jim Muth
[e-mail]


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

MidgetWithTadpoles { ; time=0:01:18.27--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=b
  center-mag=+0.52941265936266180/+0.052211586021879\
  70/8.323398e+007/1/160 params=1/3/-0.35/4/0/0
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  z0zz0zz0zz0zz0zz0zz0zz000
  }

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) C-FOTD  04-08-01  (Is it a Midget? [6])
Date: 04 Aug 2001 10:45:40 EDT


Classic FOTD -- August 04, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's FOTD pictures another midget in the fractal that has
been producing so many strange midgets lately.  But is it a
midget?  That's what I wondered as I studied the scene,
searching for a name.  The answer is both yes and no.

The indecision lowers the rating to a 6.

The eight open areas actually resemble things one might see in a
Julia set more than they do Mandeloid midgets.  Yet the sharply
defined surroundings have a kind of Mandeloid feel to them, and
the image is indeed oriented in the Mandelbrot direction and
located in the critical plane.

The answer is simple.  The visible image contains no quadratic
midget, for none is visible.  At the same time, the image does
contain a midget, but the midget is far too small to be seen.
What the image shows is the ring of 8-way symmetry surrounding a
midget, which is located far down in the center of the image,
where the spokes come together.

At this time I can only imagine the ultimate appearance of the
midget, which lies at a magnitude around 10^20, but I am placing
today's image in my file of currently unreachable goodies, and
holding it until Fractint or some other fractal generator comes
out with arbitrary precision math for user-written formulas.
Until that time, there is no hurry.  The reachable fractal world
at a magnitude of less than 10^13 is large enough to keep me
busy for at least a million years.

The parameter file attached to the bottom of this letter runs in
12 minutes; the GIF image that will soon be available at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

will download in 1 minute.

The fractal weather today continued in the summer doldrums.  The
sky was so hazy that any clouds were invisible, the atmosphere
was humid, with a temperature of 86F 30C.  The cats slept most
of the day.

Looking at my desk top, I see enough work to keep me busy for at
least 1/2 hour.  The urge is great to put that small amount
behind me, so the obvious thing would be to get started.  Until
next time, take care, and there will never be a last fractal.


Jim Muth
[e-mail]


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

Is_it_a_Midget     { ; time=0:12:13.20--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=b
  center-mag=+0.49712894345224910/+0.000002217255914\
  71/1.116919e+011/1/-35 params=1/3/-0.35/4/0/0
  float=y maxiter=12500 inside=255 logmap=789
  colors=000N1KN1KP2KR3KT4KV5KY6K`7Kf5Kl4Mr3Ux2awAcw\
  IevPgvXiudkukmtsotzpzzzzzzN5dOD`OKXPRUPYQQdMQkJSgG\
  TcEV`CWXAYT8ZQ6`M4aJ2SU4Jd5Ao71y89wCGuGNsKUqNpe0qY\
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  KZbNTWQOQTIJWDDZ76a20d37`4DX4KT5QP5XL6bH6hDw3mq2pl\
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  WWBUYBT`BRcBPeBOcAQa9S_8UZ7VX6XV5ZT4`S3aQ7_PBZOEYN\
  IXMMWLPVKTUJWTMZRPaPSdNVgMYjK`mIcpGfrFhkEjeDlZDnTC\
  pMBrGBRKL0NV7MPDLJJKDPK7VMF_NNdPViQbnSjsTrRR2KS2uW\
  0JUTOkuNagSYaPbTMgLJlD000
  }

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) C-FOTD  05-08-01  (Fractal Popcorn [6])
Date: 05 Aug 2001 10:20:54 EDT


Classic FOTD -- August 05, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The symmetry around the midget in today's image is so chaotic
that I'll not attempt to classify it.  Starting on the outside
as a 24-way symmetry, it reverts to the normal 8,16,32...
symmetry as the midget is approached.  Actually, the vague
octagonal shape of the outer ring leads me to suspect that the
24-symmetry is an artifact created by 8 groups of 3 elements.

I named the picture "Fractal Popcorn" because the outer ring of
24 elements somewhat resembles a string of popcorn.  I realize
that Fractint already has a built-in 'Popcorn' fractal, but
today's FOTD, which was created, as are most of my images, with
the most basic fractal methods, is of a totally different origin.

Undecided as to how to rate the image, I finally decided on a
rating of 6, which is a little above average.  Considering the
large, boringly flat area around the perimeter, caused by a
too-large logmap value, I could just as easily have chosen an
average 5, but the unusual symmetry was just enough to earn the
6.

The 15-minute render time of the parameter file is a bit slow,
and with the finished product being only a little above average,
the best way of viewing the scene is probably to download the
GIF image file from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was hazy, hot and humid, with a
temperature of 86F 30C, which was punctuated on several
occasions by distant thunder.  But the rain never arrived, and
the fractal cats stayed happy, lounging all afternoon in the
shade of the holly trees.

I'm now going to spend most of today lounging -- that is unless
I get an uncontrollable urge to go looking for fractals, or even
worse, to start philosophizing.  Regardless of what happens
however, I'll return in 24 hours or less with the next
incredible (at least IMO) FOTD.  Until then, take care, and be
true to your fractals and they'll be true to you.


Jim Muth
[e-mail]


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

Fractal_Popcorn    { ; time=0:15:29.06--SF5 on a p200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.45634544676351220/+0.000120966153903\
  08/1.621997e+010/1/-5 params=1/3/-0.35/4/0/0
  float=y maxiter=5000 inside=0 logmap=328
  colors=000Y1qa8feFXiMNxn_tfSpZK`zUcqPfhLi_Hg95iG8k\
  MBXk5`f7da9hXBe`gX_N`YKdWIhUFJSKRSIYSGeSEO_Ut73rD6\
  pI8nNBwIYqNNTWObUIGIjRMZaPO5p9GiARcBaYCKv2Zf84N3GP\
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  D5fhGg`RhTaiLljflkSTl0LmrQncaoQGpdPqYXrRdsKNt4Uu7_\
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  Yz7bz9gzBez2gz5iz8kzBXzRbzMgzHlzflzSczHhzF`zzfzaez\
  thzejzRQzSWzOazKgzGtzCjzf
  }

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) C-FOTD  06-08-01  (A Fill-in Fractal [4])
Date: 06 Aug 2001 09:53:34 EDT


Classic FOTD -- August 06, 2001 (Rating 4)

Fractal visionaries and enthusiasts:

Due to a last-minute rush that came about when a customer needed
his entire finished job re-designed because he found that it was
in violation of some vague law, I had no time to find a new
fractal for today.

As a result of the rush, I used a fractal that had already been
discarded.  The image is named "A Fill-in Fractal" because it is
a stand-in for an image that never was.

The midget in the image is located in the puzzling area that
I've been investigating lately.  I'll not even try to explain it
or figure out what kind of a midget it is.  With its non-criti-
cal characteristics, it might not be a true midget at all.  It's
simply something to look at.

The parameter file takes 13 minutes to render; the GIF image
will soon be available at:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today here at F.C. was typical summer
conditions.  The hot sun and temperature of 90F 32C kept the
fractal cats lazy.

With all the work to do, I can't be lazy however.  So until next
FOTD, take care, and stay busy.


Jim Muth
[e-mail]


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

A_Fill-in_Fractal  { ; time=0:12:52.00--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=t
  center-mag=+0.44864659530392430/+0.000062903672599\
  95/3.514093e+007/1/12.499 params=1/3/-0.35/4/0/0
  float=y maxiter=36000 inside=0 logmap=203
  colors=000PPpVZs_gufpxlzzqzzazQLz0zuHqQJd0KX5OPASH\
  FVALZ2Qb0Wd6XbGZ_Q_XaaVlaSdUX_LaVFdO7jJ0nE0s0jB0ab\
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  gOFgHHgBKgOlzFNt70gE9jJHm
  }

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: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) C-FOTD 06-08-01 (A Fill-in Fractal [4])
Date: 06 Aug 2001 22:35:08 -0400


------=_NextPart_001_0002_01C11EC8.0C53DE40
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

> The midget in the image is located in the puzzling area that
> I've been investigating lately.  I'll not even try to explain it
> or figure out what kind of a midget it is.

It's obviously a somewhat-mangled cubic.<br clear=3Dall><hr>Get your FREE=
 download of MSN Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_E=
N.asp'>http://explorer.msn.com</a><br>

------=_NextPart_001_0002_01C11EC8.0C53DE40
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"font:10pt verdana; border:none;"><DIV>> The midge=
t in the image is located in the puzzling area that<BR>> I've been inv=
estigating lately.  I'll not even try to explain it<BR>> or figur=
e out what kind of a midget it is.</DIV> <DIV> </DIV> <DIV>It's obvi=
ously a somewhat-mangled cubic.</DIV></BODY></HTML><DIV><BR><br clear=3Da=
ll><hr>Get your FREE download of MSN Explorer at <a href=3D'http://go.msn=
.com/bql/hmtag_itl_EN.asp'>http://explorer.msn.com</a><br></DIV>

------=_NextPart_001_0002_01C11EC8.0C53DE40--

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

From: [e-mail]
Subject: (fractint) C-FOTD  07-08-01  (Fuzzy Logic [5])
Date: 07 Aug 2001 11:06:57 EDT


Classic FOTD -- August 07, 2001 (Rating 5)

Fractal visionaries and enthusiasts:

The day was another busy one here at F.C., leaving little time
for fractal investigation, but with the MandelbrotMix4 formula,
a little time is all that is needed to create a passable (3 or
above) image.  The rush is still on this morning, so today's
discussion will again be short.

When I saw the fuzziness in today's fractal, I named it "Fuzzy
Logic".  Fuzzy logic is a loose type of computer programming
that enables computers to more closely imitate human-style
thinking, though I doubt that it enables the machines to be
self-aware that they are thinking more like humans.

While trying to decide whether my FOTD machine is aware that it
is calculating fractals, I decided that the image in question
deserves a perfectly average rating of 5.  This rating is high
enough to make the 2 minutes or so required to render the image
from the parameter file worth the effort.

The pre-rendered GIF image will soon be available on the
internet at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was very hot, hazy and humid.  With a
temperature of 97F 36C to contend with, the fractal cats thought
it best to remain in the relative coolness of the indoors.

I've got to run now, but I'll return in 24 hours or so with
another FOTD.  Until then, take care, and though it's all right
for computers to 'think' in a fuzzy manner, such thinking is not
so desirable in humans.


Jim Muth
[e-mail]


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

Fuzzy_Logic        { ; time=0:02:16.55--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.64836359885020600/+1.546402454929795\
  00/3685.29/1/-27.499 params=8/-1.23/0.8/-12.3/0/800
  float=y maxiter=300 inside=0 logmap=34
  colors=00000Y00Y00U20Q20P30K30G40C40A5065036006007\
  00700B00FQ0HS0LV0NY0R_0Ub0Yf0_h0ck0fn0jp0ls2pv3sx3\
  rs4ro5rk6rg6pc7p_8pV8pRAoNBoKBoGCoCDo8Dg8I_8MS8QL8\
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  LdzM0zR0zY0zc0zb0za0z_0zZ
  }

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) C-FOTD  08-08-01  (Snowcone in Summer [6])
Date: 08 Aug 2001 09:28:30 EDT


Classic FOTD -- August 08, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The weather is very hot; tomorrow will be hotter.  I've still
got a rush of work ahead of me.  It's been the perfect time for
a snow cone.  My fractal computer did not let me down as it
produced an image this (yesterday) afternoon that looks like a
midget surrounded by snow cones -- vanilla flavor of course.

To make the snow cone, 0.156 part of Z^3 must be subtracted from
Z^2 before adding C.  The -0.156 portion of Z^3 is very
critical, with the slightest change totally losing the midget.

I named the image "Snowcone in Summer".  The longer name sounds
more poetic than simply "Snow Cone".  The picture is about
average, maybe slightly higher, which justifies the rating of 6.

The 5-minute render time of the parameter file can be avoided by
downloading the finished GIF image from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But give Paul and Scott a chance to post the image before
visiting their sites.

The fractal weather today was very hot, but not quite as humid
as yesterday.  The temperature of 99F 37C kept the fractal cats
safely ensconced indoors.

I see that the topic of human cloning is once again in the news.
This topic always brings out the armchair philosopher in me, so
look for some interesting philosophizing on the philofractal
list in a day or so.

The next FOTD will appear in around 24 hours, and it will be me,
not a clone, that creates it.  Until then, take care, and if I
met my identical clone, which one would be me?  More puzzling,
if a third person met both of us, how would that person tell
which one was me?


Jim Muth
[e-mail]


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

Snowcone_in_Summer { ; time=0:05:21.91--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.27565152634002280/0/3.385421e+007
  params=1/2/-0.156/3/0/0 float=y maxiter=1600
  inside=0 logmap=169 symmetry=xaxis
  colors=000P0YP0YQ0_R0aS0cT0eU0gV0iW0kX0mY0oZ0q_0s`\
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  GzTIzVKzXMzZOz`PzOTzCWz0Z
  }

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) mangled cubics -par
Date: 08 Aug 2001 22:26:37 EDT


--part1_c0.18630e4a.28a34edd_boundary
Content-Type: text/plain; charset="US-ASCII"
Content-Transfer-Encoding: 7bit


>It's obviously a somewhat-mangled cubic.

what obvious things make this mapping a mangled cubic?  I really would like
to know.

Ii've been intrigued for years with mangled cubics.

this formula (Qubexmangled) creates an infinite number of mangled cubics each
populated with perfect minibrots and of course some not so perfect.  Just
evolve the formula once and youll see what i mean.  My real question i guess
is why do all of these mappings contain perfect minibrots and open
mini-julias but no mini's of higher order or self similar mini's of the
mangled lake?  After zooming into Jim's mini I couldn't find any perfect
minibrots just self similar mini's and egg shaped mini's (that i couldnt turn
into minibrots by inreasing the number of iterates or bailout).

best regards


mini-mangled       { ;   0:01:42.10
                     ; Created Aug 09, 2001 by Rui Parracho (c)
                     ; Send comments to [e-mail]
                     ;  Version 2001 Patchlevel 13
  reset=2001 type=formula formulafile=rsp.frm formulaname=QubexMangled
  center-mag=-0.14756557120500660/+0.97093277661795430/2083.333
  params=0.8575395977660452/-0.6994537186803796/-0.8794518875698111/-0.752\
  6779992065188 float=y maxiter=5000 bailout=256 logmap=107
  periodicity=0 rseed=3141
  colors=000zz0<4>zz0<3>zz0<8>PzRLzUHzX<3>0zh<10>0et0cu0av<3>0Uz<8>aCPeALi\
  8H<3>z00<10>e0Jc0La0N<3>U0U<8>m0Co0Aq08<3>z00<10>zKdzMgzOk<3>zVz<8>zmPzo\
  LzqH<3>zz0<19>mK2lI2lG3<3>i73<3>hMJhQOhTS<3>ggg<2>hhhhhhfdf<3>XNXVJVSESQ\
  AQN5N<3>OCMODMOFMOGLOILPKK<24>b66c55c55<3>f22g11h00<10>sA0tB0uC0<2>xF0zG\
  0z00<3>z00<7>z_0zd0zh0<3>zz0<6>zz0
  }

frm:QubexMangled{
;Rui Parracho
;aug 8 2001
IF(|p1|==0), a=(1,0), ELSE, a=p1, ENDIF
IF(|p2|==0), b=(2,0), ELSE, b=p2, ENDIF
c=pixel
z=(-a+sqrt(a*a-3*b))/3
:
z2=z*z,
z3=z2*z
z=z3+a*z2+b*z+c,
|z| <= 256
}

--part1_c0.18630e4a.28a34edd_boundary
Content-Type: text/html; charset="US-ASCII"
Content-Transfer-Encoding: 7bit

<HTML><FONT FACE=arial,helvetica><FONT  SIZE=2>
<BR>>It's obviously a somewhat-mangled cubic.
<BR>
<BR>what obvious things make this mapping a mangled cubic?  I really would like
<BR>to know.
<BR>
<BR>Ii've been intrigued for years with mangled cubics.
<BR>
<BR>this formula (Qubexmangled) creates an infinite number of mangled cubics each
<BR>populated with perfect minibrots and of course some not so perfect.  Just
<BR>evolve the formula once and youll see what i mean.  My real question i guess
<BR>is why do all of these mappings contain perfect minibrots and open
<BR>mini-julias but no mini's of higher order or self similar mini's of the
<BR>mangled lake?  After zooming into Jim's mini I couldn't find any perfect
<BR>minibrots just self similar mini's and egg shaped mini's (that i couldnt turn
<BR>into minibrots by inreasing the number of iterates or bailout).
<BR>
<BR>best regards
<BR>
<BR>
<BR>mini-mangled       { ;   0:01:42.10
<BR>                     ; Created Aug 09, 2001 by Rui Parracho (c)
<BR>                     ; Send comments to [e-mail]
<BR>                     ;  Version 2001 Patchlevel 13
<BR>  reset=2001 type=formula formulafile=rsp.frm formulaname=QubexMangled
<BR>  center-mag=-0.14756557120500660/+0.97093277661795430/2083.333
<BR>  params=0.8575395977660452/-0.6994537186803796/-0.8794518875698111/-0.752\
<BR>  6779992065188 float=y maxiter=5000 bailout=256 logmap=107
<BR>  periodicity=0 rseed=3141
<BR>  colors=000zz0<4>zz0<3>zz0<8>PzRLzUHzX<3>0zh<10>0et0cu0av<3>0Uz<8>aCPeALi\
<BR>  8H<3>z00<10>e0Jc0La0N<3>U0U<8>m0Co0Aq08<3>z00<10>zKdzMgzOk<3>zVz<8>zmPzo\
<BR>  LzqH<3>zz0<19>mK2lI2lG3<3>i73<3>hMJhQOhTS<3>ggg<2>hhhhhhfdf<3>XNXVJVSESQ\
<BR>  AQN5N<3>OCMODMOFMOGLOILPKK<24>b66c55c55<3>f22g11h00<10>sA0tB0uC0<2>xF0zG\
<BR>  0z00<3>z00<7>z_0zd0zh0<3>zz0<6>zz0
<BR>  }
<BR>
<BR>frm:QubexMangled{
<BR>;Rui Parracho
<BR>;aug 8 2001
<BR>IF(|p1|==0), a=(1,0), ELSE, a=p1, ENDIF
<BR>IF(|p2|==0), b=(2,0), ELSE, b=p2, ENDIF
<BR>c=pixel
<BR>z=(-a+sqrt(a*a-3*b))/3
<BR>:
<BR>z2=z*z,
<BR>z3=z2*z
<BR>z=z3+a*z2+b*z+c,
<BR>|z| <= 256
<BR>}</FONT></HTML>

--part1_c0.18630e4a.28a34edd_boundary--

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

From: "Morgan L. Owens" <[e-mail]>
Subject: (fractint) Re: [philofractal] C-FOTD  08-08-01  (Snowcone in Summer [6])
Date: 09 Aug 2001 20:34:12 +1200

At 01:28 09/08/2001, [e-mail] wrote:

>The next FOTD will appear in around 24 hours, and it will be me,
>not a clone, that creates it.  Until then, take care, and if I
>met my identical clone, which one would be me?  More puzzling,
>if a third person met both of us, how would that person tell
>which one was me?

