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fractint-digest       Sunday, December 26 1999       Volume 01 : Number 430




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

Date: Tue, 21 Dec 1999 23:01:21 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 22-12-99 (A Fractal Secret) (c)

FOTD -- December 22, 1999

Fractal enthusiasts and visionaries:

Today's fractal is a somber one, filled with darkness and
relieved only by sharply defined shafts of deep violet, almost
an ultra-violet.  It could be a stylized exploding galaxy, or it
could be a design in a stained-glass window of some grotesque
cathedral.  It could be these and much more, but it is a fractal.

It is today's fractal -- a scene cut in the Rectangular
direction through the four-dimensional figure defined by the
formula 3.5*((-z)^1.1+z^1.1)+c.  The Rectangular direction is my
own name for the orientation determined by the imag(z) and
imag(c) axes.

It is probably the darkest in overall value as well as in mood
of all my FOTD's, quite in keeping with the season of Advent
which is rapidly coming to a close as the big day approaches.  I
named the picture "A Fractal Secret" because I'm not sure what
it reminds me of, and I didn't want to call it "I Don't Know".

The formula behind the image is my RectPMnew -- a formula that I
rarely pull out -- not because it is worthless, but rather
because I have so many other formulas to investigate and not all
that much time to do the investigation.

In contrast to some of my recent FOTD's, today's parameter file
takes less than 6 seconds to run on a Pentium 200mhz, that is
after the minute or two it will take to copy this message to
your Fractint parameter directory and run it from there.

For those who would rather download the finished JPEG image,
that image is available on the Usenet binary newsgroup:

          <alt.binaries.pictures.fractals>

The image is also available on the web at Paul Lee's FOTD web
site at the following URL:

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

The weather began turning winterish today here at Fractal
Central -- cloudy, cold, bleak and raw, with a few periods of
sleet and a promise of perhaps a little light snow overnight.
The temperature of 38F (3C) was far too chilly for the fractal
cats to venture outdoors, so they spent the day alternately
chasing each other and stretched out by a radiator.

Chilly days are also great for philosophizing, and I had a
pretty good day with the philosophy, though I'll hold it until
after the holidays, when the world will be in an entirely new
era.

Until tomorrow, same time same place, take care, and never give
up on a fractal unless it gives up on you.


Jim Muth
[e-mail]


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

RectPMnew {; Jim Muth
z=flip(real(pixel))+p2,
c=flip(imag(pixel))+p3,
a=real(p1)+1, b=imag(p1):
z=a*((-z)^b+z^b)+c,
|z| <= 250
}

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

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

A_Fractal_Secret   { ; time=0:00:05.82 on a p200, SF5
  reset=2000 type=formula formulafile=plusmin.frm
  formulaname=RectPMnew
  center-mag=-1.73195e-014/-3.55271e-015/0.07305376/1/\
  44.999 params=2.5/1.1/1.987/0/0.735/0 float=y
  maxiter=250 bailout=25 inside=251 logmap=yes
  symmetry=origin periodicity=10
  colors=000BA7<4>G5HH4JI4L<3>XC__DbYLd<3>QlkOslTmj<3>\
  lTeqNcvIbzDa<3>QOMHQILVJ<3>YkM`pMctNfxNDKs<3>zUivhPr\
  w4mx2ix1<3>cfQabW`YaZUgYQm<3>EmqAsrLrq<2>qop<3>hWZfR\
  VdMRbIN<3>NEJJDIFCHCCHc4B<3>`IT_MX_PaZTeZWi<3>hVpkVr\
  mVspVurVvWX`9YGKeOUlW<3>aUecPgeKjgFliBn<3>XYnUcnRhnO\
  nnLsn<3>SjVThQVbN<3>aGDT8s<3>HfgEodBwb<3>moFvn9rk8<3\
  >ca6<2>y3N<3>qQLoWKm`KkfJikJ<3>sLNuEOw7Py1Q<3>p7Jn8H\
  l9GgLEbXDTO7JG2<2>X7a<3>bVkc`mefpflrgqt<3>bTnaNl`Hk8\
  k7<3>VhI`gLegNkfQpfSPdM<3>wca<3>MGkDAmIKoNUqSbrIio9p\
  m<3>RuTEUB<3>2Sj0Ss7RZDRE<3>Hb7Ie5Jh4<3>LJ7MD8M789jQ\
  <3>kbLtaKjYG<2>IN4<2>EL5zzzCK6BK6AK6FHA
  }

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

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

A_Fractal_Secret   { ; time=0:00:05.82 on a p200, SF5
  reset=2000 type=formula formulafile=plusmin.frm
  formulaname=RectPMnew
  center-mag=-1.73195e-014/-3.55271e-015/0.07305376/1/\
  44.999 params=2.5/1.1/1.987/0/0.735/0 float=y
  maxiter=250 bailout=25 inside=251 logmap=yes
  symmetry=origin periodicity=10
  colors=000BA7<4>G5HH4JI4L<3>XC__DbYLd<3>QlkOslTmj<3>\
  lTeqNcvIbzDa<3>QOMHQILVJ<3>YkM`pMctNfxNDKs<3>zUivhPr\
  w4mx2ix1<3>cfQabW`YaZUgYQm<3>EmqAsrLrq<2>qop<3>hWZfR\
  VdMRbIN<3>NEJJDIFCHCCHc4B<3>`IT_MX_PaZTeZWi<3>hVpkVr\
  mVspVurVvWX`9YGKeOUlW<3>aUecPgeKjgFliBn<3>XYnUcnRhnO\
  nnLsn<3>SjVThQVbN<3>aGDT8s<3>HfgEodBwb<3>moFvn9rk8<3\
  >ca6<2>y3N<3>qQLoWKm`KkfJikJ<3>sLNuEOw7Py1Q<3>p7Jn8H\
  l9GgLEbXDTO7JG2<2>X7a<3>bVkc`mefpflrgqt<3>bTnaNl`Hk8\
  k7<3>VhI`gLegNkfQpfSPdM<3>wca<3>MGkDAmIKoNUqSbrIio9p\
  m<3>RuTEUB<3>2Sj0Ss7RZDRE<3>Hb7Ie5Jh4<3>LJ7MD8M789jQ\
  <3>kbLtaKjYG<2>IN4<2>EL5zzzCK6BK6AK6FHA
  }

frm:RectPMnew {; Jim Muth
z=flip(real(pixel))+p2,
c=flip(imag(pixel))+p3,
a=real(p1)+1, b=imag(p1):
z=a*((-z)^b+z^b)+c,
|z| <= 250
}

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


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

Date: Wed, 22 Dec 1999 23:06:38 +0100
From: "J.P. Louvet" <[e-mail]>
Subject: (fractint) A new fractal FAQ?

Somebody asking to repost the sci.fractal FAQ in this newsgroup I have
posted the text below. The question of an updated FAQ is open. What do you
think about it ?
- ----------- Text of my reply -----------
The main server for the FAQ (maintained by Michael Taylor) is closed. The
FAQ is somehow outdated for several aspects. As it is, it can be consulted
at www.cribx1.u-bordeaux.fr/fractals/faq/.
I was co-editor of the FAQ (for some parts which are in my field my
competence), but I have hardly any time to update it and no competence for
the mathematical questions. I have no news from Michael for a long time but
I think that he retains his copyright. Maybe somebody has ideas to start
another new FAQ (with another name). I can help for some parts (programs,
galleries, references for web tutorials, mailing lists...).

Any suggestion ?