Well, my guess would be that the younger one was the clone.

Morgan L. Owens
"'YOU ARE NOT THE COPY' it said."



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From: [e-mail]
Subject: (fractint) C-FOTD  09-08-01  (Lima-Bean Minibrot [6])
Date: 09 Aug 2001 10:05:25 EDT


Classic FOTD -- August 09, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal image is an intensification of the snow cone
theme of yesterday's image.  In today's image, the features that
resemble snow cones have shrunk and become pinched off.  They
resemble lima beans more than snow cones or even trees, so I
named the image "Lima-Bean Minibrot".

The parent fractal is a curious Mandelbrot set with a very
unstable hole at the tip of the negative stem, which in this
case points east, and is therefore more accurately called a
positive stem.  This hole comes and goes as the portion of Z^3
(real p2) is varied around the present value.  Today's midget is
located in the tip of a valley-wedge as the wedge meets and
joins with the opposite shore.

I rated the final image at a 6, which is just the slightest
above average.  As an unintentional bonus, the parameter file
renders in less than 2 minutes.  And for convenience, Paul and
Scott will soon have the finished GIF image posted to their web
sites at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

from where it may be downloaded in even less time.

The fractal weather today was very hot, with total sun and a
temperature of 104F 40C.  The fractal cats were smart enough to
remain indoors in such oppressive conditions.

As for myself, I've got a bit of work to accomplish, so until
next FOTD, take care, and the time for philosophy will arrive as
soon as the current busy period has passed.


Jim Muth
[e-mail]


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

Lima-Bean_Minibrot { ; time=0:01:46.78--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.275544945297878/0/4.065791e+007/1/180
  params=1/2/-0.157/3/0/0 float=y maxiter=1200
  inside=0 logmap=52 symmetry=xaxis
  colors=0007BzAEzDHzGKzINzLQzOTzRWyVYxY`t`cscfqfioi\
  lllokorisshvsixqiznizkizhiyd`taZoZYkZWf`VaaTYaRWcQ\
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  AYV7RR4NQ2HN0DK07I02G00E00D00B00A00900900700600400\
  2102101200400600700700900A00B00D00D00E00G00H00H00G\
  00E00D00B00A0090070060040120210400600700900A00A00G\
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  Q0tO0tN0tL0tK0tI0tB0t00t0
  }

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: "Multiple Bogeys" <[e-mail]>
Subject: (fractint) Whither the Fractal of the Night?
Date: 09 Aug 2001 23:03:25 -0400


------=_NextPart_001_0001_01C12127.7F2D4940
Content-Type: text/plain; charset="iso-8859-1"
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What ever became of the Fractal of the Night? (Not to confuse with Jim Mu=
th's Fractal of the Day). It stopped being updated over 2 years ago, with=
out any apparent explanation...<br clear=3Dall><hr>Get your FREE download=
 of MSN Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.asp'>ht=
tp://explorer.msn.com</a><br>

------=_NextPart_001_0001_01C12127.7F2D4940
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"font:10pt verdana; border:none;"><DIV>What ever beca=
me of the Fractal of the Night? (Not to confuse with Jim Muth's Fractal o=
f the Day). It stopped being updated over 2 years ago, without any appare=
nt explanation...<BR><BR></DIV></BODY></HTML><DIV><BR><br clear=3Dall><hr=
>Get your FREE download of MSN Explorer at <a href=3D'http://go.msn.com/b=
ql/hmtag_itl_EN.asp'>http://explorer.msn.com</a><br></DIV>

------=_NextPart_001_0001_01C12127.7F2D4940--

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

From: [e-mail]
Subject: Re: (fractint) Whither the Fractal of the Night?
Date: 10 Aug 2001 00:27:00 EDT

Multiple Bogeys wrote:

>What ever became of the Fractal of the Night? (Not to confuse with
>Jim Muth's Fractal of the Day). It stopped being updated over 2 years
>ago, without any apparent explanation...

The last I heard from Jay was about 1 year ago.  At that time he was
depressed over the death of his father and had lost interest in fractals.

Jim (FOTD in 10 hours) Muth


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From: [e-mail]
Subject: (fractint) C-FOTD  10-08-02  (Mood Indigo [5])
Date: 10 Aug 2001 09:16:41 EDT


Classic FOTD -- August 10, 2001 (Rating 5)

Fractal visionaries and enthusiasts:

A heat wave and power shortage struck Fractal Central today,
with the local power company continually cutting off the Fractal
Central air-conditioner via a remote signal.  We get power at a
reduced rate in return for giving the power company the ability
to cycle the area air conditioners on and off in an organized
manner.  But this cycling caused FC to heat up to such a degree
that the computers could be used only intermittently.  It is a
rather curious situation we're in, with ads on the TV telling us
to turn off our air conditioners when it gets very hot, then
turn them back on again when it cools off.  An appliance that
can be used only when it is not needed is a logical absurdity.
A business that must tell the public to *not* purchase its
product is equally absurd.

Today's image is not absurd however.  It pictures a quadratic
midget in the fractal created when 1/2 part of Z^4 is subtracted
from Z^3.  Since the scene is fairly routine, I livened it up
with an inside fill of <fmod> and an outside of <tdis>.

Then I noticed the somber, somewhat mysterious colors and named
the result "Mood Indigo".  I rated it an average 5.  The
attached parameter file runs on my machine in 11 minutes and 47
seconds.  The GIF image will soon be available on the internet
at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today here at FC was hazy, and extremely hot
and humid, with a temperature of 105F (40.5C) and a ridiculous
dew-point of 82F (28C).  The fractal cats became totally
lethargic, and passed the day asleep.

It's now time to see how much I can get done before the power
company starts cutting off the air conditioners again


Jim Muth
[e-mail]


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

Mood_Indigo        { ; time=0:11:47.00--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.46289397986149020/+0.044064680123738\
  56/4.127056e+009/1/-154.999 params=1/3/-0.5/4/0/0
  float=y maxiter=1200 inside=fmod
  proximity=0.35 outside=tdis
  colors=000D_J9VE6R95T84V83X83Z72`71b71d7JW9`NBqFCJ\
  SRMQOPOLSMJUKGXIE_GBaE9VC9OB9I99B89579BAFGDLMGQRJW\
  WMaaPffSlkVqjTojSmjRkiQjiPhiOfiNelPcnRbpSasU_uVZwX\
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  VI3VF3VC4V94V64Y89_ADaCIcEMfGRhIVjK_lLcqH_uDWyATk8\
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  Ti7Ok63fW7jQAnLDrFGvAJz5Hx5Fw5Du5Ct5Ar58q57p5LlWYi\
  vXgoWfiWecVcYVbSUaMU`GXXLZTPaPTcLXeH`hDdj9hl6lc5oW\
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  5Qf1HXkNwWJvHFv2BvKQz`mAYhFWdJT`ORWSOSXMO`KKdMJZNI\
  UPHPQGKRFFWFCSQIO_OLiUHdO
  }

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: Programmer Dude <[e-mail]>
Subject: Re: (fractint) C-FOTD  10-08-02  (Mood Indigo [5])
Date: 10 Aug 2001 09:35:27 -0500

[e-mail] wrote:

> An appliance that can be used only when it is not needed is a
> logical absurdity. A business that must tell the public to *not*
> purchase its product is equally absurd.

What's absurd is what we've turned life into.  What was a vision of
the future in '83 is ever more true today: Koyaanisqatsi

--
|_ CJSonnack <[e-mail]> _____________| How's my programming? |
|_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL  |
|_____________________________________________|_______________________|

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

From: [e-mail]
Subject: (fractint) Re: C-FOTD  10-08-02  (Mood Indigo [5])
Date: 10 Aug 2001 22:14:42 EDT

>Jim Muth wrote:

>> An appliance that can be used only when it is not needed is a
>> logical absurdity. A business that must tell the public to *not*
>> purchase its product is equally absurd.

Programmer Dude replied

>What's absurd is what we've turned life into.  What was a vision of
>the future in '83 is ever more true today: Koyaanisqatsi

Koyaanisqatsi is another of my favorite films.  I replay it at least once
a month, and every time I watch it I notice something different.  The long
scene of the exploding rocket at the end is one of the strongest
examples of the ultimate inability of technology to solve humanity's
problems that I have yet seen.  And no, I know of nothing better.

Jim (I have faith in science and technology) Muth

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

From: harry <[e-mail]>
Subject: Re: (fractint) Re: C-FOTD  10-08-02  (Mood Indigo [5])
Date: 10 Aug 2001 22:28:27 -0400

When I rented the tape of Koyaanisqatsi... I noticed the black on black
traces of a printed circuit board on the box.  Funny... I often work with
those.

<resume lurk mode>

Harry (now back to my dungeon to finish the board....)



[e-mail] wrote:

> >Jim Muth wrote:
>
> >> An appliance that can be used only when it is not needed is a
> >> logical absurdity. A business that must tell the public to *not*
> >> purchase its product is equally absurd.
>
> Programmer Dude replied
>
> >What's absurd is what we've turned life into.  What was a vision of
> >the future in '83 is ever more true today: Koyaanisqatsi
>
> Koyaanisqatsi is another of my favorite films.  I replay it at least once
> a month, and every time I watch it I notice something different.  The long
> scene of the exploding rocket at the end is one of the strongest
> examples of the ultimate inability of technology to solve humanity's
> problems that I have yet seen.  And no, I know of nothing better.
>
> Jim (I have faith in science and technology) Muth
>
> --------------------------------------------------------------
> 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: "Paul N. Lee" <[e-mail]>
Subject: (fractint) MAC is alive and well.
Date: 10 Aug 2001 21:37:57 -0500

For those that use the MAC files, which are by Marcelo Anelli C., here
is the current website that I got from Marcelo in an email:

    http://www.marceloanelli.com/fractal/

Where images, parameters, and formulas are available, for both FractInt
and UltraFractal.

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

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From: [e-mail]
Subject: (fractint) C-FOTD  11-08-01  (Mandelbrot Star-Burst [6])
Date: 11 Aug 2001 10:26:21 EDT


Classic FOTD -- August 11, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The fractal image for today shows a mini Mandelbrot midget
sitting in the middle of a star burst.  The star burst is
located deep in the fractal that results when 11 parts of
Z^(-1.7) are subtracted from 11 parts of Z^(-1.5).

The parent fractal of today's scene appears as a split Mandeloid
with X-axis symmetry, rotated 180 degrees, with its head facing
east.  From each of the two buds an area of chaotic lace-like
filaments extends outward.  Eventually, these chaotic areas
collapse into single discontinuous filaments, which then loop
around and join each other far to the east.  Today's scene lies
near the point where the northeast area of lacy chaos
degenerates into a single filament.

I named the image "Mandelbrot Star-Burst", though due to the
18-letter limit to Fractint parameter file names I had to drop
the 'star' part.  After some intense consideration I rated the
whole thing at a 6.  I guess it's a bit above average.

The attached parameter file not only supplies data, it can
actually be run to reproduce today's fractal image.  The time
required is 5-1/2 minutes.  And those who enjoy the internet
will soon find the image posted to Paul's web site at:

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

and to Scott's site at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today (August 10) once again featured 99F
37C heat and tropical rain-forest humidity.  Sharp showers with
some thunder fell through the late afternoon, but this merely
steamed things up even more.  The fractal cats, established in
their summer mode, did nothing but eat and sleep.

As for myself, the heat and humidity still prevails this morning
(August 11).  It's a good enough excuse to spend the day doing
nothing but relaxing and thinking deep, meaningful,
enlightening, philosophical thoughts.  The clone issue supplies
enough material for even a non-materialist like myself.  I'll
return in the allotted time with another fractal and maybe a few
of those deep thoughts I'm going to spend the day thinking.
Until the moment of my return, take care, and don't get cloned.


Jim Muth
[e-mail]


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

Mandelbrot_Burst   { ; time=0:05:36.86--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.93771531616150700/+2.923195519588176\
  /1.691665e+010/1/59.999 params=11/-1.5/-11/-1.7/0/0
  float=y maxiter=1000 inside=0 logmap=106
  colors=0000O00N00M00L00K00J00I10H30G40F60E90DA0CC0\
  BD0AF09G0DJ0JM0OP0SS0YV0aY0f_0li0ps0rz0xz0uz0tz0qz\
  0pz1mz4lz7gzAdzD`zGXzJSzMOzPJzSFzTCzYIzaOzdTvi_pld\
  lpjgspcxvYzzTzzPzzLzzOzzPzzQzzSzxTzuVzrXzpYzm`zjaz\
  gczddzafz_gzXizVjzTfzTczS`zSYzQVzQQzPOyPLxOIvOFuOC\
  uOFvMIvMLxLOxLPyJSyJVyJYzI`yFjzIazGdzGgzFjzFmDz0Gz\
  0Iy0Lv0Mu0Pr3Qp6Tm9VlAYiD_gGadJccLfaOg_QjYTlVVoTYp\
  Q`sPcuMdxLgyIjzGmJDzPFzTFzYFzaFzfFzlFxpFuuFsyFpufs\
  vcrvarx_rxYryVpyTpzQpzPpzMozLozIozGo`TTcSXfQYgP_jO\
  `lOaoMcpLfsJguJixIjyGlzFm_jg`iiagicfiddifcjgaji`ji\
  _jjYjlXlmVloVlpTlrSlsQmsPmuOmvMmxLmyJozIozGozFoJf6\
  Md9PcCQaDT`GV_IYYL`XMaVPdTQfSTiQXlPYmO`pMarLduJfxI\
  iyGjzFm0d06g9IaITXQfQ_rLg4fYPmciXi0`j1XlCTlOQmYOmi\
  LosIouozvdzxXvyOrzazz`zz_zzYzzXzzVzzTzzTzzSzzQzzPz\
  zOyzMxzMvzLuzJszIrzGpzFozv0zs0zp3zo6zl9ziCzgFzdIza\
  Lz`OzYSzs3zp1zm1zj0zg0zd0
  }

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) C-FOTD  12-08-01  (Bombastic Minibrot [7])
Date: 12 Aug 2001 10:30:24 -0400 (EDT)


Classic FOTD -- August 12, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Today's Minibrot has nothing really outstanding going for it, so
I had to create something.  To give the image something to brag
about, I worked up an extravagant color palette, intensified the
colors a bit more, and coated the scene with the bombastic array
of hues.

I named the final image "Bombastic Minibrot" because, like a
skilled politician, it makes a lot of noise while having little
to say.  I'm not quite sure why I rated it as high as a 7.
Maybe I like the visual noise.  (Writing can also be bombastic,
but that's something we won't discuss.)

The iterated formula that created the image subtracts 4.5 parts
of Z^(-1.5) from 5 parts of Z^(-1.3), then adds (1/C) instead of
the normal C.

The time required on my machine for this wonder to occur as a
result of running the parameter file is a little over 6 minutes.
The time required to go online and pick up the image from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

is somewhat less.  But before going online, give Paul and Scott
the chance to render and post the image.

The fractal weather today was mostly cloudy and very humid.
What discomfort the temperature of 88F (31C) lacked was supplied
by the humidity.  To add to the interest, thunder-showers roamed
the area from midday well into the night.  The thunder kept the
cats skittish, but knowing that fractal cats are intrepid, they
faced the danger bravely.

Trying to keep dry, I'll return in 24 hours or so with another
knock-out FOTD.  Until then, take care, and have a happy day.