 -------------------------------------------------------------------------
 J.P. Louvet                | Phone :  [phone]
 IUT Universite Bordeaux I  | email : [e-mail]
 33405 Talence CEDEX France | email : [e-mail]
 -------------------------------------------------------------------------


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

Date: Wed, 22 Dec 1999 20:33:31 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 23-12-99 (Timewarped Midget) (c)

FOTD -- December 23, 1999

Fractal enthusiasts and visionaries:

Today's midget, which was created by the MandelbrotMix4 formula
calculating Z-3Z^(-3)+C reminds me of a time warp.  Time warps,
of course, are the things fiction writers tell of.  They do not
exist . . . or do they.  A time warp could perhaps best be
defined as a discontinuity in the time dimension.  But if this
definition is accepted, time warps become an every day reality.

Last Saturday evening I experienced a time warp.  When I
finished my FOTD, I ensconced myself in my favorite chair to
watch one of those junky old sci-fi thriller movies that they
don't make any longer.  (For good reason)  I inserted the tape
into the VCR and saw the movie begin.  Then, there was a sudden
time warp and the movie was ending.  I thought the VCR might
have malfunctioned until I checked the clock and saw that the
time actually was 75 minutes later than it had been only 5
minutes previously.  The time stream had instantly jumped more
than one hour into the future.

But the time stream had not jumped; I had fallen asleep and for
75 minutes been unaware of the passage of time.  I then began
thinking of my experience.  It could be seen in two different
ways.  Had I been unconscious for 75 minutes, or had time
instantly jumped 75 minutes into the future?  From my individual
point of view, there was no way of knowing, since both events
would have seemed exactly the same to me.  Common sense tells me
to explain the time discontinuity by claiming that I had fallen
asleep and been unaware of time for 75 minutes.  But I wonder if
this is just another way of saying that my private time-stream
experienced a discontinuous leap of 75 minutes into the future.

I thought of that event today when I was studying today's
picture, which I named "Timewarped Midget".  The image is one of
a midget sitting back in time, which exists along the Z axis of
the image.  I'd estimate the midget to be around 30 minutes in
the past of the areas around the edge of the image.  I have
given the scene a dark blue color palette to emphasize the
mystery of time.

And speaking of time, it becomes relatively unimportant when the
parameter file is run.  Even the slowest Pentium will finish the
image in less than 2 minutes.  As always, the JPEG file has been
posted to:

          <alt.binaries.pictures.fractals>

and to:

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

The fractal weather was rather winterish today.  Just a trace of
snow fell during the overnight, and that little bit melted by
the late morning when the sun broke through.  But the tempera-
ture of 41F (5C) was too cold for the delicate fractal cats, who
passed the afternoon watching the birds at the feeder.

Though conditions were good, I exhausted today's philosophical
energies thinking about the nature of time.  But tomorrow is a
new day, and a new opportunity for new philosophy.

Until tomorrow at this same time, take care, and time waits for
no one.


Jim Muth
[e-mail]


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

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

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

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

Timewarped_Midget  { ; time=0:00:54.16 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=-2.61821107601817100/-1.46545761939722700\
  /1584762/1/162.5 params=-3/-3/1/1/0/0 float=y
  maxiter=1200 bailout=25 inside=0 logmap=15
  symmetry=none periodicity=10
  colors=00040F30F20J12N13R<3>CJfFMiIQlKUoNYsQaxSdz<3>\
  GmzDpzArz7tz5vz<2>zcz<5>knzipzgrzdtzbvz`wz<3>OyzLzzI\
  zwLztNzs<2>UznWzlZzi<3>gzYizUlzRnzOpzKrzIdz7<5>OzILz\
  KIzM<3>7zT<3>LzMOzKSzIVzGYcF<2>gcA<3>NcWIc`Sci`cq<3>\
  YchXcfXAd<3>bO_dSZeVYgcX<3>mcTncSpcRqcQOc6SmA<3>emP<\
  3>WmZUm`Vma<2>VmdumF<3>cmeSmdGmd<3>TmOXmK_mGbmCem8<2\
  >XmFUVI<3>JfRGiTDlVBnX<3>S_gWWj`Sm<3>pEw<3>h6pf4ne3m\
  <3>eBGeC8kFHqHPwJX<5>`JWXJWTJW<3>EJW<8>dgRgjRjmQ<3>u\
  wPtzU<3>szkszoszsKzi<6>YzO_zLazI<3>iz6<4>_zB<3>SzE<3\
  >dzOgzQfzP<3>czNbzNazM<3>_zL<2>9zkIzd7zW6zX5zZ
  }

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

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

Timewarped_Midget  { ; time=0:00:54.16 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=-2.61821107601817100/-1.46545761939722700\
  /1584762/1/162.5 params=-3/-3/1/1/0/0 float=y
  maxiter=1200 bailout=25 inside=0 logmap=15
  symmetry=none periodicity=10
  colors=00040F30F20J12N13R<3>CJfFMiIQlKUoNYsQaxSdz<3>\
  GmzDpzArz7tz5vz<2>zcz<5>knzipzgrzdtzbvz`wz<3>OyzLzzI\
  zwLztNzs<2>UznWzlZzi<3>gzYizUlzRnzOpzKrzIdz7<5>OzILz\
  KIzM<3>7zT<3>LzMOzKSzIVzGYcF<2>gcA<3>NcWIc`Sci`cq<3>\
  YchXcfXAd<3>bO_dSZeVYgcX<3>mcTncSpcRqcQOc6SmA<3>emP<\
  3>WmZUm`Vma<2>VmdumF<3>cmeSmdGmd<3>TmOXmK_mGbmCem8<2\
  >XmFUVI<3>JfRGiTDlVBnX<3>S_gWWj`Sm<3>pEw<3>h6pf4ne3m\
  <3>eBGeC8kFHqHPwJX<5>`JWXJWTJW<3>EJW<8>dgRgjRjmQ<3>u\
  wPtzU<3>szkszoszsKzi<6>YzO_zLazI<3>iz6<4>_zB<3>SzE<3\
  >dzOgzQfzP<3>czNbzNazM<3>_zL<2>9zkIzd7zW6zX5zZ
  }

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

Date: Thu, 23 Dec 1999 00:59:10 -0600
From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) Re: [fractal-art] A new fractal FAQ?

J.P. Louvet wrote:
>
> Somebody asking to repost the sci.fractal FAQ in
> this newsgroup I have posted the text below. The
> question of an updated FAQ is open. What do you
> think about it ?
>

If you want a list of various web links and other information for these
topics:
    Software
    Animations
    Various Products
    Movies
    Music
    Interactive
    Newsgroups
    Copy Sites of Usenet Postings
    Mail Listings
    CHAT Related References
    Documentation
    Books, Magazines, Articles, etc.
    Fractal Galleries
    Tutorials on Software use
    Tutorials on Fractal Creation
    Various Other Information

Then try the following URL:

    http://home.att.net/~Paul.N.Lee/Fractal_Links.txt


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

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

Date: Thu, 23 Dec 1999 19:27:56 EST
From: [e-mail]
Subject: (fractint) question on printing fractals

About a year ago there was info on fractal image size to create, how to do
it,  and recommended service bureaus to get  higher resolution prints made,
suitable for framing- ie bigger than 8 by 10's...perhaps more poster sized.

Does anyone have this info?  My system crashed and I can't find the message
threads regarding this.

Thanks

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

Date: Thu, 23 Dec 1999 18:25:24 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) question on printing fractals

This may have a slight Ultra Fractal bias to it, but the basic information
is pretty general:

http://www.parkenet.org/jp/print.html

Kerry

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]    http://www.primenet.com/~lkmitch/
- -------------------------------------------------------------------------------


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

Date: Thu, 23 Dec 1999 18:25:34 -0700
From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) question on printing fractals

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

> About a year ago there was info on [...]
> Does anyone have this info?