Jim Muth
[e-mail]


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

Bombastic_Minibrot { ; time=0:06:14.04--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-7.37493071961238400/+0.022864366644824\
  79/6480602/1/-115 params=5/-1.3/-4.5/-1.5/0/0
  float=y maxiter=1200 inside=0 logmap=125
  colors=000N00R00R00V00X00Z00`00b00d00e00g00i00k20m\
  60o80qC0sE0uH0vG0zJ0zN0zR0zV0zZ0zb0ze0zd0zi0zm0zq0\
  zs0zw0zv0ws0ro0mk0hg0cd0Z`0UX0PT0KP0FL0AH05G00J00L\
  00NE0PE0TC0VC0XC0`A0bA0dA0eA0d80d80b80b80`82`66Z6C\
  Z6GX6JX66d0NX6dREuLLz0EzGRzkZzgbzdeu`ioXmgTo`PsTLv\
  NJzGGz8Cz08z04z00z00z00z00z04z08u0Ek0Hd0LV0RL0VC0T\
  00Z44b88eCEiEJoHNsLTvP8mNXzRzzvuzVXz28z06z04z02z40\
  zG0zP0zZ0zi0zs0zz0zz0zzAzzJzzTzzdzzmzzvzzzzzxzzqxx\
  kssdmmXgeRd`JZVCTP6NH0HC0C60800C40E60G80HA0JE0LG0N\
  H0PJ0RN0TP0VR2XT4bR2ZV2VZ2T`2Pd0Ne0Ji0Hk0Eo0Cq4Ei6\
  Eb8GVCGNEGHGHAJH2LJ0NJ0PJ0NG0LE0JA4H8CG4HE2PC0XA0d\
  A0iE2gH8gJEgNJgRPgTVgTTkTXkT`kTdkJg0Ei08k22m80oC0q\
  G0sH0uH0vJ0xJ0zJ0zL0zL0zL0zC4z4Az0Gz0Lz0Rz0Xz0bz0e\
  z0kz2oz8gz2bz0Xz0Pz0Jz0Ez0Hz0Jz6LzGPzRRz`TzkVzuizz\
  xzzzzzzzzzzzszzbzzLzz4zzAzzEzuJzmNzd8zk6zg2zb0zZ0z\
  V0zZ0zR0zL2zG6zAAz4Gz0Jz0
  }

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: Mark Christenson <[e-mail]>
Subject: (fractint) symmetry=
Date: 12 Aug 2001 20:33:26 -0700

I am using Fractint v20.0 for DOS, and have encountered an
annoying problem.  The "symmetry=" parameter does not
work for "formula" types.  Is this still the case (given the
patches since)?  If so, why?  I should note that I am using
non-zero values for p1-p3.


Thanks,
        Bud


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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) symmetry=
Date: 12 Aug 2001 23:02:12 -0500

Mark Christenson wrote:
>
> I am using Fractint v20.0 for DOS

Which patch level??  (.01 through .15 available)

And have you tried the latest 20.1 version, now at level .13 ??

     http://www.fractint.org/

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

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

From: [e-mail]
Subject: (fractint) C-FOTD  13-08-01  (Vitality [8-1/2])
Date: 13 Aug 2001 10:54:52 EDT


Classic FOTD -- August 13, 2001 (Rating 8-1/2)

Fractal visionaries and enthusiasts:

No, today's image, with its fractional rating, is not pretending
to be an artsy film; it's an image that I just couldn't decide
how to rate.  When I decided to rate the image at an 8, I felt I
was short-shrifting it.  Then when I decided on a rating of 9, I
felt I was over-rating it.  The rating of 8-1/2 seems just about
right.  I named the image "Vitality".  I brief glance will show
why.

The formula behind the image, -1.05(Z)+1.05(Z^(-2))+(1/C), draws
a fractal that consists of two contrasting Mandeloids in a NW to
SE oriented line.  The NW Mandeloid has an oversized main bud,
while the main bud on the SE figure is undersized.  There must
be a rational mathematical reason for this particular type of
distortion, but I'm not aware of what that reason is.

Today's tiny midget is located in a disconnected hole near the
tip of a filament extending from a minor bud on the N shore of
the main bud of the NW Mandeloid.  When rendered with the usual
equal-iteration bands, today's image is acceptable, but the
<tdis> option really brings it to life.

To see the living fractal, run the attached parameter file and
see it in 2 minutes, or wait an hour or so, then go on the
internet and download the image from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was cloudy and very humid, with a
temperature of 83F 28C and occasional rain.  The fractal cats
complained but accepted their confinement.

I must now accept that the work before me needs to be done, and
the only way I know to finish the job is to start it.  When the
work is finished, I'll be here with another fractal and perhaps
some philosophy.  Until then, take care, and be good but not too
good.


Jim Muth
[e-mail]


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

Vitality           { ; time=0:02:13.97--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.02922892649398737/-0.022688490365579\
  9/2.024055e+012/1/-125 params=-1.05/1/1.05/-2/0/600
  float=y maxiter=1200 inside=0 outside=atan
  colors=200ZzxSzxNzxIzxCzx7zx2zx2zx2zx2wx7qxFlxNgxW\
  bxcYukTptOmzJiwGsrExmDxjBxk8xm6xo4xs1wy0nt0cg12_02\
  S0200200200300600A2RamzxcqsUakPLc24XkTxhNxgIseDpc8\
  kb1f`0cZ0ZX0WzhUzmQzrPzwN`OxbNxcLxeLxgJxhIxjIxkGxm\
  EwoEupDsrBrrBpmGrjJreNrbQrZTrUXrR_rMbrIfrFirAlr7pr\
  3sr2su2tw2wx2wxcIsZOuUVuPawMgxHnxCtx9zxAxwAwsAtpCs\
  mCqiCpfCncElZEkWEiSFgPFfLFdIFbFHgAIl6Kp3Mt2Nx2Pz2R\
  z2Sz2Uz2Wz2Sz2Rn2P_2NL2M62I22H12F08E0GC0P90Z70f50p\
  30x20xA0xH0xN0xW0xb0xh0xp0xw0xz0xz0xz0xz0xz0xz0xz0\
  xz0xz0xz1xz2xz4xz6xz8xz9xzBxzGxzLxzOxzTxzXxzaxzdwz\
  iszlrzqpztnzidp_XbONNEFA46MX2Xw2Zs2Zp2`n6`kDbiIbfP\
  cdWca`e_feXkgVrgRxhQxhNxhLxkJxoJxrJxuIxyIxzIuzGrzG\
  nzGkzGizIhzJfzLduNcpOamQahR`cTZZVXUXWPYUMYUodNziGz\
  nLpqQctWewZgxahxdhzhjzkkznmzrmzuozxpzxrzxrzxtzxuzx\
  uzxjzxZzxNzuCzn2zh2za2zc5zcCzdIzdRzfXzfczfjzhrzhyz\
  izzizzizzmzzntzrozsjzwczx
  }

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: Programmer Dude <[e-mail]>
Subject: Re: (fractint) Re: C-FOTD  10-08-02  (Mood Indigo [5])
Date: 13 Aug 2001 10:27:17 -0500

[e-mail] wrote:

>> What's absurd is what we've turned life into.  What was a vision of
>> the future in '83 is ever more true today: Koyaanisqatsi
>
> Koyaanisqatsi is another of my favorite films.

Why am I not even slightly surprised!  ;-)

> I replay it at least once a month,...

You *own* a copy!!  Lucky stiff!!!  It's out of print, although Amazon
has some used ones for 50$.  ;-(

--
|_ CJSonnack <[e-mail]> _____________| How's my programming? |
|_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL  |
|_____________________________________________|_______________________|

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

From: Lee Skinner <[e-mail]>
Subject: (fractint) C-FOTD  13-08-01  (Vitality [8-1/2])
Date: 13 Aug 2001 12:55:35 -0400

Jim,

>> Classic FOTD -- August 13, 2001 (Rating 8-1/2)

>>  When rendered with the usual equal-iteration bands, today's image is
acceptable, but the <tdis> option really brings it to life. <<

>>  float=3Dy maxiter=3D1200 inside=3D0 outside=3Datan <<

Did you mean <atan>, or do you mean that <tdis> is also good for today's
FOTD??

Lee

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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: C-FOTD  13-08-01  (Vitality [8-1/2])
Date: 13 Aug 2001 15:07:39 -0400 (EDT)

At 12:55 PM 8/13/01 -0400, Lee Skinner wrote:
>Jim,
>
>>> Classic FOTD -- August 13, 2001 (Rating 8-1/2)
>
>>>  When rendered with the usual equal-iteration bands, today's image is
>acceptable, but the <tdis> option really brings it to life. <<
>
>>>  float=y maxiter=1200 inside=0 outside=atan <<
>
>Did you mean <atan>, or do you mean that <tdis> is also good for
>today's FOTD??
>
>Lee

Yes, I meant <atan>.  The <tdis> option does nothing.  When I wrote
the discussion this morning, I was irritated because I had just
waited 25 minutes while 12 large (190K) identical and useless e-mails
were downloading from someone named Don Duplan, whose machine probably
has been infected with a virus.

Jim M.


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

From: "Chris Curnow" <[e-mail]>
Subject: (fractint) Latest version?
Date: 13 Aug 2001 22:14:55 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_0012_01C12445.61EF4A60
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hi folks,

Finally got round to downloading the latest Developers Release.

The one I *have* been using is 20.01.06

the new one in fradev.zip is numbered 20.0.9

Which is the later?  (and what happened to 20.01.13 which is what I was =
expecting?)

Best regards
Chris Curnow

------=_NextPart_000_0012_01C12445.61EF4A60
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4611.1300" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Hi folks,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Finally got round to =
downloading the=20
latest Developers Release.</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>The one I *have* been using =
is=20
20.01.06</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>the new one in fradev.zip is =
numbered=20
20.0.9</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Which is the later?  =
(and what=20
happened to 20.01.13 which is what I was expecting?)</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Best regards</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Chris =
Curnow</FONT></DIV></BODY></HTML>

------=_NextPart_000_0012_01C12445.61EF4A60--


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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 13 Aug 2001 19:35:44 -0500

Chris,

> the new one in fradev.zip is numbered 20.0.9

> Which is the later?  (and what happened to 20.01.13 which is what I was
expecting?)

If you downloaded from www.fractint.org, we have a problem.  I'll download
it and see what I get.

Jonathan




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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) symmetry=
Date: 13 Aug 2001 19:29:09 -0500

Bud,

> The "symmetry=" parameter does not work for "formula" types.

That is still the case.  The symmetry can be hard coded for any given
formula using:

formulaname(symmetry){...
}

But I'm sure that's not what you want.

Jonathan



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

From: [e-mail]
Subject: (fractint) C-FOTD  14-08-01  (Code-Red Minibrot [7])
Date: 14 Aug 2001 10:40:50 EDT


Classic FOTD -- August 14, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

The outside of yesterday's image was rendered with the <atan>
option.  It was not made with the <tdis> option, as I mistakenly
stated in the discussion.  But this is just a minor blemish on
the otherwise infallible edifice of the FOTD.

When I wrote yesterday's discussion, I was very irritated, and
not concentrating on my writing.  It is very annoying to have
work backed up, that needs to be done, and then have your ISP
connection tied up by the download of 12 identical 200K files
that are intended only to spread a virus.

I'm not sure how the code-red virus works, but I think the
multiple messages were sent unintentionally by someone whose
computer had been infected by the virus.  The first thing I did
when the 25-minute download finished was to send a very
insulting reply to the sender, who probably sent the letters
unintentionally and has received many such insulting replies.
One must count to 10 ten times before striking the send button.

In honor of the whole affair, I named today's picture "Code-Red
Minibrot".  My flimsy excuse for assigning the name was the
large amount of red in the image.  I rated the image at a 7.  It
really is an interesting image, although 'interesting' is a word
that is often used when someone wants to express lack of
approval without offending.

The simple formula (Z)-(Z^(-2))+(1/C) created the image.  The
bailout radius of also 3600 is also significant, as it is in
many formulae involving negative powers of Z.

The image can be seen by running the attached parameter file,
which runs in 7-1/2 minutes, or by visiting Paul's web site at:

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

or Scott's site at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But before visiting however, give Paul and Scott a chance to
post the image.

The fractal weather today here at F.C. featured lots of clouds,
high humidity, a temperature of 84F (29C), and a lively thunder-
shower in the afternoon.  The fractal cats were inconspicuous,
possibly because they were displeased by my irritated mood.

Well, it's now another day, my e-mailbox holds no virus-infected
letters, and my mood is much improved.  It might even be
improved enough to tackle the philosophy I keep threatening to
post.  But philosophy or not, I'll return in 24 hours, more or
less, with the next C-FOTD.  Until then, take care, and wait
with bated breath.


Jim Muth
[e-mail]


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

Code-Red_Minibrot  { ; time=0:04:51.49--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.97852135926682400/+0.276817842628913\
  70/708417.1/1/60 params=1/1/-1/-2/0/3500 float=y
  maxiter=500 inside=0 logmap=100 periodicity=10
  colors=000zr0`_U`ZUaYVbXWbXXcWYcVZdU_dT`eSaeSadU`d\
  V`cW_cX_bY_bZZa_Za`Z`aY`bY_cY_dXZeXZfXYgWYhWXjWXkV\
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  zTDzSDzRCzPCzOCzNCzLCzKCz
  }

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: Pedro Lopes <[e-mail]>
Subject: Re: (fractint) C-FOTD  14-08-01  (Code-Red Minibrot [7])
Date: 14 Aug 2001 16:21:24 +0100

[e-mail] wrote:
> I'm not sure how the code-red virus works, but I think the
> multiple messages were sent unintentionally by someone whose
> computer had been infected by the virus.  The first thing I did
> when the 25-minute download finished was to send a very
> insulting reply to the sender, who probably sent the letters
> unintentionally and has received many such insulting replies.
> One must count to 10 ten times before striking the send button.

Hmm, no, Code Red is not an email worm.  By your description you
were probably hit by SirCam.  The two epidemics of the month...

Pedro Lopes


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

From: Jim Muth <[e-mail]>
Subject: (fractint) Re: Code-Red
Date: 14 Aug 2001 15:17:56 -0400 (EDT)

At 04:21 PM 8/14/01 +0100, you wrote:
>[e-mail] wrote:

>Hmm, no, Code Red is not an email worm.  By your description you
>were probably hit by SirCam.  The two epidemics of the month...
>
>Pedro Lopes

The 12 200kb junk files were attached to identical e-mails.
I have included one of them below.

Jim M.


START E-MAIL------------------------------------------------

>Hi! How are you?

>I send you this file in order to have your advice

>See you later. Thanks

>Attachment Converted: C:\DOWNLOAD\NHSPTAMa.lnk

END E-MAIL---------------------------------------------------


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

From: Programmer Dude <[e-mail]>
Subject: Re: (fractint) Re: Code-Red
Date: 14 Aug 2001 14:53:17 -0500

Jim Muth wrote:

>> Hmm, no, Code Red is not an email worm.  By your description you
>> were probably hit by SirCam.  The two epidemics of the month...
>
> The 12 200kb junk files were attached to identical e-mails.
> I have included one of them below.
>
> START E-MAIL------------------------------------------------
>> Hi! How are you?
>>
>> I send you this file in order to have your advice
>>
>> See you later. Thanks
>>
>> Attachment Converted: C:\DOWNLOAD\NHSPTAMa.lnk
> END E-MAIL---------------------------------------------------

Yes, definitely SirCam.  The text portion is the giveaway.

Code-Red applies to Windows NT IIS servers only.

--
|_ CJSonnack <[e-mail]> _____________| How's my programming? |
|_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL  |
|_____________________________________________|_______________________|

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

From: Jim Muth <[e-mail]>
Subject: (fractint) C-FOTD  15-08-01  (Fractal Fall-Out [7])
Date: 15 Aug 2001 11:06:48 -0400 (EDT)


Classic FOTD -- August 15, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Sometimes I take actions for which I can give no logical reason.
Continuing this FOTD is one of these actions; naming today's
image "Fractal Fall-Out" is another.  There is nothing at all in
the swastika-like image that hints at fall-out of any type.

The swastika is an ancient mystical symbol, which did not lose
respectability until the 20th Century, when it's mirror image
was chosen to symbolize a less-than-noble political philosophy.
But ancient and mystical or not, the twisted cross is no longer
considered a politically correct symbol, so not wanting to
offend, I could not name today's image "Fractal Swastika".  I
named it "Fractal Fall-Out" instead.

The rating of 7 seems about right for today's colorful, though
slightly depressing image, which was created with the iterated
formula: -1(1/Z)-0.1(Z^(-10))+(1/C).  The render time of
approximately 8-1/2 minutes is within reason for all but the
busiest viewers.  For those busy ones, the GIF image file will
soon be available on the web at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was partly cloudy and, except for a
brief burst of rain in mid-afternoon, uneventful.  The
temperature of 85F 29.5C pleased the cats, who were indoors when
the raindrops splattered down.

As is usually the case, I've got unexpected work to do.  But
regardless, I'll return in 24 hours with another fractal.  Until
then, take care, and though I may occasionally mention political
things, I never discuss the topic.


Jim Muth
[e-mail]


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

Fractal_Fall-Out   { ; time=0:08:15.01--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-10.71669962637634000/-1.67197391424321\
  90/3.282837e+007/1/-2.5 params=-1/-1/-0.1/-10/0/800
  float=y maxiter=1800 inside=0 logmap=170
  colors=00078X78XAA_DBbGDeIEhLGkHHnMIqLKtIMvHPxGSyD\
  VzBYzAZz7az5dz3gz1jz1lz1oz1rz1tz1xz1xz1ux1rz1oy1lz\
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  SzyVzuZzoazkdzehzakzXnzSrzMuzIxzDzz8zz3zz0zz5tzDnz\
  IgzPazVVzaOzhIznBzu5zzvz5
  }

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: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) symmetry=
Date: 15 Aug 2001 20:13:06 -0500

Bud,

>> The "symmetry=" parameter does not work for "formula" types.

> That is still the case.  The symmetry can be hard coded for any given
> formula using:

I looked at the code and couldn't see any reason "symmetry=" wouldn't work
with the formula types.  So, I tried it, and it does work.  I was surprised!

I have no idea why I thought it wouldn't work, but I was wrong.  So, enjoy
the newly discovered old feature.  8-))

Jonathan



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

From: [e-mail]
Subject: (fractint) C-FOTD  16-08-01  (Hybornean Minibrot [7])
Date: 16 Aug 2001 09:55:44 EDT


Classic FOTD -- August 16, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

According to certain traditions, man's present civilization,
which began around 8,000 years ago, is not the first.  These
traditions tell of an earlier, now lost civilization, known as
Atlantis, and of an even earlier civilization, known as Lemuria.
There are also a few tales of a third lost civilization -- the
earliest of all -- Hybornea.