You can probably find it in the FTP archives
<ftp://ftp.xmission.com/pub/lists/fractint/>
- --
<http://www.xmission.com/~legalize/>    Legalize Adulthood!
    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.thewho.net>

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

Date: Thu, 23 Dec 1999 22:29:52 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 24-12-99 (Deep Blue Midget) (c)

FOTD -- December 24, 1999

Fractal enthusiasts and visionaries:

We've just passed the night of what was supposed to be the
brightest full moon in 133 years.  The viewing conditions here
at Fractal Central were perfect, with skies as clear as they
ever get around these parts.  The moon as I saw it was
brilliant, and it did seem a bit larger and brighter than the
normal full moon, but the difference was tiny, and I'm not about
ready to argue that I witnessed the brightest moon in 133 years.

There's nothing loony about today's FOTD.  The name I gave it is
"Deep Blue Midget", which would have been more appropriate for
yesterday's spectacularly blue midget.  But today's midget has a
blue heart, making it at least somewhat worthy of the name.  The
little midget is part of the fractal that results from iterating
a critical plane of the formula Z^1.5-2*(Z^2.5)+C.

The most interesting feature in the picture is the ring of 16
sausage-shaped open areas arranged symmetrically around the
midget.  Such theme-holes often appear in the Mandelbrot aspect
of fractals created when two different powers of Z are combined.
I'm not enough of a math expert to know why these holes appear,
but when they do appear, it is usually in only certain areas of
the fractal.

Today's fractal was calculated in 50 minutes while I attended to
some last-minute Christmas chores.  That time is slow enough to
make the a download of the GIF file almost imperative.  I posted
today's image in GIF format because it suffered too much
deterioration when I JPEG'd it.  The image has been posted to
the Usenet group:

          <alt.binaries.pictures.fractals>

and to Paul Lee's web site at:

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

The fractal weather was seasonal today, with variable skies and
a temperature of 43F (6C) that kept the fractal cats indoors
chasing sunbeams.  The weather was also ideal for thinking deep
thoughts, though I'm holding my deepest thoughts until next
century, when anything could happen.

Until tomorrow, take care, and have a happy instead of a hectic
holiday season.


Jim Muth
[e-mail]


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

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

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

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

Deep_Blue_Midget   { ; time=0:50:36.26 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.92778257319408740/+0.03987525463564205\
  /7.287883e+009/1/144.999 params=1/1.5/-2/2.5/0/0
  float=y maxiter=12000 bailout=25 inside=0 logmap=493
  symmetry=none periodicity=10
  colors=000VVrQRsMNt<3>QYqR`qScp<3>Wmn<3>Kq`HqXErU<2>\
  5tK<3>IXILRHOLH<3>ZMCaMAdM9<2>lM5oM4pM3nM2lJ4<3>JA9C\
  8AED9<5>Ka4Le3Mj3<3>Qz0<3>SoBSlDSiG<7>OUWOSYNQ_<3>MJ\
  f<3>YfQ`lMcrIewE<6>XpTWoVVnX<3>QjdPicOh`<2>PbSP`POZM\
  NXJ<3>M`NMaOLbP<2>LeSLeTMgR<7>QoFQpERqC<2>St8Su7UrA<\
  7>eZRfXThUW<2>lNamLclK`<3>iIPiIMhHJhHH<3>u7A<13>_JFY\
  JFXKF<2>SNGRNGPQHOSK<4>YXh_YnZXsXXtYWuWVv<3>QYzPZzO_\
  z<2>Jbz<25>hcziczjczkczlcz<24>mcz
  }

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

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

Deep_Blue_Midget   { ; time=0:50:36.26 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.92778257319408740/+0.03987525463564205\
  /7.287883e+009/1/144.999 params=1/1.5/-2/2.5/0/0
  float=y maxiter=12000 bailout=25 inside=0 logmap=493
  symmetry=none periodicity=10
  colors=000VVrQRsMNt<3>QYqR`qScp<3>Wmn<3>Kq`HqXErU<2>\
  5tK<3>IXILRHOLH<3>ZMCaMAdM9<2>lM5oM4pM3nM2lJ4<3>JA9C\
  8AED9<5>Ka4Le3Mj3<3>Qz0<3>SoBSlDSiG<7>OUWOSYNQ_<3>MJ\
  f<3>YfQ`lMcrIewE<6>XpTWoVVnX<3>QjdPicOh`<2>PbSP`POZM\
  NXJ<3>M`NMaOLbP<2>LeSLeTMgR<7>QoFQpERqC<2>St8Su7UrA<\
  7>eZRfXThUW<2>lNamLclK`<3>iIPiIMhHJhHH<3>u7A<13>_JFY\
  JFXKF<2>SNGRNGPQHOSK<4>YXh_YnZXsXXtYWuWVv<3>QYzPZzO_\
  z<2>Jbz<25>hcziczjczkczlcz<24>mcz
  }

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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Date: Wed, 22 Dec 1999 11:00:20 +0500
From: Abhishek Roy <[e-mail]>
Subject: (fractint) Sci.fractal faq

    A few weeks ago someone had posted the location of the sci.fractal faq.
Could anyone please repost the ftp path/url?
                                    Thank you,
                                        Abhishek Roy


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Date: Fri, 24 Dec 1999 13:16:42 -0600
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) Sci.fractal faq

Abhishek Roy wrote:
>
> A few weeks ago someone had posted the
> location of the sci.fractal faq.
> Could anyone please repost the ftp path/url?
>

Various Links that have been used over the past few years:

http://fractal.mta.ca/sci.fractals-faq/
http://spanky.triumf.ca/pub/fractals/docs/SCI_FRACTALS.FAQ
http://www.mta.ca/~mctaylor/sci.fractals-faq/
http://non.com/news.answers/fractal-faq.html
 ftp://pit-manager.mit.edu/pub/usenet/news.answers/fractal-faq
 ftp://pit-manager.mit.edu/pub/usenet/news.answers/sci/fractals-faq
 ftp://rtfm.mit.edu/pub/usenet/news.answers/fractal-faq
 ftp://rtfm.mit.edu/pub/usenet/news.answers/sci/fractals-faq/
http://webpages.marshall.edu/~stepp/fractal-faq/faq.html
http://www.cribx1.u-bordeaux.fr/fractals/faq/
 ftp://rtfm.mit.edu/pub/usenet-by-hierarchy/sci/fractals/
 ftp://rtfm.mit.edu/pub/usenet/sci.fractals/


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

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Date: Fri, 24 Dec 1999 18:36:45 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 25-12-99 (Greetings) (c)

FOTD -- December 25, 1999

Fractal enthusiasts and visionaries:

I've noticed a thread over on the UF list about favorite
fractals.  The discussion set me to thinking -- what is my
favorite fractal?  This is a most difficult question indeed.
I doubt if any of my FOTD's would qualify, as even the best of
them fall from favor within a week of their creation.

If the question refers to a particular fractal image, then I
have no definite answer, because my favorite image is rarely the
same two days in a row.  But if the question refers to a
particular abstract fractal object, then the four-dimensional
Julibrot object created by the formula Z^2+C is my favorite.

I never tire of discovering new slices of this single object,
which holds within its unfathomable intricacies not only every
Julia set, but the Mandelbrot set along with all the perturbed
M-sets as well.

Though the Julibrot object is my favorite fractal, the
MandelbrotMix4 is my favorite formula.  (At least until I update
it.)  This formula almost automatically finds and draws one
never-before-seen minibrot after another.  Today's image, which
results from subtracting a portion of Z^2.5 from Z^2, is a
typical example of the formula's efficiency.

Being bogged down in holiday activities, I had next to no time
to find a fractal worthy of the big day.  Then the M-Mix4
formula came to the rescue by creating a fractal that is filled
with interesting midgets.  The midget I selected is found deep
in an elephant-trunk spiral in the East Valley area of the
parent image.  I named the festive picture "Greetings" both
because of the season and because I thought of nothing better.

Taking 10 minutes to render from the parameter file, the image
may be downloaded in much less time from:

          <alt.binaries.pictures.fractals>

and from:

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

The fractal weather was partly cloudy and quite cold today, with
an afternoon temperature around 25F (-4C), which kept the
fractal cats from even thinking of putting their noses outside.