At this time, I'll not state my opinion about the existence of
these civilizations.  (At least not until my next outburst of
Philosophy.)  But even if the legends have absolutely no basis
in fact, their mere existence and persistence in the face of
absolutely no physical evidence is fascinating.

Also fascinating, and equally unlikely, is today's fractal
image, which I have named "Hybornean Minibrot", after the third
and least likely of the lost civilizations.  I gave it this name
because the chance of today's particular fractal scene ever
becoming a FOTD was virtually zero, yet here it is.

The formula that was iterated to create the image is
0.5(Z^(-0.75))+0.05(Z^(-7.5))+(1/C), a rather unwieldy
expression that nevertheless creates an interesting fractal
consisting of the usual Mandeloid, facing east, with the usual
extra bays, buds, valleys and filaments.  Today's scene lies
near a node of a chaotic area extending from the southeast
shoreline of the main bud.

The rating of an above-average 7 is well earned.

With a render time of slightly under 8 minutes, the parameter
file is the slow way to see the image.  A faster way is to
download the image from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But it will be an hour or so before the faster way is available.

The fractal weather today at Fractal Central was totally
uneventful, with some sun, some clouds, moderate humidity and a
temperature of 84F (29C).  The cats, who enjoy uneventful
weather, had a very uneventful and happy day.

My day will be happy when I finish the work that lies before me.
It will be happier when I find the fractal that will appear as
tomorrow's FOTD, but the happiest day of all will be when my
philosophical muse once again apepars.  Until tomorrow, take
care, be skeptical of credulity, but remain credulous and
curious.


Jim Muth
[e-mail]


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

Hybornean_Minibrot { ; time=0:07:46.15--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+3.570095649530768/+0.14560619319789/5.\
  826806e+010/1/-72.606/0.091 params=0.5/-0.75/0.05/\
  -7.5/0/800 float=y maxiter=1450 inside=0 logmap=155
  colors=0000ER0DP0CN0AK09I08G07D06A0580360230210521\
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  uVxsWvrWsqYqpYooZlm_jl_gk`ej`cha`ga_g_aeZcdYdcWf`V\
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  uVDvVEwVExVEyVEzVEzVHzaJzgLzmOzuQzzTzzLzyEzsHzmIzh\
  JzcKzZNzTOzOPzUQzZRzcYzhazpYzjUzdQz_NzUJzPGzJCzEAz\
  DAzDAzD9zD9zD9zD8zD8zD8zD
  }

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: "Chris Curnow" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 17 Aug 2001 01:47:21 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_0006_01C126BE.8E64D8A0
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hi Jonathan,

It's 1:45AM and I've finally managed to get a line that works.  (It's =
taken two days for me to respond to your email!)

I downloaded from Spanky having tried, unsuccessfully, to keep a line =
open to the Fractint site.

(You know this is a lovely country to live in.  The food and wine is =
amazingly good and exceptionally cheap.  The weather is optimal for =
human beings.  But.... the telephone system is abysmal and the =
electricty supply is cut off at least twice a week.  Trying to use a =
computer here can be like something from purgatory!)

Best regards,
Chris
  You said...

  Chris,

  > the new one in fradev.zip is numbered 20.0.9

  > Which is the later?  (and what happened to 20.01.13 which is what I =
was
  expecting?)

  If you downloaded from www.fractint.org, we have a problem.  I'll =
download
  it and see what I get.

  Jonathan


------=_NextPart_000_0006_01C126BE.8E64D8A0
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4611.1300" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Hi Jonathan,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>It's 1:45AM and I've finally =
managed to=20
get a line that works.  (It's taken two days for me to respond to =
your=20
email!)</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>I downloaded from Spanky =
having tried,=20
unsuccessfully, to keep a line open to the Fractint =
site.</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>(You know this is a lovely =
country to=20
live in.  The food and wine is amazingly good and exceptionally=20
cheap.  The weather is optimal for human beings.  But.... the=20
telephone system is abysmal and the electricty supply is cut off at =
least=20
twice a week.  Trying to use a computer here can be like something =
from=20
purgatory!)</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Best regards,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Chris</FONT></DIV>
<BLOCKQUOTE=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  <DIV style=3D"FONT: 10pt arial"><FONT face=3D"Comic Sans MS" =
size=3D2></FONT><FONT=20
  face=3D"Comic Sans MS" size=3D2></FONT>You =
said...<BR></DIV>Chris,<BR><BR>> the=20
  new one in fradev.zip is numbered 20.0.9<BR><BR>> Which is the =
later? =20
  (and what happened to 20.01.13 which is what I =
was<BR>expecting?)<BR><BR>If=20
  you downloaded from <A =
href=3D"http://www.fractint.org">www.fractint.org</A>, we=20
  have a problem.  I'll download<BR>it and see what I=20
  get.<BR><BR>Jonathan<BR></BLOCKQUOTE></BODY></HTML>

------=_NextPart_000_0006_01C126BE.8E64D8A0--


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

From: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 16 Aug 2001 21:09:52 -0400


------=_NextPart_001_0000_01C12697.CB005B80
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

[Snip HTML]

> (You know this is a lovely country to live in.  The food and wine is am=
azingly good and exceptionally cheap.  The weather is optimal for
> human beings.  But.... the telephone system is abysmal and the electric=
ty supply is cut off at least twice a week.  Trying to use a
> computer here can be like something from purgatory!)

What country is that? All I could glean from the headers was the country =
code .pt, which isn't familiar to me.<br clear=3Dall><hr>Get your FREE do=
wnload of MSN Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.a=
sp'>http://explorer.msn.com</a><br>

------=_NextPart_001_0000_01C12697.CB005B80
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"background-color:#ffffff;font:10pt verdana; border:n=
one;"><DIV><FONT face=3D"Comic Sans MS" size=3D2>[Snip HTML]</FONT></DIV>=
 <DIV><FONT face=3D"Comic Sans MS"></FONT> </DIV> <DIV><FONT face=3D=
"Comic Sans MS" size=3D2>> (You know this is a lovely country to live =
in.  The food and wine is amazingly good and exceptionally cheap.&nb=
sp; The weather is optimal for</FONT></DIV> <DIV><FONT face=3D"Comic Sans=
 MS" size=3D2>> human beings.  But.... the telephone system is ab=
ysmal and the electricty supply is cut off at least twice a week.&nb=
sp; Trying to use a</FONT></DIV> <DIV><FONT face=3D"Comic Sans MS" size=3D=
2>> computer here can be like something from purgatory!)</FONT></=
DIV> <DIV><FONT face=3D"Comic Sans MS"></FONT> </DIV> <DIV><FONT fac=
e=3D"Comic Sans MS">What country is that? All I could glean from the head=
ers was the country code .pt, which isn't familiar to me.</FONT></DIV></B=
ODY></HTML><DIV><BR><br clear=3Dall><hr>Get your FREE download of MSN Exp=
lorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.asp'>http://explor=
er.msn.com</a><br></DIV>

------=_NextPart_001_0000_01C12697.CB005B80--

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

From: Guy Hammer <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 16 Aug 2001 18:44:31 -0700

On Thu, 16 Aug 2001, Multiple Bogeys writes:
> What country is that? All I could glean from the headers was the
> country code .pt, which isn't familiar to me.

=2Ept =3D Portugal
--
Guy Hammer, [e-mail]
http://www.aracnet.com/~guyh
--
  6:40pm  up 92 days,  4:29,  4 users,  load average: 1.00, 1.05, 1.02

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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 16 Aug 2001 21:59:19 -0500

Multiple Bogeys wrote:
>
> What country is that?  All I could glean
> from the headers was the country code .pt,
> which isn't familiar to me.
>

There are probably a few hundred locations for acquiring this
information, here is but one:

     http://www.vianet.net.au/~timn/domains.html

For other links, use most any search engine with keywords:
    "Internet"  "Country Codes"

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

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From: "Andrew Coppin" <[e-mail]>
Subject: (fractint) OT: Sterograms
Date: 17 Aug 2001 10:20:27 +0000

I know it's a tad off topic but... does anyone here have an algorithm for
drawing sterograms (magic eye pictures)?

Theoretically I could crawl through the FractInt source code and find out
how it works... and theoretically I could crawl through the POVRay source
code and work out how the sturmian equation solver works, but I got nowhere
with that!

Any help?

Thanks.
Andrew.


_________________________________________________________________
Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp


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

From: Pedro Lopes <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 17 Aug 2001 11:53:11 +0100

Chris Curnow wrote:
> (You know this is a lovely country to live in.  The food and wine is
> amazingly good and exceptionally cheap.  The weather is optimal for
> human beings.  But.... the telephone system is abysmal and the
> electricty supply is cut off at least twice a week.  Trying to use a
> computer here can be like something from purgatory!)

As a native :) I find that kind of strange. Where exactly are you living?

Pedro Lopes


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From: [e-mail]
Subject: (fractint) C-FOTD  17-08-01  (New Fractal Stuff [6])
Date: 17 Aug 2001 10:40:20 EDT


Classic FOTD -- August 17, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's FOTD pictures a midget that has never before been seen
by any sentient being, living or dead.  Before I revealed the
midget, it existed only as one of an infinity of abstractions
that could be changed, is some sentient being chose to do so,
into a form perceivable by that being's senses.  Since I am a
visually oriented human being, I chose to change the abstraction
into a visual image which could be perceived by the human visual
apparatus.

I named the image "New Fractal Stuff".  I realize that every
fractal image of any depth shows some new fractal stuff, but the
name, though it is not the most classy of all time, is at least
an accurate description.  The rating of 6, which states that I
consider the image only a little above average, is reasonably
justified.

The iterated expression that drew the image is a simple
Z^(2.13)+C, made more interesting by rendering a more remote
part of the infinite logarithmic spiral with the aid of the
MandelbrotBC1 formula.  With its render time of over 55 minutes
on my tired old fractal machine, the parameter file is an
unusually slow one.  I recommend giving Paul and Scott a chance
to render and post the GIF image, then picking up the finished
image from their web sites at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was reasonably normal for this time
of year in this part of the world, with hazy sunshine and a
temperature of 86F 30C.  The fractal cats must have approved,
because they went about their daily activities undisturbed.
Doing the same is my next task.

Until next time, when philosophy could appear, take care, and
isn't it curious that with a near infinity of time at its
disposal, the universe just happens to be in the brief period
when we all exist?


Jim Muth
[e-mail]


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

New_Fractal_Stuff  { ; time=0:55:18.00--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=floor passes=1
  center-mag=+0.03939721014235058/-0.285207869930379\
  30/1.094895e+010/1/-99.999 params=2.13/0/11.7/0
  float=y maxiter=60000 inside=0 logmap=1223
  colors=000LhsQhtVjt_mudpuisvnuvlvtksrjpqinogknfhle\
  ekdcib`haYf`We_TcZQaXN`WLZVIYUFWSCVRATQ7SP4QO2PP3R\
  P4SQ4UQ5VR5WR6YS6ZS7_S8aT8bT9dU9eUAfVAhVBiVBj_CkdD\
  khDkmElqElvFlzFlyHkxJjwLjvNiuPhtRhsTgsVfrXfqZep`do\
  bdndcmfblhbljakl`jn`ip_hrZgtZfvYexXeyXfuZfq`gmbgjc\
  gfehbghZhhWjiSliOmjKojHqjDrk9tk5vk2weIm_XdUkVPzMRx\
  OSvQTtSUsUVqWWoYXnZYl`Zjb_idagfbehccjdbke`mfZogYqh\
  WsiUujTvkWtkZrkapkcnkflkijkkillkmllmlnnmonmqomrpnt\
  pnuqnwqnxnmuklrhkpejmbij`hhYgeVfcSe`PdYMcWKbTHaRE`\
  OB_L8ZJ5YG3YE6WF8VGBTHDSIGQJIPKLNLNMMPLNSJOUIPXGPZ\
  FQaDRcDSeEThFUjGVmHWoIXrJYtKZvLZwM_wN`wO`wPawQawRb\
  xScxUcxWdxYdx_exafxcfyegyggyihykiymiyojyqjxsewuavw\
  YuxUtyQszMszOszPrzRrzTrzUrzWrzXqzZqz`qzaqzcqzdqzeq\
  zfqzgqzhqziqzjrzirzirzhszhszgszgszgtzftzftzeuzeuzd\
  uzduzdszerzfqzgpzgozhnzimzilzjjzkizkhzlgzmfzmezndz\
  oczoezkfzh6zn1zq6zrBzrGzs
  }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a
}

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

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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 17 Aug 2001 12:09:23 -0500

Andrew Coppin wrote:
>
> I know it's a tad off topic but... does
> anyone here have an algorithm for
> drawing sterograms (magic eye pictures)?
> Any help?
>

Are you talking about having two, basically the same, images shifted
slightly apart from each other (10-15 pixels), but one overlaying the
other.  With one version in blue and the other version in red (for use
with the old 3-D glasses)??

Or where two completely whole images are side by side but the viewpoint
has been slightly shifted between the two, as to account for the
perspective of each eyeball??

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

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

From: "Chris Curnow" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 17 Aug 2001 22:21:21 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_0006_01C1276A.F1692120
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    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Off topic so really short...

Alvai=E1zere.  Slap bang in the middle of Portugal between Tomar and =
Coimbra.

I *like* the natives.  Want to continue off line, I'm at =
[e-mail]

BTW, Jonathan.  What's the news on the fradev.zip?

Best regards,
Chris Curnow

  Chris Curnow wrote:
  > (Trying to use a computer here can be like something from =
purgatory!)

  Pedro Lopes replied...
  >As a native :) I find that kind of strange. Where exactly are you =
living?

  Pedro Lopes


------=_NextPart_000_0006_01C1276A.F1692120
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4611.1300" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Off topic so really =
short...</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Alvai=E1zere.  Slap bang =
in the middle=20
of Portugal between Tomar and Coimbra.</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>I *like* the natives.  =
Want to=20
continue off line, I'm at <A=20
href=3D"mailto:[e-mail]">[e-mail]</A></FONT><=
/DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>BTW, Jonathan.  What's =
the news on=20
the fradev.zip?</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Best regards,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Chris Curnow</FONT></DIV>
<BLOCKQUOTE=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  <DIV style=3D"FONT: 10pt arial"><FONT face=3D"Comic Sans =
MS"></FONT> </DIV>
  <DIV>Chris Curnow wrote:<BR>> (Trying to use a computer here =
can be=20
  like something from purgatory!)<BR></DIV>
  <DIV><FONT face=3D"Comic Sans MS" size=3D2>Pedro Lopes =
replied...</FONT><BR>>As=20
  a native :) I find that kind of strange. Where exactly are you=20
  living?<BR><BR>Pedro Lopes<BR></DIV></BLOCKQUOTE></BODY></HTML>

------=_NextPart_000_0006_01C1276A.F1692120--


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

From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) ORGFORM Collection of FractInt Formulae
Date: 17 Aug 2001 21:02:25 -0500

I have noticed that the "ORGFORM.ZIP" file (usually contained in the
"orgfrm.zip" file) does not contain a good portion of the formulae that
are available for use with FractInt, ChaosPro, UltraFractal, and any
other programs capable of using the FRM file format.

There are two locations for these formula collections at Spanky:
    http://spanky.triumf.ca/pub/fractals/formulas/ORGFRM.ZIP
    http://spanky.triumf.ca/pub/fractals/programs/ibmpc/orgfrm.zip
but they have not been updated in quite some time.

I acquired a more recent copy several weeks ago at another web site, but
even it was not much more accurate.  So have compiled another version
which contains all of the data from these, and about 35% more.  Anyone
interested in this copy can download from the following link:

    http://www.Eclectasy.com/paul/software/ORGFORM.ZIP

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

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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 17 Aug 2001 21:37:52 -0500

Chris Curnow wrote:
>
> What's the news on the fradev.zip?
>

Try this, and just copy the files into your current FractInt directory:

    http://www.fractint.org/ftp/current/dos/fradev20.1.13.zip

It should be the 20.1.13 level.

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

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

From: "Jonathan Osuch" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 17 Aug 2001 18:19:26 -0500

Chris,

> BTW, Jonathan.  What's the news on the fradev.zip?

It worked just fine.  But, I knew where to go and what to download.  If you
don't get version 20.1.13, let me know.

Jonathan



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

From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) ORGFORM Collection of FractInt Formulae
Date: 17 Aug 2001 18:23:40 -0500

I have noticed that the "ORGFORM.ZIP" file (usually contained in the
"orgfrm.zip" file) does not contain a good portion of the formulae that
are available for use with FractInt, ChaosPro, UltraFractal, and any
other programs capable of using the FRM file format.

There are two locations for these formula collections at Spanky:
    http://spanky.triumf.ca/pub/fractals/formulas/ORGFRM.ZIP
    http://spanky.triumf.ca/pub/fractals/programs/ibmpc/orgfrm.zip
but they have not been updated in quite some time.

I acquired a more recent copy several weeks ago at another web site, but
even it was not much more accurate.  So have compiled another version
which contains all of the data from these, and about 35% more.  Anyone
interested in this copy can download from the following link:

    http://www.Eclectasy.com/paul/software/ORGFORM.ZIP

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

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

From: [e-mail]
Subject: (fractint) C-FOTD  18-08-01  (Zigging and Zagging [6])
Date: 18 Aug 2001 11:06:04 EDT


Classic FOTD -- August 18, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal image is a mass of twisted, broken, zigging and
zagging filaments, spiralling down into a Minibrot of the order
2.15.  But though the image is totally fragmentary, it holds
together somehow into a unit that at a quick glance appears as a
single object.  The single object might not actually be there as
a single unit, but it appears to be, and the illusion of
existence rates a slightly-above-average 6.

After a modicum of thought, I named the image "Zigging and
Zagging".  The name is a description of the appearance of the
image, no more or no less.

It's a fast image, rendering from the parameter file in a little
over 2 minutes even on my tired old Pentium-I 200mhz machine.
The image can also be seen by going to Paul's web site at:

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

or to Scott's site at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

and downloading the GIF image.  But before visiting the sites,
give Paul and Scott a chance to render and post the image.

The fractal weather today was normal summer, with partly cloudy
skies and a temperature of 86F 30C.  The fractal cats, who enjoy
summer, approved of the conditions.

At this time the cats would approve of a run in the yard, so
until next time, take care, and keep your cool when the heat is
on.


Jim Muth
[e-mail]


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

ZiggingAndZagging  { ; time=0:02:06.28--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=mandelbrotbc1 function=floor passes=1
  center-mag=-1.39819790248369700/-0.419788473585744\
  70/2.36408e+007/1/-92.5 params=2.15/0/1/0 float=y
  maxiter=2000 inside=0 logmap=48
  colors=000TnjYljWhgVedUbbS__RXXQUVORSNOPMLNKIKJFHI\
  CFG9CF69E37G6AH9CICFJEHLHJMKMNMOOPQQSTRUVSXXT__Vba\
  WecXifYmh_qj`tmawobzq_wnYtkWqhTpeRpcPo`NnYKmXImYGm\
  ZDm_Bm`9ma7mb9mcAmdCmeDmfEmgGmhHmiJmjKmkLmmNmoOmqQ\
  msRmuSmwUmxVmzXmzYmzZmz`mzbmzdmzfmwhmrimmcmhYmccmd\
  cmecmeam7bl8bk8bk8bj8bj9bi9bi9bh9bh9bfAbcBbaCb_DbY\
  EbVFbTGbRHbOIbMJbKKbIL_NJYSHWXGJa8UaERfDPkBNpALu8m\
  fJnZHibGefE`jDWnBSrANq8ciNid_dhQUmG0hn3hg6ha9hWBjP\
  EmJHoDMncRmoQllQkjPjgPieOhbOg`NgYNiWNjTMlRMnOLpMLr\
  JKsHKuEJwCJy9Swjhu7fs7dq7co7am7_k7Zi7Xh7Wg7Uf7Si7R\
  l7Po7Nr7Mu7Kx7PsrOtoOtlOujNugNudNvbMv_MwXMwVLwSLxP\
  LxNKyKKyHKyFJzCJz9NlbMn_MoXMpVLqSLrPLsNKuKKvHKwFJx\
  CJy9BxZCyXCyWCyVDyUDyTDySEyQEyPEyOFyNFyMFyLGzJGzIG\
  zHHzGHzFHzEIzCIzBIzAJz9Jz8vzGszFqzEnzElzDjzDgzCezC\
  czB`zBZzAXzAUz9Sz9Qz8Nz8Lz7_z2Zz3Yz3Xz3Wz3Vz4Uz4Uz\
  4Tz47zm7zm7zm7zmDzlIzkOzk
  }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a
}

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

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

From: "Chris Curnow" <[e-mail]>
Subject: Re: (fractint) Latest version?
Date: 19 Aug 2001 10:54:20 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_0012_01C1289D.4C85D3E0
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Thanks Jonathan and Paul.  Got it!
Best regards,
Chreis Curnow
  Paul wrote..
  Try this, and just copy the files into your current FractInt =
directory:

      http://www.fractint.org/ftp/current/dos/fradev20.1.13.zip

  It should be the 20.1.13 level.

  P.N.L

------=_NextPart_000_0012_01C1289D.4C85D3E0
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4611.1300" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Thanks Jonathan and =
Paul.  Got=20
it!</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Best regards,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Chreis Curnow</FONT></DIV>
<BLOCKQUOTE=20
style=3D"PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; =
BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
  <DIV><FONT face=3D"Comic Sans MS" size=3D2>Paul wrote..</FONT><BR>Try =
this, and=20
  just copy the files into your current FractInt=20
  directory:<BR><BR>    <A=20
  =
href=3D"http://www.fractint.org/ftp/current/dos/fradev20.1.13.zip">http:/=
/www.fractint.org/ftp/current/dos/fradev20.1.13.zip</A><BR><BR>It=20
  should be the 20.1.13 =
level.<BR><BR>P.N.L</DIV></BLOCKQUOTE></BODY></HTML>

------=_NextPart_000_0012_01C1289D.4C85D3E0--


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From: [e-mail]
Subject: (fractint) C-FOTD  19-08-01  (Sinuous Happenings [6])
Date: 19 Aug 2001 10:29:09 EDT


Classic FOTD -- August 19, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The expression that was iterated to produce the parent fractal
of today's image is 146(Z^(-1.1))-146(Z(-1.11))+(1/C).  This
parent appears as an oversized, roughly egg-shaped outline,
filled with chaotic fractal debris in which float countless
Minibrots.  In addition to the minibrots that fill it, the
oversized egg has at its center a double-armed Mandeloid with
several bays.  The scene of today's image lies near this
Mandeloid.

The difference between Z^(-1.1) and Z^(-1.11) is small, which
explains why 146 parts of it are needed to produce a fractal.

Several out-zooms are needed before the entire egg-shaped
figure becomes visible, and the periodicity checking must be
either turned off or set to something like 25.

I was a bit over-enthusiastic when I colored the image.  The
excessively brilliant and gaudy colors in fact reduce the final
result from a rating of 7 to one of 6.  But despite the
excessive coloring, the sinuous, gently curving filaments
extending outward from the central midget are quite obvious.  It
was these filaments that inspired the name "Sinuous Happenings"

With its render time of under 17 minutes, running the parameter
file is not unreasonable, but the better way to see the image is
to download it from the internet Web sites:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

As always, give those who maintain the sites a chance to render
and post the image before you visit.

The fractal weather today (Saturday) was uneventful and
summer-like, with partly sunny skies and a temperature of 86F
30C.  The fractal cats were made happy by the ideal conditions,
but Tippy spoiled the good day when he started a fight with a
stray who wandered too close to the yard.

As for myself, it's late Sunday morning, the work is caught up,
and I've nothing to do now but think deep philosophical
thoughts.  I need to do some philosophical thinking so that I'll
have something to say in tomorrow's FOTD.  Until then, take
care, and when one person's truth is another's nonsense, and
neither can prove their point of view, who is right?


Jim Muth
[e-mail]


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

Sinuous_Happenings { ; time=0:16:44.97--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-0.786213748845612/+2.12037868368983/37\
  675.56/1/-147.499 params=146/-1.1/-146/-1.11/0/1111
  float=y maxiter=2400 inside=0 logmap=301
  colors=00000A00AF0V30A30k00o00s0Iz03y0Bz0Kz0Lz0Iz0\
  Fz0Dz0Az07z03z02z20z50z80zB0zG0zK0zN0zR0zU0zY0za0z\
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  zzzzzyzzxvzuszsqzqnzokzoizmezkcziazgYzeWzcwzkUzc7z\
  X0zS3zVAzXGzXNzXgzQ_zUUzX
  }

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: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 19 Aug 2001 19:30:16 +0000

I'm talking about the magic eye images you can make in FractInt by pressing
Alt+S. Obviously *someone* around here must know how the algorithm works...

Thanks.
Andrew.

>From: "Paul N. Lee" <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) OT: Sterograms
>Date: Fri, 17 Aug 2001 12:09:23 -0500
>
>Andrew Coppin wrote:
> >
> > I know it's a tad off topic but... does
> > anyone here have an algorithm for
> > drawing sterograms (magic eye pictures)?
> > Any help?
> >
>
>Are you talking about having two, basically the same, images shifted
>slightly apart from each other (10-15 pixels), but one overlaying the
>other.  With one version in blue and the other version in red (for use
>with the old 3-D glasses)??
>
>Or where two completely whole images are side by side but the viewpoint
>has been slightly shifted between the two, as to account for the
>perspective of each eyeball??
>
>P.N.L.
>--------------------------------------------------------------
>http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go
>
>--------------------------------------------------------------
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-------------------------------------------------------------------------------

From: <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 20 Aug 2001 09:18:39 +1200

This is a multi-part message in MIME format.

----------part3b802d2f8a9ae
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit

Andrew Coppin <[e-mail]> said:

> I'm talking about the magic eye images you can make in FractInt by pressing
> Alt+S. Obviously *someone* around here must know how the algorithm works...
>
You might like to check out
http://www.cs.waikato.ac.nz/~singlis/sirds.html

All we need know is a stereogram containing a Julibrot...

Morgan L. Owens
"ASCII-art stereograms! I'll never see everything at this rate..."


----------part3b802d2f8a9ae
Content-Type: application/octet-stream; name=""
Content-Transfer-Encoding: base64

bnRlbnQtVHJhbnNmZXItRW5jb2Rpbmc6IGJpbmFyeQ0KDQo=


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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 20 Aug 2001 09:50:50 +0000

Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they WORK!
Nice one!

>From: <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) OT: Sterograms
>Date: Mon, 20 Aug 2001 09:18:39 +1200
>
>Andrew Coppin <[e-mail]> said:
>
> > I'm talking about the magic eye images you can make in FractInt by
>pressing
> > Alt+S. Obviously *someone* around here must know how the algorithm
>works...
> >
>You might like to check out
>http://www.cs.waikato.ac.nz/~singlis/sirds.html
>
>All we need know is a stereogram containing a Julibrot...
>
>Morgan L. Owens
>"ASCII-art stereograms! I'll never see everything at this rate..."
>
><< attach3.bin >>


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From: [e-mail]
Subject: (fractint) C-FOTD  20-08-01  (Iteration Bands [6])
Date: 20 Aug 2001 10:33:51 EDT


Classic FOTD -- August 20, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

The equal-iteration bands that appear in nearly every FOTD image
are sometimes seen as an undesirable result of the 256-color GIF
palette.  At other times, the bands make the picture.  Today's
image is one of the best examples of a picture made by its bands.

I named the image "Iteration Bands" as a simple description.
Then I rated it at a 6.  The iterated formula takes the tiny
difference between Z^(-1.49) and Z^(-1.51), and multiplies it by
a factor of 200, resulting in a parent fractal that extends
beyond the default screen, but is worth an outzoom to bring it
into view.

The image renders from the parameter file in a little under
7 minutes on my tired machine.  It downloads in less than half
the time from:

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

or from:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But before going for the download, give Paul and Scott a chance
to post the image.

The fractal weather today (Sunday) here at F.C. featured heavy
clouds with rain and thunder.  The cats accepted the temperature
of 81F 27C with barely a shrug, but disapproved strongly of the
rain and thunder, letting me know it by making themselves quite
obvious around Fractal Central.

Something (like the clock on the wall) now tells me that it's
time to tackle the things that need to be done.  So while I'm
occupied with other things, take care, and see you in 24 hours.


Jim Muth
[e-mail]


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

Iteration_Bands    { ; time=0:06:33.60--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.42277533169381500/+3.340461066977218\
  00/9.005038e+010 params=200/-1.49/-200/-1.51/0/525
  float=y maxiter=1200 inside=0 logmap=138
  colors=000b83a80fA3kB6pD9uECzFFxNJwYNvcQthUssYrv`i\
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  zQczQczQczQczQczQczQczQczQczQczQczQczRczSczTczUczV\
  czWczXczYczZcz_cz`czaczbczcczcczcczcczcczcczcczccz\
  cczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcc\
  zcczcczcczcczcczcczcczccz
  }

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) C-FOTD  21-08-01  (A Nameless Fractal [6])
Date: 21 Aug 2001 10:43:13 EDT


Classic FOTD -- August 21, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Try as I did, I could not think of a name for today's image.
But that created no problem, as I simply named the image "A
Nameless Fractal".  I'll let the mathematically over-educated
ponder whether today's FOTD actually has a name.

Name or no name, today's image is busy.  It has more colors than
a galaxy has stars.  In fact, it has too many colors -- a
redundancy that drops it from a rating of 7 to one of a 6.  But
it's still a fun image to look at, and well worth the 16 minutes
required to run the parameter file or the small effort required
to go online and download the GIF image from:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

Before going for the GIF image, give Paul and Scott a chance to
render and post it.

The formula that did the deed is Z^4+2Z^3+C, an apparently
simple formula that creates a surprisingly complex fractal.  In
the vicinity of today's image can be found quadratic midgets,
cubic midgets, quartic midgets, quintic midgets and hexic
midgets (if that's what Z^6 midgets are called).  There are also
midgets of fantastic shape, which combine the features of
midgets of several degrees.  The most obvious appearance of
these odd-order midgets in today's image is near the left edge,
about 1/3 down from the top edge, where a cubic midget lies.
But do not try to resolve the cubic midget.  It lies beyond
resolution.

The mystery of the day's weather however can always be resolved
-- that is if one waits until the next day.  On Monday, partly
cloudy skies and a temperature of 86F 30C made things here at
Fractal Central perfect for cats.  It was so perfect in fact
that I had a hard time cajoling them to return indoors when the
time came.

Once again the time has come to get busy.  The work is waiting
and it's 10:30am.  So until next FOTD, take care, and enjoy the
fractals.


Jim Muth
[e-mail]


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

A_Nameless_Fractal { ; time=0:16:14.98--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.41562595889429820/-0.000000209527199\
  68/1.010792e+011/1/-12.498 params=1/4/2/3/0/0
  float=y maxiter=2100 inside=0 logmap=343
  colors=0003qz3qz4rz5rz6sz7sz8sz9tzAuzBvzCwzDwzFsqH\
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  U_zXXz_TzbPzeMzhIzkEznBzmFzlIzlLzkOzkRzjUziXzi_zhb\
  zhezedzbdz_dzXczUczhlz_nz
  }

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: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) C-FOTD 21-08-01 (A Nameless Fractal [6])
Date: 21 Aug 2001 23:17:54 -0400


------=_NextPart_001_0000_01C12A97.81FC2BE0
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

> Name or no name, today's image is busy.  It has more colors than
> a galaxy has stars...go online and download the GIF image...

The astrophysics professor at my university would be fascinated to learn =
that there are fewer than 256 stars in a galaxy. :-)<br clear=3Dall><hr>G=
et your FREE download of MSN Explorer at <a href=3D'http://go.msn.com/bql=
/hmtag_itl_EN.asp'>http://explorer.msn.com</a><br>

------=_NextPart_001_0000_01C12A97.81FC2BE0
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"font:10pt verdana; border:none;"><DIV>> Name or n=
o name, today's image is busy.  It has more colors than<BR>> a ga=
laxy has stars...go online and download the GIF image...</DIV> <DIV> =
;</DIV> <DIV>The astrophysics professor at my university would be fascina=
ted to learn that there are fewer than 256 stars in a galaxy. :-)</DIV> <=
DIV></DIV></BODY></HTML><DIV><BR><br clear=3Dall><hr>Get your FREE downlo=
ad of MSN Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.asp'>=
http://explorer.msn.com</a><br></DIV>

------=_NextPart_001_0000_01C12A97.81FC2BE0--

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

From: [e-mail]
Subject: (fractint) Re: C-FOTD 21-08-01
Date: 22 Aug 2001 07:33:10 EDT

I wrote:

>>Name or no name, today's image is busy.  It has more colors than
>>a galaxy has stars...go online and download the GIF image...

Multiple Bogeys replied:

>The astrophysics professor at my university would be fascinated to learn
>that there are fewer than 256 stars in a galaxy. :-)

So I exaggerated the number of colors a bit.  But it's still a very colorful
image.

Jim M.


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From: [e-mail]
Subject: (fractint) C-FOTD  22-08-01  (Ancient Speculum [6])
Date: 22 Aug 2001 10:15:04 EDT


Classic FOTD -- August 22, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

A speculum is a polished metal surface that reflects light like
a mirror.  In fact, our present-day mirrors consist of nothing
more than a thin reflective metallic coating applied to the rear
surface of a sheet of glass.  The glass does little reflecting.
Its purpose is to hold the metallic reflecting surface flat, so
that the reflected image is undistorted.

In the ancient world, the mirrors consisted of bare sheets of
reflecting metal, without the glass, which most likely were not
perfectly flat, and therefore were prone to distortion.  The
subtly-tinted, silvery areas of today's image remind me of the
distorted reflection from a curved sheet of metal, such as might
have been seen in one of those ancient metal mirrors on one of
its bad days.  This resemblance inspired the name "Ancient
Speculum".

The image was rendered with the outside set to the <fmod>
option, an option with much potential, which deserves to be used
more often.  I chose this option when the normal equal-iteration
bands failed to bring out what in my opinion was the full
potential of the scene.  When all was finished, I studied the
image a few minutes, and rated it a 6.

The image was created by the formula 2(Z^3)+0.8(Z^6)+C.  This
formula is another of those in which the whole is equal to more
than the sum of its parts.  An infinity of lifetimes could be
spent exploring the infinite depths of this one fractal, but
there are an infinity of fractals to explore and I have less
than an infinity of lifetimes in which to explore them, so
tomorrow we'll be investigating a new fractal.

The 5-1/2 minute render time from the parameter file of today's
image is within reason.  A download of the finished GIF image
will be even faster.  That download will soon be available at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was of the routine summer variety,
with lots of sun and a comfortable temperature of 84F 29C.  The
cats showed approval by staying out of trouble.

It's now time to start the day's work, so until the next FOTD,
take care, and think deep thoughts.


Jim Muth
[e-mail]


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

Ancient_Speculum   { ; time=0:05:26.58--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.28797582848267940/-0.002364809300565\
  71/7698498/1/-109.999 params=2/3/0.8/6/0/0 float=y
  maxiter=1200 inside=0 proximity=0.1 outside=fmod
  colors=000qkarjariashasharXWqMRqBMiIJaOHVUFYVH_VIa\
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  Y`1J_5H_9G_AF_AEZADXACUAC
  }

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) C-FOTD  23-08-01  (Totally Illegal [8])
Date: 23 Aug 2001 10:22:17 EDT


Classic FOTD -- August 23, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

Despite the sound of its name, today's image was not named
because it resembles a very sick bird; it was named because it
breaks the law.  Certain rules exist in the world of fractals
that cannot be broken.  Well, today's fractal breaks a major
rule, which makes it "Totally Illegal".  And this is why it got
its name.  Considering the image's hasty coloring, the rating of
8 is high, but the rating is based not only on the artistic
worth, but on the mathematical interest as well.