My philosophical muse was as cold as the temperature, so no
brilliant new ideas emerged.  But it's still 7 days until the
next century -- plenty of time to solve some cosmic mysteries.

And now I've got to solve the more mundane mystery of wrapping
presents and keeping the ever-curious fractal cats out of the
wrapping paper.  Until next time, take special care, and the
best is yet to come.


Jim Muth
[e-mail]


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

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

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

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

Greetings          { ; time=0:09:41.94 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-3.47737558637312900/-0.34798533512990480\
  /8.466862e+008/1/-35
  params=0.25/2/-0.044/2.5/0/10000 float=y maxiter=1600
  bailout=25 inside=0 logmap=163 symmetry=none
  periodicity=10
  colors=000WACWAC<4>`AR<3>dAbeBefChgDkhEn<3>lFvmFxnFy\
  mJwlMt<3>hMhfMedMbbM_`MXZMWXKVVIT<3>NDOKBMI9LG7IF6GD\
  5ED6CE7CE8EF9ILAIQCJ<2>dAKi9In6Gs3Ev0Cw4Ax8GyCEzGB<3\
  >rV2pY0q_2<8>viIwkKwlL<3>ypS<2>_eUSbUJYVBZV<2>PgUUjN\
  FmG0qA<3>9uBBvBFqC<3>U_GYWHaRIeNJhJJ<3>`niZvoYqq<3>V\
  YvUTwTOxSJySEz<7>VEVVERVEN<2>WEBWE8YH9<5>eWEgZFh`F<3\
  >mjI<3>POZJIcDDg77k12o<7>CQRDTOEWL<2>IdCJf9MgD<5>`mZ\
  cnaeoe<3>ors<3>mowmnxlmylmy<7>fczfbze`z<3>cXz<3>NInJ\
  EkFAh2N6<3>9J6BF6<3>IZ6Kc6Lh6RnX<3>RrmRsqQtoQunQvm<5\
  >PwfPwePwd<3>Pw`QwZRwX<9>YwG
  }

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

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

Greetings          { ; time=0:09:41.94 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-3.47737558637312900/-0.34798533512990480\
  /8.466862e+008/1/-35
  params=0.25/2/-0.044/2.5/0/10000 float=y maxiter=1600
  bailout=25 inside=0 logmap=163 symmetry=none
  periodicity=10
  colors=000WACWAC<4>`AR<3>dAbeBefChgDkhEn<3>lFvmFxnFy\
  mJwlMt<3>hMhfMedMbbM_`MXZMWXKVVIT<3>NDOKBMI9LG7IF6GD\
  5ED6CE7CE8EF9ILAIQCJ<2>dAKi9In6Gs3Ev0Cw4Ax8GyCEzGB<3\
  >rV2pY0q_2<8>viIwkKwlL<3>ypS<2>_eUSbUJYVBZV<2>PgUUjN\
  FmG0qA<3>9uBBvBFqC<3>U_GYWHaRIeNJhJJ<3>`niZvoYqq<3>V\
  YvUTwTOxSJySEz<7>VEVVERVEN<2>WEBWE8YH9<5>eWEgZFh`F<3\
  >mjI<3>POZJIcDDg77k12o<7>CQRDTOEWL<2>IdCJf9MgD<5>`mZ\
  cnaeoe<3>ors<3>mowmnxlmylmy<7>fczfbze`z<3>cXz<3>NInJ\
  EkFAh2N6<3>9J6BF6<3>IZ6Kc6Lh6RnX<3>RrmRsqQtoQunQvm<5\
  >PwfPwePwd<3>Pw`QwZRwX<9>YwG
  }

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

Date: Sat, 25 Dec 1999 01:41:59 EST
From: [e-mail]
Subject: Re: (fractint) question on printing fractals