What rule does the image break?  It looks harmless enough.  On
the surface, it resembles nothing more than a large raspberry
surrounded by smaller raspberries still on their stems.  To find
the crime we must look at the generating formula, which
subtracts 0.425 parts of Z^4.5 from Z^3.5.  These exponents are
fractional, and because of the many-valued nature of the complex
log function, fractional exponents must always draw fractals
filled with discontinuities -- branch cuts as I now call them.

Today's image however contains no visible branch cuts.  It has
therefore broken the law by doing something totally illegal.  I
have not yet checked to see whether the breaks exist at a deeper
level, but I soon will.  I suspect that the breaks are there,
even while hoping that they are not.  Regardless, the
surrounding area holds many interesting midgets, some of which
will surely be making their appearance as FOTD's in the days to
come.

A benefit of the shallow location of today's scene is the speed
with which the image renders.  Even on my tired old fractal
computer, the image finishes in a matter of seconds.  I have
used the passes=b algorithm because not only is it the fastest,
it is also the most fun to see in operation.  And it draws the
image with no loss of detail.

Those who prefer not to render the image from the parameter file
can still find it posted on the internet at the web sites:

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

and:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The weather today here at fractal central turned out to be
another normal summer day with mostly sunny skies and a
temperature of 87F 30.5C.  The fractal cats enjoyed the weather,
but got into a tussle when both wanted the same porch chair,
which left them sulking at each other for over an hour.

I'm sulking a bit because I've failed once again to find time to
write that great philosophy of mine.  But tomorrow is another
FOTD, and I'll have more time before then to think and write.
So check in 24 hours and see what happens.  Until then, take
care, and one person's great wisdom is another's foolish prattle.


Jim Muth
[e-mail]


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

Totally_Illegal    { ; time=0:00:51.90--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=b
  center-mag=+0.53136563368005390/0/149296.2
  params=1/3.5/-0.425/4.5/0/0 float=y maxiter=400
  inside=255 logmap=40 symmetry=xaxis
  colors=0008Ac9Ac9AeAAgABiBCkBDmAEnAEoAFpAFqAFr9Gs9\
  Gt9Hu9Hv9HwCLsEPpHTlJWiMaeOjbRrZTwWmzSszP_zMZqMYmM\
  YiMXeMXaMWXMWSMVOMVKMUHMUGMWIOXMQYPSZTU_WV`_XabZbf\
  `ciaagc_fdYeeWdfUbhSaiQ`jO_kNYlNWmNVnNToNRpMQqMOrM\
  MsMLtMJuLHvLGwLExLCyLBzMEyNHxOJwPMwQOvRRuSTtTWtUZs\
  V`rWcqXeqYhpZjo_mn`on_rr_tvaqpbojdldejZggTheNabRV`\
  UPZXMTQJNKGHDDB7A61DCAFIIHORKUZM_gOeoQdlSciUcfWbdY\
  ba_aZaaWc`Ue_Rg_OiZLkZJmYGoYDqXAsX8pY9mY9jZAgZAd_B\
  b_B_`CX`CU`CRaDPaDMbEJbEGcFDcFBcFCcCCcAEdEGeIIfMJg\
  PLhTNiXOj_OebOcdOcgOciOclOcnOcqOcsRcqTcpVcnXcmZck`\
  cjbchdcgfgfdhgcigbjgajg`kgZlhYmhXmhWnhVohUohVlhWih\
  WfhXchYch`chcchfchichlchochrchuchucgucgtcgtcftcfsc\
  fscercercerddqgdqjdqldphbpeapb`o__oYZo_XnaWncVneUm\
  gTmiRmkQlmPloOlqNksOjuPiwQhyRgzSfzTezUdzVczWbzXazY\
  `zZ`zZXzcSzhOzmKzrGzvMzpRzkWzf`z`ezWjzRozMmzQlzUkz\
  Yjzaizehzigzm7zU7zX8zZ000
  }

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) OT: Sterograms
Date: 24 Aug 2001 06:49:10 GMT

On Mon, 20 Aug 2001 09:50:50 +0000, "Andrew Coppin"
<[e-mail]> wrote:

>Oh WOW! How on earth is this possible?!?! ASCII sterograms... AND they =
WORK!=20
>Nice one!

Sadly I never figured out how to see it. Agent said I had an encoding
error when I tried to save it and didn't know how to launch an
octet-stream when I tried to launch it.=20


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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 24 Aug 2001 02:11:10 -0500

Elaina "Juice" B. T. wrote:
>
> Agent said I had an encoding error when
> I tried to save it and didn't know how
> to launch an octet-stream when I tried
> to launch it.
>

The "octet-stream" is a generic Content-Type, as opposed to the
different sub-types (e.g., application/postscript,
application/x-macbinary, and application-msword), which apply to
specific kinds of files.  These are usually from binary file attachments
in the MIME standard (Multi-purpose Internet Mail Extensions).
Typically, it will be either an application, or a document which must be
opened in an application (such as a spreadsheet or word processor).  If
the attachment has a filename extension associated with it, one is
usually able to tell what kind of file it is (such as a JPEG format).

No matter what kind of file it is, an application/octet-stream
attachment is rarely viewable in an e-mail, Usenet, or World Wide Web
program.  Using an email client, such as Eudora or Outlook, the
application should be able to extract and download the attachment
automatically.  You must then open the attachment in the appropriate
application to view its contents.

But in the case of Morgan L. Owens' posting, I do not believe the
attachment was anything worth troubling over.  It was the Link in the
email message that directed one to the actual ASCII-art stereograms:

      http://www.cs.waikato.ac.nz/~singlis/sirds.html

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

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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) OT: Sterograms
Date: 24 Aug 2001 19:48:01 +1200

At 02:11 24/08/2001 -0500, Paul N. Lee wrote:

>But in the case of Morgan L. Owens' posting, I do not believe the
>attachment was anything worth troubling over.  It was the Link in the
>email message that directed one to the actual ASCII-art stereograms:
>
>       http://www.cs.waikato.ac.nz/~singlis/sirds.html

That was indeed my intention. I haven't the faintest idea where the
attachment came from - for some reason Twig just decided to go SQUARF! at
that point or something; I wasn't posting from my usual location.

Morgan L. Owens
"= what?"




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

From: [e-mail]
Subject: (fractint) C-FOTD  24-08-01  (Also Illegal [8])
Date: 24 Aug 2001 11:06:58 EDT


Classic FOTD -- August 24, 2001 (Rating 8)

Fractal visionaries and enthusiasts:

Due to an unexpected rush of non-fractal work, I have little
time to write the fractal discussion.  So I'll have to let the
image speak for itself.

Today's image is actually a zoom into yesterday's "Totally
Illegal" image.  Like yesterday's image, it lacks the
discontinuities that would be expected in a fractal created by a
combination of Z^3.5 and Z^4.5.

Since it is the second consecutive illegal image, I have named
it "Also Illegal".  Since I gave the coloring considerably more
attention than the first "Illegal" image, I have rated today's
image another 8.

The parameter file renders in 5 minute.  In an hour or so, the
rendered image will be available for download at:

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

and at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was more normal summer stuff, with
several threats of rain but none actually falling.  The
temperature of 84F 29C made the cats happy.

It's now time to tackle that load of work that waits.  Until
tomorrow, take care, and keep fractalling.


Jim Muth
[e-mail]


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

Also_Illegal       { ; time=0:05:09.23--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=mandelbrotmix4 function=ident passes=b
  center-mag=+0.53136285893222390/0/2.291594e+012/1
  params=1/3.5/-0.425/4.5/0/0 float=y maxiter=1700
  inside=255 logmap=288 symmetry=xaxis
  colors=000C7PD7UD8SD9WDA`ECcEDeEEgEGj9Hl5Io0Hk0Je0\
  N_0LU6PNATOGVPKYQP_RUaT_dUdfVhhWmkYrmZwm_zAuzDpzEl\
  zHhzIdzK`zLYzOTzPPzRLzTHyVDyZ9ya5zg1zj0zm0zq0rk6of\
  CkgIghOdjU`k_YleUmkQmqQegQYZQPPQHGK96Q20Z79fCNoH_w\
  KkzJlzImzIozHpzHqxGrpGskEmdDlaDc_CVoCyvAzxAzz9zz9z\
  kDuVGlGIeTQfdZg_`aVhY`mVguTsxRxyPzzOzzLkwKlxIoxHqx\
  EsyDvyAxz9zz7zz6uvCoqIhlOagUWd_Q_eJVkDQq7Nv9OrAPpD\
  PmEQkGQhIRfJTdLT`NUZOUWQVURWRUWPVYNWYKWRKTNKRIKPEK\
  ODKQGNTKPVORYTU_WVa`Ycd_dhaelccje`hfZggWfhUdkRclPa\
  mN`oLZpD70C30A00D51G92ID3KI5NL6OQ7QV8TZ9VcAYfC_kD`\
  oEYjIUfLQaONZRKUUHQYDL_9Ic7EeACgEAjH8kK7mO5oQ3qU1r\
  Y0u_0vc0xe0yf1wf6ufAsgGqgKpgPmhVlh_jhdhjhfjmejrcjw\
  alvZmuWosTprQqqNrqKspIuoEvmCwl8xk6yk3ceUIerNeoQekU\
  ehYee`ecde_geWkeUoeQreOveKyeIueHpfGkgEghDcjCZkCUlA\
  Qo9Lp8Hq7Cs68v6AxADzGGzK7zv9zuCzsHzpIzoKzmNzlzzAzz\
  9rzAgzCWzDLzEAzGCzECzD000
  }

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) C-FOTD  25-08-01  (Fractal Fairyland [7])
Date: 25 Aug 2001 10:41:55 EDT


Classic FOTD -- August 25, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

Another too-busy day brings another shortened discussion.

Today's incredibly intricate image reminds me of many things.
Sometimes I see a fantastic forest, or a flower garden in
twilight.  But most of all I see a place where fairies play -- a
"Fractal Fairyland".

The generating formula mixes portions of Z^(-1.45) and
Z^(-14.5).  The escape radius, which is in the astronomical
range, has evaporated the fractal, leaving an image composed of
only trapped points, which with the inside set to the normal
color=0, appears as a blank black screen.  The inside fill of
bof61 takes this blank screen and brings it to life, resulting
in today's FOTD.

Lacking the time to do a top-notch coloring job, I could rate
the image only at a 7 -- a rating that is still above average.
Optimal colors could raise the rating to 8.  With a render time
in the 5-minute range, the parameter file borders on the
sluggish.  A download of the GIF image from:

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

or:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

will be far less sluggish.  But before going for the download,
wait long enough for the image to be rendered and posted.

The fractal weather today was perfect for this time of year,
with mostly sunny skies and a temperature of 86F 30C.  The cats
enjoyed the perfection, though things are beginning to get a bit
dry here at Fractal Central.

With so much work to do, I had no time to philosophize.  I can
only offer my deepest apologies to those disappointed members of
the philofractal list who are waiting eagerly for the next
outburst of fractal wisdom.

Today will once again be busy, but I'll try to have a bit of
the wisdom ready by tomorrow.  Check then to see whether I make
it.  Regardless, I'll have another FOTD ready within 24 hours or
less.  Until my next appearance, take care, and who knows what
fractals lurk in the depths of fractal-land?


Jim Muth
[e-mail]


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

Fractal_Fairyland  { ; time=0:04:51.93--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.59746173820668700/-0.777078082651533\
  70/7.023296e+008/1/12.499 params=3.5/-1.45/0.5/-14\
  .5/0/1e+130 float=y maxiter=1200 inside=bof61
  colors=000dOmmEwdCkkAgr8by7Yz4Tz2Pz0Myg0ez0Xz7Oz`E\
  zzIzwMztPwpTnnXdkYVgbKd000i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4\
  `M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pnEkd\
  PeV``KkVAvP0zM0zI00V08eAGpKOzVVzebznizdkvTmgInV7pI\
  0r80b02O0480000700700702704A04E04G07K77MC7PI8TO8VT\
  8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\
  RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m0\
  7zP4zPv0`dOkMkVzzgbzCz7ykGtG4tCMtAbt7r0000`zXApMR0\
  YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eYv00P00\
  Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz\
  4vy4zibRmRepGtIP0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrm\
  yTwTe`gOpznzzbzzRzwGztt0z0Yz0gz0py0ykOzzznIwzTizbX\
  zkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0\
  zzzRzzGz0V07OEOIXdAn000M0Y0AzA8zY7zm0Cn0Rp0er0tE40\
  T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYPpiEyz0zz0zy0\
  zv2zTm0bYIkKgv00t0At0dVYb
  }

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) C-FOTD  26-08-01  (Deep in Seahorse valley [7])
Date: 26 Aug 2001 10:05:40 EDT


Classic FOTD -- August 26, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

After all these years of exploring as many odd fractals as I
could conjure up, I still consider the Mandelbrot set to be the
best fractal of all and Seahorse Valley to be the best area of
the Mandelbrot set.  What could be more natural then, when one
has little time to search, than to go to the best area of the
best fractal.

I found today's midget automatically.  No blind searching was
necessary, as it usually is when I am exploring the fractals
created by the MandelbrotMix4 formula.  I knew before reaching
the spot that a midget would be there, though I had only a vague
idea of its appearance.  The midget I found is today's FOTD.

Actually, I spent more time coloring the image than finding it.
The colors were broken to emphasize the rings surrounding the
midget.  Since it is only another Mandelbrot midget, the image
would normally rate a 5, but I feel that the coloring raises it
to a marginal 7.  The name "Deep in Seahorse Valley" tells the
location of the scene.

The scene lies well into the range where arbitrary precision
math becomes necessary, so it is a slow one, rendering from the
parameter file in an unlikely exact 26 minutes.  But it is no
slower than some of the images I create with the M-Mix4 formula.
Those with computer time to spare will view the scene by
rendering it from the attached parameter file.  Those with other
things to do will download the image from one of the two
following web sites:

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

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

But in the download case, the drawback is that the viewer must
wait until Paul and Scott have had a chance to render and post
the image.

The fractal weather today was once again of the normal summer
variety, though if no rain falls within a few days, I'll have to
set up the fractal lawn sprinkler.  The fractal cats enjoyed the
temperature of 84F (29C).

I must once again apologize to the philosophy fans, who have
waited so patiently for the philosophy, only to be disappointed
again and again.  But I assure you that I have much to say.  I
lack only the time in which to say it.

It's now time to turn to other tasks.  I'll return however in 24
hours regardless of what may happen.  (Except the end of the
world)  Until then, take care, and raise the Hamiltonian.


Jim Muth
[e-mail]


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

DeepInSeahorseValy { ; time=0:26:00.00--SF5 on a P200
  reset=2001 type=mandel passes=b center-mag=-0.7678\
  00719424891301165867/0.117210521723807426016338/1.\
  011233e+019/1/28.587/-0.114 params=0/0 float=y
  maxiter=2700 inside=255 logmap=447
  colors=000LHuKKvKNvJQvJSwJVwIYwI`xIbxHexHhyGkyGmyG\
  pzFszFvzFxzczzQ8QSEUUKXWQ`XVcZXe`YfaZgc`heaifbjhck\
  jelkfmmgnoiopjprkqrjrngqicpd_o_WnVSmQOlMKkIKcFKXCK\
  P9KI6KB9LBBLBELBGMBJMBLMBONBQNBSNBUMCVMDXLEYLE_KF`\
  KGbJGhzUewIAwIAtJAqKAnKEkdGhbIeaKb_M_ZNXXPUWRRVTOT\
  VLSVIQWFPXCNY9MY6LW9JUCIUFHUHGUKFUNEUQDUSBUVATY9S`\
  8Rc7Qg6Pk5Pn4Op6Oq7Os8Ot9OvAOwBOzCOzUSzcWzm_zwczzg\
  zzkrsorzdrvVrsLmpQhmUcjZZgcUehPbmK_rFXw0Ux5UxAPxFG\
  wJ7uOBsSFqWIo_MmdQkhTimXgo_eo7cpCapHWqLVqQUrPSrOQs\
  MOsLMrKKqJIpIGnHHlIHjIIhJIdJJ`KJXKKTLKPLLLMLHMLDMN\
  FOOHPPJRRLSSNUTPVVRXWTYXV_ZX`_Zb``cbbecdfdegeghfii\
  gkihmjhnkipkjrAktApqApq7qrAqrCqsEqsGrtJrtLrtNruPsu\
  SsvUsvWsvYpuYmuYjuYhuYeuYbtY_tYYtYVtYStYQsYOqMMoOK\
  mP0kQ3mT6oV9qXCsZFuaIwcLyeNzgQzjTzlWznZzpazsdzugzw\
  izykzvlztnzqozopzlrzjszguzevzbwz`wzHtzKrzMpzOnzRlz\
  TjzVhzXdzo`zpXzrTzsPzt000
  }

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

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

From: Guy Marson <[e-mail]>
Subject: Re: (fractint) C-FOTD  25-08-01  (Fractal Fairyland [7])
Date: 27 Aug 2001 08:19:18 +0200

At 10:41 25/08/01 EDT, you wrote:
>
>Classic FOTD -- August 25, 2001 (Rating 7)
>
>Fractal visionaries and enthusiasts:
>
>Another too-busy day brings another shortened discussion.
>
>Today's incredibly intricate image reminds me of many things.
>Sometimes I see a fantastic forest, or a flower garden in
>twilight.  But most of all I see a place where fairies play -- a
>"Fractal Fairyland".

ok, so far ..

While playing around with one of the FOTD's I fund a Fractint-bug,
producing a nasty hanger of Fractint ..


boundary-bug       { ; Version 2001 Patchlevel 13
  reset=2001 type=formula formulafile=fractint.frm
  formulaname=mandelbrotmix4 function=recip passes=b
  center-mag=+1.59746173820668700/-0.77707808265153370/7.023296e+008/1/12.\
  498 params=3.5/-1.45/0.5/-14.5/0/1e+130 float=y maxiter=1200
  inside=zmag outside=imag decomp=32
  colors=000dOmmEwdCk<2>y7Yz4Tz2Pz0Myg0ez0Xz7Oz`EzzIzwMztPwpTnnXdkYVgbKd00\
  0i0Ym0Vn0Tk0Oi0Kg0Ed8AbG4`M0YT0V`0Te0Rm0Pr0Kt0Gt8CtO8tb4tnbzGzz0zz0000pn\
  E<3>VAvP0zM0zI00V08<2>zVVzebznizdkvTmgInV7pI0r80b02O0480000700700702704A\
  04E04G07K77MC7PI8TO8VT8YY8`dRbkgdryqyzezzjzzbwt_tnYpgTm`ViTTeORbGPY8OV2M\
  RMMYdMetMkrO7tEbK8iT7pb7vk4z00dTv0gVV2I0IE7VARg7m07zP4zPv0`dOkMkVzzgbzCz\
  7ykGtG4tCMtAbt7r0000`zXApMR0YKMiCi20zV2z7yPXXkEzp0zdRYr70bK0kX0ri0yPz0eY\
  v00P00Eb2Rz7bzXvzvzyyz`zmAzY0zK2pXvRwM`idKvGTz`Gzz4iz4pz4vy4zibRmRepGtIP\
  0MrbVekdTrmGyzz0zzKwYiR0dyM0z00zrmyTwTe`gOpznzzbzzRzwGztt0z0Y<2>y0ykOzzz\
  nIwzTizbXzkIzzz8z4tw4yv4z00tPz0Yv7edRmMmdMEYR`iGpXpIe``mKp0zzzRzzGz0V07O\
  EOIXdAn000M0Y0AzA8zY7zm0C<2>r0tE40T4Mg4iz0zz0zz0zw0zw0yv0zt0zzz0Ci`OYiYP\
  piEyz0zz0zy0zv2zTm0bYIkKgv00t0At0dVYb
  }


cheers,

Guy

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

From: "Cerridwen Connelly" <[e-mail]>
Subject: (fractint) fractal satire
Date: 27 Aug 2001 11:27:08 +0100

Jim,

Your Mandelbrot stills are totally (to use an overworked word) awesome!

This page combines the classic with the oddly humorous, if anyone wants to
look at my (if nothing else) fast-loading page.:-)

http://www.technopagans.co.uk/FRAC.HTM

Yn y Gwe,

Cerri (Cerridwen) Connelly
http://www.technopagans.co.uk
http://www.pagantours.co.uk
http://www.users.bigpond.com/catfishy



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From: [e-mail]
Subject: (fractint) C-FOTD  27-08-01  (Mandelbrot-01 [6])
Date: 27 Aug 2001 10:14:02 EDT


Classic FOTD -- August 27, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

I'm kind of rushed again today, so the fractal discussion will
once again be short.

Today's image is part of the classic Mandelbrot set.  Although
this particular fractal has been explored far more than any
other, no more than zero percent of its totality has so far been
discovered.  With today's FOTD image, we increase the areas that
have been discovered while not decreasing the unknown areas.

The midget at the center is still out of sight, though there can
be no doubt that a midget is there.  The infinitesimal size of
the midget is normal.  As the magnitude increases in the
Mandelbrot set, the pattern around midgets also increases in
size, until in cases like today's, it is impossible to show both
the midget and its entire pattern in the same frame.

Today's image lies in a pattern surrounding a larger midget on a
side filament extending northwest from the main bud.  I named it
"Mandelbrot-01" more as a catalog number than an artistic title.
Naturally, the next image from the M-set will be number 02.
Because of a little extra effort in the coloring, I rated the
image a 6.

Due to the extreme depth of the scene, the parameter file
requires well over an hour to render.  But the viewer can avoid
the rendering blues by letting Paul and Scott do the rendering.
After giving them a chance to render and post the image, it may
be downloaded from their web sites at:

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

and:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was once again of the normal summer
variety, with the partly cloudy skies and temperature of 83F 28C
making the cats happy and weather buffs bored.

But one way to avoid boredom is to have a load of work that
needs to be done.  And at this time I am not bored.  So until
tomorrow, take care, and before we can raise the Hamiltonian, we
must find where it sank.


Jim Muth
[e-mail]


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

Mandelbrot-01      { ; time=1:40:43.01--SF5 on a P200
  reset=2001 type=mandel passes=1 center-mag=-1.2409\
  635096879517732837974300239922/0.38286377424493783\
  623298045039699444/1.305868e+030 params=0/0
  float=y maxiter=2800 inside=0 logmap=1150
  colors=00084Q84Q94RA4SB5TC5UD5VE6WF6XG6YH7ZI7_J7`K\
  8aL8bM8cN9dO9eP9fQAgRAhSAiTAjU7kVAlWCmXFiYHdZK`_MX\
  `PSaRObUKcWGbYEa_C`aB_b9Zd8Yf6Xg5WhAViEUiITjMSkQRk\
  URlYUmbXmfZnjaoncorfpvhpzdlwahuZdrW`pTXmQTkMPhJLfG\
  HcDDaA9Z75X41VBK3DM2EN2GO2HQ2JR2KS1MU1NV1OW1QY1RZ0\
  T_0Ua0Wb0Xc0Yd0Vf2Sh4Pj6Pl8UnAZpCcrEhsGlrIjuJcuIhw\
  HowGqvGpvFovEnvDmuDmuCmuBmuAmtAmt9mt8nt8lfFjUMiHSj\
  KQjNPjPOjSMjULjXKjZIjaHjdGjfEjiDjkCjnAjp9js8ju7dl5\
  Zd4TW3NO2HF1C70BE8BKFBRMAXUAc`AigDljGnlJpnMspPurSw\
  tUyvXqr_jnbbjeWfhPbbLdYHfTDhOAjPChQEfQGeRHcSJaSL`T\
  NZTOYUNXVMXVLXWKXWKWXJWXIWYHWZGWZGV_FV_EV`DV`DVXIX\
  UMYRR_OV`LZbIccFgeCkf9ph6ti3xj2pb1iV1aN0VF0O77TBDY\
  EJbHPgLVpO`rROhUCUX0J_AP`KV`U_`ce`rk`tp`qn_bm_SlZI\
  kZ8jZYhXcgVkbb`YiRTpYNrdNtjUuqZwwcxtcsqcoocjlcfjcb\
  gcYecUbcQ`cLYhHWmDUrCSwBQzAOz9Mz8Kz7Iz6Jz5Kz4Lz3Lz\
  2Mz8NzEOzJOzPPzUQz_QzeRzj
  }

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

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

From: [e-mail]
Subject: (fractint) Re: C-FOTD  25-08-01  (Fractal Fairyland [7])
Date: 27 Aug 2001 15:28:02 EDT

Guy Marson wrote:

>While playing around with one of the FOTD's I found a Fractint-bug,
>producing a nasty hanger of Fractint .
           <parameter file snipped>

Yep, it's a hanger bug.  The passes=b algorithm is the most prone to
misbehave, but it's also the most fun to watch, and sometimes the
fastest of all, at least with those images that do not confuse it.  Your
parameter file can be correctly rendered with any of the other
algorithms.

Jim M.

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From: [e-mail]
Subject: (fractint) C-FOTD  28-08-01  (County Fair  [6])
Date: 28 Aug 2001 11:09:43 EDT


Classic FOTD -- August 28, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Another busy day brings yet another shortened FOTD.

Today's fractal is so busy, almost frantic, it has so many
bright colors and lights, so much activity that it reminds me of
the county fair.  What better name to give it then than "County
Fair"?  And what better rating than a 6?

The formula that created the image combines a lot of negative
Z^(-1.8) with one negative portion of Z^(-13) before adding
(1/C).  I'll not try to describe the indescribable and very
complex parent fractal, which is well worth a look even though
it is too large to fit on the default opening screen.

The parameter file renders in under 7 minutes; the GIF image
file downloads in under 1 minute.  The parameter file is
attached to the bottom of this letter; the GIF image will soon
be available on the following web sites:

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

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today here at FC was sunny and a bit too
warm for comfort.  At sunset however a cool gust of wind arrived
from some thunder-storms to the north, and the night turned out
near perfect.  The fractal cats accepted the afternoon
temperature of 88F 31C and evening temperature of 74F 23C
without comment.

I now find myself with a pile of work to do, so until next time,
take care, and where was the Hamiltonian last seen?


Jim Muth
[e-mail]


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

County_Fair        { ; time=0:06:49.36--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.2246622685313890/-0.0475014016152398\
  2/1.378474e+011/1/-177.501/0.009 params=-1/-13/-11/\
  -1.8/0/800 float=y maxiter=750 inside=0 logmap=139
  colors=0008pl4pvMaVcO3YMFSKRNIaVKcbLdjMfrNgyOhrK`k\
  GTeCLZ8DT56XA7`E8dJ9gNAkSBoWCs`DvdD`NBG5AN8BUAC`CD\
  fFEmHFtJGzLGbSaGZwMbwRewXiwalwfpwlswqwwvzwLZeIWbGU\
  `ERYBPW9MT7KRDISJGTPFUUDV_BWeAXk8Yp7YdFdUMkJUr8`xN\
  fl`laZjcYheWffVdhTbiS`kRZlNSnKLpGEqD7sA0t92n93h95b\
  86Y88S89M8AHA8NC7SE6XG5aPEYXNUeVRmcNukKnjLhjLbiMXi\
  MQhNKhNEgO8gO7kR6nT5rW5uY8bcBKiD2nM2qU2sa2ui2wkAxm\
  HxnOypWyrbzsizgdsX_lMVeBQZ0MT3KQ6IN9GLCEIFCFIBDMIJ\
  POPSUVW``ZffalkYjlVimShmPgnMfoJeoFQTCB7J96P76V56`3\
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  XQVRQXLQ_FQaAQMoLWiWddfTbUI`H7_49JEA3ODBVFIaIQhKXo\
  MZlO_iQagSbdUdaWe_YgX_hVxNNnNQeNTXNWONZFNaEQdDSfCV\
  hBXkA_m9aoVigpp`imZbjXWgVPeUIbSB_Q5YPFWROUTXTUeRWn\
  PYwOZmWWdcUVkRMsPDzNJwTPtZVqc`nifln_h`TeOMbBOe9Pg8\
  Ri6Sk5Um4Vo2Xq1Ys0Tr8OrGJqNEqVAqaBr_CrYDsWEsUEsSOd\
  GYQ4eIEmAOUXGVVCMqIHpTDpb
  }

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: "Multiple Bogeys" <[e-mail]>
Subject: Re: (fractint) C-FOTD 28-08-01 (County Fair [6])
Date: 28 Aug 2001 12:46:21 -0400


------=_NextPart_001_0001_01C12FBF.70E50200
Content-Type: text/plain; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

> And what better rating than a 6?

Umm, 7, 8, 9, or 10? :)<br clear=3Dall><hr>Get your FREE download of MSN =
Explorer at <a href=3D'http://go.msn.com/bql/hmtag_itl_EN.asp'>http://exp=
lorer.msn.com</a><br>

------=_NextPart_001_0001_01C12FBF.70E50200
Content-Type: text/html; charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<HTML><BODY STYLE=3D"font:10pt verdana; border:none;"><DIV>> And what =
better rating than a 6?</DIV> <DIV> </DIV> <DIV>Umm, 7, 8, 9, or 10?=
 :)</DIV> <DIV><BR> </DIV></BODY></HTML><DIV><BR><br clear=3Dall><hr=
>Get your FREE download of MSN Explorer at <a href=3D'http://go.msn.com/b=
ql/hmtag_itl_EN.asp'>http://explorer.msn.com</a><br></DIV>

------=_NextPart_001_0001_01C12FBF.70E50200--

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

From: "JackOTradez" <[e-mail]>
Subject: (fractint) FRACTINT utility
Date: 29 Aug 2001 08:07:28 -0400

This is a multi-part message in MIME format.

------=_NextPart_000_000C_01C13061.A5034360
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Fellow Fractalnauts:

I have been playing with Fractint / Chaos for some time now; just got my =
1st WEB page up about a month ago. I am doing DEEP zooms as well as a =
MAJOR fractal video project.

I had to write a little utility for this; it runs in windows and creates =
a batch file to automate zoom sequences with Fractint. Unlike the =
other(s) out there, mine seems to, uhh, work!

If interested, you can fetch it free at my WEB site if you want.   =
http://www.sonic.net/~jot/

Stay Amazed!

Jack


------=_NextPart_000_000C_01C13061.A5034360
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4134.600" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ff0000>
<DIV><FONT color=3D#000000 size=3D2>Fellow Fractalnauts:</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>I have been playing with Fractint / =
Chaos for=20
some time now; just got my 1st WEB page up about a month ago. I am doing =
DEEP=20
zooms as well as a MAJOR fractal video project.</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>I had to write a little utility for =
this; it=20
runs in windows and creates a batch file to automate zoom sequences with =

Fractint. Unlike the other(s) out there, mine seems to, uhh, =
work!</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>If interested, you can fetch it free =
at my WEB=20
site if you want.   <A=20
href=3D"http://www.sonic.net/~jot/">http://www.sonic.net/~jot/</A></FONT>=
</DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>Stay Amazed!</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>Jack</FONT></DIV>
<DIV> </DIV></BODY></HTML>

------=_NextPart_000_000C_01C13061.A5034360--


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

From: [e-mail]
Subject: (fractint) C-FOTD  29-08-01  (Mystical Mandelbrot [6])
Date: 29 Aug 2001 11:14:00 EDT


Classic FOTD -- August 29, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

When the FOTD discussion is short, it is a sign that things are
very busy here at Fractal Central.  Today's discussion is rather
short; things are rather busy.

I am fascinated by mystical and paranormal things.  I even feel
that some of these mysterious, questionable, and apparently
impossible things might in fact exist.  I realize that my belief
contradicts science as it now stands, but this merely
demonstrates that IMO science has much yet to discover that will
not fit in with our current assumptions of the nature of reality.

The dark somber colors of today's fractal lend an air of mystery
to the scene, making it fully worthy of its name, "Mystical
Mandelbrot".  The name also has a harmonious sound when spoken
aloud, which could serve as a mantra for meditation.  The rating
of 6 is becoming a habit which needs to be broken.

The formula that created the parent fractal takes 3.1 parts of
Z^(-2) and subtracts twice as much Z^(-20) before adding 1/C.
This formula draws a large ocean with a smaller Mandelbrot set
on the X-axis to the west.  The entire scene has X-axis
symmetry.  Today's midget lies in the center of the north branch
of Seahorse Valley of this smaller M-set.

The best way to see the location of today's scene in relation to
the entire fractal is to back out one step at a time, using
thumbnail-size preview images, until the entire fractal is
visible.

The image is a slow one, so the best way of viewing it is to
give Paul and Scott a chance to render and post it, then to pick
up the GIF image from their web sites at:

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

and:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was sunny and hot, with a temperature
of 93F 34C.  The fractal cats acknowledged the heat by doing
nothing.  But unlike the cats, who are still doing nothing, I've
got lots to do and limited time in which to do it.  Until next
time, take care, and see you soon.


Jim Muth
[e-mail]


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

MysticalMandelbrot { ; time=0:39:07.68--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-1.27323034485865200/+0.001129817995900\
  75/6.941571e+009/1/95 params=3.1/-2/-6.2/-20/0/800
  float=y maxiter=6000 inside=0
  colors=000A0P00OA0WE0`J0eN0kS0pW0tZ0zb0zg0zk0zp0zt\
  0zv0zt6ztHztSztbztmztyztzzzzztzzgzrUkeHUQz80z00z01\
  z03z36zA8yH8pNAeUCW`CLgECmH1tH0zJ0zL0zL0zN0yN0tN0m\
  N0iN0bN0ZN0SN0LN3HN6AN86NC0NE0NH0NJ0NL0SL0WL0`L6eL\
  AiNEmNLrNQtNUyN`zQezQizQpzQtzQyzQzzLtzHmpCeZ8ZHQWE\
  gWEvUCzUCzUCzQAzLAzJAzEAzCAz8Az3Az18z08z08z08z08z0\
  8y08y08v08t08ggb``bUSeNJgHCgA3i60i16g0Ce0Lb0S`0`Z0\
  gZ0pW0vU0zS0zQ0zN0zN0zHAeASH3U30b00i00p0Av0Nz0Zz0i\
  z0zz0tz0kz0ez0Wz0Jz0Nz0Qz0Sz1Uz3Wz8ZzA`zCbzHgzJizN\
  kvQmtSppWrmZtkzmk`vk6zm0zk0zk0zk0zk0vi0ri0pi0ki0gg\
  0bg3Zg6Uk0Lg8SbHWZN`UWeSeiNkmJttEzyCzz8zz3zz0zz0zz\
  0zz0zz0zv0zm0vg0mZ0eS0ZJ0QC0H308000000000000000000\
  000000000000600C00J30Q60WA0bE0iH0pL0vN0zQ0tS0mS0iU\
  0bW0WW0SZ0L`0E`0Ab03g00b00Z00U00Q01L31H61CA38E33J3\
  0N60S60W00U60UA6UEESJLSNUSS`SWiQbrQgyQkzNpzNtzNy00\
  `Z1pzNzzUzzAtq3p00000000K
  }

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) C-FOTD  30-08-01  (Butterflies Coming [6])
Date: 30 Aug 2001 11:08:58 EDT


Classic FOTD -- August 30, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Instead of being surrounded by fancy rings, today's unusual
midget is surrounded by fragments, which at a quick glance
resemble butterflies.  I think the insect was long ago called a
flutterby, but the original descriptive word somehow got changed
to the much-less-sensible word, butterfly.  But regardless of
where the name came from, the fluttering lepidoptera are in the
picture, and they appear to be coming closer, justifying the
name "Butterflies Coming".  Whether the rating of 6 is fair,
stingy or generous is up to the viewer to decide.

The parent fractal results when 51 parts of Z^2.49 are
subtracted from 51 parts of Z^2.51 before adding C, and Z is
initialized to a critical value.  This parent resembles the
fractal produced by the formula Z^3.05+C, with a double main bay
with East-type Valleys on both the east and west sides.  Today's
scene lies in a chaotic area on the south side of the west
valley, which is beginning to split.

With its render time of under 3 minutes, running the attached
parameter file is a rather efficient way of seeing the floating
fractal butterflies.  A slightly more efficient way is to give
Paul and Scott a chance to render and post the image, and then
to download it from one of their sites.  Paul's site is at:

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

and Scott's is at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today here at FC was partly cloudy with a
temperature of 84F 29C.  The cats, who enjoy such ideal
conditions, took advantage of the day's weather by spending
several hours in the yard.  Tippy, the tabby, interrupted his
enjoyment by chasing off an intruding cat, while Thomas, the
oversized yellow-orange one, watched with interest.

It's now time to do the things that need to be done, so until
next time, take care, and when the impossible happens, it never
was impossible in the first place.


Jim Muth
[e-mail]


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

Butterflies_Coming { ; time=0:02:40.60--SF5 on a p200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.145097748537010/-0.03306885818455196\
  /62417.47/1/155 params=51/2.51/-51/2.49/0/0 float=y
  maxiter=400 inside=0 logmap=27
  colors=000PdvSduUdsXdr_dqcdofdnhdmjdlkemlgnnioojoq\
  lprnqtprurrwssxutyvtxvpwumvtjvsgurdtrasqZspWroTqnQ\
  pnNpmKolHnkEmjBmj8jg7he7eb7c`7`Y7ZW6WT6UR6RO6PM6QL\
  8RLASLCTKEUKGVKIWJKXJMYJOZIQ_IS`IUaHWbHYcH_bIZbIYb\
  JXbJWbJVaKVaKUaKTaLSaLRaLRZNPWPNURLRTKPVIMXGJZFH`D\
  EbBCcABdCBeEBfGAfIAgKAhMAhN9iP9jR9kT8kV8lX8mZ8m_Eq\
  YKuWQxUWzSazQfzPhzSiwUjqWkkYle_m_anUcUiO9y88vB8sD8\
  pF8nI8kK8hM8fOCeRFdUIcXMbZPbaSadV`gZ_iaZlzZozYrzXt\
  zWwzVzzVzzczzlzztzzqxznwzkuzitUfrUcqU`ozZnzWlzTkzQ\
  izOhziXzfWzcWzaWzZWzWWzUWzRWzPWzMWzJWzHWzEWzCWzMcz\
  Wjzeqzoxznwznvznuznuzntznsznsznrzmqzmqzmpzmozmozmn\
  zmmzmmzonzpozqozrpzspztqzvrzwrzxszyszztzztzzuzzvzz\
  wzzxzzyzzzzzzzzzzzzzxzzrxzlwzfuz`szWrzZkzadzcYzfRz\
  hKzJFzIIzIKzHMzHOzHQzGTzGVzFXzFZzF`zEczEezDgzDizDk\
  zQlzblzdbzfUzhLzjCzhGzgKzfNzeRzdUzcYzaaz`dz_hzZkzY\
  ozXrzWqzWqzezzdzzdzzdyzdw
  }

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: "Chris Curnow" <[e-mail]>
Subject: (fractint) OK I give up!
Date: 30 Aug 2001 23:40:23 +0100

This is a multi-part message in MIME format.

------=_NextPart_000_0045_01C131AD.23541220
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

TOTALLY OFF TOPIC!!

Jim,

I've been trying for over twelve months to work out which city you live =
in, and you're driving me frantic!

You nearly gave it away earlier this year when your 'downtown was =
closed' but they didn't report it on CNN!

I'm fed up with studying weather reports from the States.  Please tell =
us which city, or at least which state!

Thanks,
Chris

------=_NextPart_000_0045_01C131AD.23541220
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 http-equiv=3DContent-Type content=3D"text/html; =
charset=3Diso-8859-1">
<META content=3D"MSHTML 5.50.4611.1300" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>TOTALLY OFF =
TOPIC!!</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Jim,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>I've been trying for over =
twelve months=20
to work out which city you live in, and you're driving me =
frantic!</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>You nearly gave it away =
earlier this year=20
when your 'downtown was closed' but they didn't report it on =
CNN!</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>I'm fed up with studying =
weather reports=20
from the States.  Please tell us which city, or at least which=20
state!</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2></FONT> </DIV>
<DIV><FONT face=3D"Comic Sans MS" size=3D2>Thanks,</FONT></DIV>
<DIV><FONT face=3D"Comic Sans MS" =
size=3D2>Chris</FONT></DIV></BODY></HTML>

------=_NextPart_000_0045_01C131AD.23541220--


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

From: [e-mail]
Subject: Re: (fractint) OK I give up!
Date: 30 Aug 2001 19:04:59 -0500

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<body bgcolor="#FFFFFF">
Chris:
<p>Hardly OT, the location of Jim Muth is in virtually every FotD !!
<p>Just find one (yesterday's??) which refers to "<b><u>Fractal Central</u></b>"
- always a hyperlink - and you'll get a map of the Washington-Baltimore
area, which - if you then go to Yahoo.com's "Map" function, will allow
you to further zoom in. Eventually, we'll track him down.
<p>Just Google-ize the fractal cats - famous in their own right - whose
legal names we now know to be:
<p>1) "Tippy The Tabby", and
<br>2) "Thomas T. Oversized-Yellow-Orange-One".
<p>{Don't be embarrassed - I was going to ask Jim what the Fractal Cats'
real names were today anyway, so if you hadn't asked about Jim's address,
I'd have probably done so. . . }
<p>D. Freed
<p>Chris Curnow wrote:
<blockquote TYPE=CITE><style></style>
<font face="Comic Sans MS"><font size=-1>TOTALLY
OFF TOPIC!!</font></font> <font face="Comic Sans MS"><font size=-1>Jim,</font></font> <font face="Comic Sans MS"><font size=-1>I've
been trying for over twelve months to work out which city you live in,
and you're driving me frantic!</font></font> <font face="Comic Sans MS"><font size=-1>You
nearly gave it away earlier this year when your 'downtown was closed' but
they didn't report it on CNN!</font></font> <font face="Comic Sans MS"><font size=-1>I'm
fed up with studying weather reports from the States.  Please tell
us which city, or at least which state!</font></font> <font face="Comic Sans MS"><font size=-1>Thanks,</font></font><font face="Comic Sans MS"><font size=-1>Chris</font></font></blockquote>

</body>
</html>


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

From: "Marcus Adriana (MLS)" <[e-mail]>
Subject: (fractint) .pt
Date: 30 Aug 2001 22:31:06 -0300

As far as I know, ".pt" means Portugal, Europe
Marcus


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

From: [e-mail]
Subject: (fractint) Re: OK I give up!
Date: 31 Aug 2001 01:11:09 EDT


Chris Curnow wrote:

Jim,

>I've been trying for over twelve months to work out which city you
>live in, and you're driving me frantic!

>You nearly gave it away earlier this year when your 'downtown was
>closed' but they didn't report it on CNN!

>I'm fed up with studying weather reports from the States.  Please
>tell us which city, or at least which state!

Fractal Central is located at the northeast corner of Baltimore, MD
USA, the largest small town in the nation.  The neighborhood is
called 'Overlea'.  Thomas and Tippy are the real names of the fractal
cats.  But unfortunately, they don't know that they are world famous.
The all-unimportant weather reports are accurate for the day before
the date of the FOTD, as can be checked on the internet.

FOTD in 9 hours.

Jim M.


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

From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) OK I give up!
Date: 31 Aug 2001 00:15:20 -0500

Chris Curnow wrote:
>
> I've been trying for over twelve months
> to work out which city you live in, and
> you're driving me frantic!

Ever since Jim first listed his Longitude and Latitude (years ago), I
have been including it as a link within most of the FOTDs (whenever he
references his FC):

http://tiger.census.gov/cgi-bin/mapgen/.gif?lon=-76.531348&lat=39.345751&wid=0.25&mark=-76.531348,39.345751,bigdot&on=majroads

Another hint is the link for the "weather", which is always for that
city's area.

For a little history on the FOTD, Jim made a posting on April 12, 1997
to the Fractal-Art List which started the whole thing.  And here is a
portion of that message:

    "I'll try to post a different image every day, until
     I make my point that complicated formulas are not
     necessary for new and unusual fractals."

That first FOTD was the "SnakeTree" formula and PAR.  And it has been a
most wonderous daily affair for all involved over the past 4-1/3 years.

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

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

From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) C-FOTD 30-08-01 (Butterflies Coming [6])
Date: 31 Aug 2001 09:47:49 +0000

>From: [e-mail]
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) C-FOTD  30-08-01  (Butterflies Coming [6])
>Date: Thu, 30 Aug 2001 11:08:58 EDT
>
>
>Classic FOTD -- August 30, 2001 (Rating 6)
>
>Fractal visionaries and enthusiasts:
>
>Instead of being surrounded by fancy rings, today's unusual
>midget is surrounded by fragments, which at a quick glance
>resemble butterflies.

OK Jim, keep taking the drugs; I'm *sure* they're gonna start having an
effect soon now... ;-) [Still, not as questionable as "Boobs"...]

BTW, is *everyone* on this list from America? Is that why my posts only ever
get answered over night?

Thanks.
Andrew.
"Here in Sunny Old England."


_________________________________________________________________
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-------------------------------------------------------------------------------

From: [e-mail]
Subject: (fractint) C-FOTD  31-08-01  (Midget by Starlight [6])
Date: 31 Aug 2001 10:44:25 EDT


Classic FOTD -- August 31, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

Today's discussion will be short, since I want to get as much
work as possible wrapped up today in preparation for the 3-day
week-end holiday.

An eight-pointed star.  Two crossed squares.  An irregular
circle shooting lightning bolts.  All this and more.  Actually,
it's a tiny midget in the fourth valley out (Seahorse Valley is
the first) on the negative X-axis of the Mandelbrot set.

I named the image "Midget by Starlight", though due to the
eighteen letter limit of parameter file names I had to spell the
word 'starlight' in a trendy commercialized manner.  As for the
rating, it is hardly necessary to point out that the string of
6's continues unbroken.

The best way to see the exact location is to reset the logmap to
0 and do about a dozen out-zooms.  The first two outzooms will
be slow because of the arbitrary precision math, but then the
normal double-precision math routine kicks in and the outzooms
become almost instantaneous.

Being at arbitrary precision depth, the parameter file runs
slowly.  The best way of viewing the image is to give Paul and
Scott a chance to post it, then to download it from their web
sites at:

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

and:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

The fractal weather today was strange, with distant thunder
rumbling from dawn until sunset.  But nothing more spectacular
than a few dark clouds ever arrived.  The cats were spooked by
the continuing thunder however, and spent most of the day within
dashing space of their hiding places.  The temperature reached
84F 29C.  BTW, the official weather station is located 12 miles
from Fractal Central, so the official report and the report from
FC may not always be exactly the same.

I'm going to get busy now, so until next time, take care, and
don't try to solve the Benares pyramid puzzle.


Jim Muth
[e-mail]


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

Midget_by_Starlite { ; time=1:01:12.15--SF5 on a P200
  reset=2001 type=mandel center-mag=-1.3939893944070\
  55929/0.0023769254572540181/1.365374e+014 params=0/0
  float=y maxiter=12000 bailout=6 inside=0 logmap=1093
  colors=0006AK7AK8AK9AJAAIAAIAAIAAIAAIAAHAAHAAHAAHA\
  AHAAGAAGAAGAAGAAGAAGAADABBACEADGAEJAFLAGNAHQAISAJU\
  AKXCLZEMaGNcIOeKPhMQjOQlPThSVeVYaY_Z`bVcdSfgPiiLll\
  IonErqBts8qp7nn7kl7ij6fg6ce6`c5Za5WZ5TX4QV4OT4QS8R\
  SBSRETRIUQLVQOWPRXPVYOYZO`_OcKp_Om`Sj`Wg`_d`baafZa\
  jWanTaqQaoP_nOZmNYlMWkLVjKUiJSgIRfHQeGOdFNcEMbDKaC\
  J`BIaAJbAKbAKc9Lc9Ld9Md9Ne8Ne8Of8Of8Pg7Qg7Qh7Rh7Rg\
  9TfBVfDXeFYdG_dIacKbbMdbOfaPh`Ri`Tk_Vm_WnaVjcUgdTd\
  fS`hRYiQVkPRmPOnOLpNHrMEsLBuK7wJ4xJ1nR8eYFXdMOkTNf\
  RMaQLXPKSOJNMIILHDKG8JF4II7MKAPMDSOFWQIZSLarjumfri\
  boeZlaViYRf7M79NABNCCNEENHFNJHNLINNKNQLNSNNUONWQNZ\
  OKKTNbBkYDiZEgZGe_Hc_Ib`K``LZaMXaOVbPUbQScSQcTOdOm\
  VTkTYiRagPfeNkcLpaJu_HyZGkXPY_YKbf6enFhmNklVnkbqjj\
  tirwiszfszcszaszZtzXtzUtzStzPtzNnzThzYbzcXzhRznbzj\
  bzlbznbzoazpazqazqazrazsazsaztaztazuazvazvazwazw`z\
  u_ztZzsZzrYzpXzo_zZXzXTzU
  }

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

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

From: Tim Lavoie <[e-mail]>
Subject: Re: (fractint) C-FOTD 30-08-01 (Butterflies Coming [6])
Date: 31 Aug 2001 09:57:15 -0500

On Fri, Aug 31, 2001 at 09:47:49AM +0000, Andrew Coppin wrote:
>
> BTW, is *everyone* on this list from America? Is that why my posts only ever
> get answered over night?
>
> Thanks.
> Andrew.
> "Here in Sunny Old England."

Well, I'm in Canada, but just lurk so far.

      Tim, in also-sunny Winnipeg

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

From: Programmer Dude <[e-mail]>
Subject: Re: (fractint) C-FOTD  28-08-01  (County Fair  [6])
Date: 31 Aug 2001 10:11:38 -0500

[e-mail] wrote:

> ...and where was the Hamiltonian last seen?

Well, in my case, in some fun (SF) books by L. Neil Smith...

--
|_ CJSonnack <[e-mail]> _____________| How's my programming? |
|_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL  |
|_____________________________________________|_______________________|

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

From:     John Lewis <[e-mail]>
Subject: Re: (fractint) OK I give up!
Date: 31 Aug 2001 07:38:33 +0100

On Fri, 31 Aug 2001 00:15:20 -0500, Paul N. Lee wrote: From: Paul=
 N.
Lee <[e-mail] Subject: Re: (fractint) OK I=
 give
up! Date: Fri, 31 Aug 2001 00:15:20 -0500 To:
<[e-mail]

[Cut]

For a little history on the FOTD, Jim made a posting on April=
 12,
1997 to the Fractal-Art List which started the whole thing.  And=
 here
is a portion of that message:

"I'll try to post a different image every day, until I make my=
 point
that complicated formulas are not necessary for new and unusual
fractals."

That first FOTD was the "SnakeTree" formula and PAR.  And it has=
 been
a most wonderous daily affair for all involved over the past=
 4-1/3
years.

And I would like to second the sentiment in the last paragraph. I=

have been enjoying them since I joined this list. Thank you, Jim,=
 and
they guys who publish your efforts on the net.

John
-- John Lewis, [e-mail] on 08/31/2001


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

From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) C-FOTD 30-08-01 (Butterflies Coming [6])
Date: 01 Sep 2001 13:57:26 +1200

At 09:57 31/08/2001 -0500, Tim Lavoie wrote:
>On Fri, Aug 31, 2001 at 09:47:49AM +0000, Andrew Coppin wrote:
> >
> > BTW, is *everyone* on this list from America? Is that why my posts only
> ever
> > get answered over night?
> >
> > Thanks.
> > Andrew.
> > "Here in Sunny Old England."
>
>Well, I'm in Canada, but just lurk so far.

[e-mail]



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

From: "Ricardo M. Forno" <[e-mail]>
Subject: Re: (fractint) C-FOTD 30-08-01 (Butterflies Coming [6])
Date: 31 Aug 2001 23:44:40 -0300

No, I am from Argentina, but regarding time zones it is nearly the same :)
----- Original Message -----
Sent: Friday, August 31, 2001 6:47 AM


> >From: [e-mail]
> >Reply-To: [e-mail]
> >To: [e-mail]
> >CC: [e-mail]
> >Subject: (fractint) C-FOTD  30-08-01  (Butterflies Coming [6])
> >Date: Thu, 30 Aug 2001 11:08:58 EDT
> >
> >
> >Classic FOTD -- August 30, 2001 (Rating 6)
> >
> >Fractal visionaries and enthusiasts:
> >
> >Instead of being surrounded by fancy rings, today's unusual
> >midget is surrounded by fragments, which at a quick glance
> >resemble butterflies.
>
> OK Jim, keep taking the drugs; I'm *sure* they're gonna start having an
> effect soon now... ;-) [Still, not as questionable as "Boobs"...]
>
> BTW, is *everyone* on this list from America? Is that why my posts only
ever
> get answered over night?
>
> Thanks.
> Andrew.
> "Here in Sunny Old England."
>
>
> _________________________________________________________________
> Get your FREE download of MSN Explorer at http://explorer.msn.com/intl.asp
>
>
> --------------------------------------------------------------
> 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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