Found It  Took a very long while, but found it-  Thanks

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

Date: Sat, 25 Dec 1999 10:28:50 EST
From: [e-mail]
Subject: Re: (fractint) Sci.fractal faq

I don't know if there is a more current version, but the FAQ I'm aware of is
at:
http://spanky.triumf.ca/pub/fractals/docs/SCI_FRACTALS.FAQ
- -Bill
http://members.aol.com/billatny/fractopi.htm

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

Date: Sat, 25 Dec 1999 19:35:01 -0000
From: "Les St Clair" <[e-mail]>
Subject: (fractint) Merry Christmas (Tree)

Merry Christmas...

lesifs009          { ; "Christmas Tree with Lights"         t=  0:06:46.73
                     ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200
                     ; (c) 1998 by Les St Clair [Par date: Nov 21, 1998]
                     ; e-mail to: [e-mail]
  reset=1960 type=ifs ifsfile=les.ifs ifs=lesifs009
  center-mag=-0.28121945000000000/+5.14996337500000000/0.1558758/0.9998/14\
  7.578 params=1 float=y maxiter=10000
  colors=0000zF0zFzNIz00SDzzz9z8zzX0zz88zzXNmzzzz0ZzaN0kzc0zzZ0000<236>000
  cyclerange=6/41
  }

IFS:lesifs009 { ; Les St Clair 11/98
            ; ported from Fdesign
0.400000 -0.430769 0.266667 0.302564 3.370081 6.471119 0.091635
- -0.466667 -0.817949 -0.600000 0.415385 4.342217 1.955171 0.265941
0.473743 -0.213001 -0.768943 0.284002 -0.108457 4.979621 0.295278
- -0.048962 -0.059929 -0.050651 0.008561 -3.009826 5.185175 0.023253
- -0.061893 -0.053325 -0.051265 0.034959 -0.250403 4.560843 0.028896
0.026178 -0.040175 -0.078535 -0.028135 1.966656 5.866811 0.022291
- -0.000000 -0.029329 -0.088827 -0.021655 -0.726490 3.026234 0.013907
- -0.088827 -0.045495 -0.088827 0.016922 2.037453 3.302222 0.041070
- -0.088827 -0.045495 -0.000000 0.030556 2.037453 1.349467 0.014489
- -0.065446 -0.055648 -0.052357 -0.004281 0.670731 7.727941 0.014899
- -0.032723 -0.038526 -0.065446 -0.000000 2.195090 8.820071 0.016340
- -0.039267 -0.051367 -0.078535 -0.004281 -3.697907 3.847955 0.020878
- -0.045812 -0.059929 -0.111258 -0.004281 2.900863 6.813558 0.025504
- -0.006545 -0.051367 -0.124347 -0.000000 3.099650 3.605853 0.040710
- -0.032723 -0.051367 -0.091624 -0.000000 2.861876 1.955493 0.022938
- -0.094776 -0.065346 -0.000000 0.065346 3.176909 -0.061160 0.030986
- -0.094776 -0.065346 -0.000000 0.065346 -2.258020 2.268096 0.030986
}

- - Les




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

Date: Sat, 25 Dec 1999 18:35:34 -0800
From: Mark Christenson <[e-mail]>
Subject: (fractint) Fractal Gallery update

I have just completed phase one of a much-needed fractal website
update.  Follow the links through "What's New" from my home page,

http://www.hooked.net/~mchris/fractals.htm

Included are my Fractal Art '99 contest entries, 3 of 5 also-rans,
and two new "mandelfn" images.


Merry Christmas to all, and to all a good night!

        Bud


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Date: Sun, 26 Dec 1999 10:10:52 EST
From: [e-mail]
Subject: (fractint) The 256 color barrier

I have a par that I've created.  Is there a way to break the 256 color
barrier with this par, to get more colors for better dithering (also the
larger images)?  I'm using fractint  v 19.6

Thanks...

Paul

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

Date: Sun, 26 Dec 1999 10:36:47 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 26-12-99 (Joyful) (c)

FOTD -- December 26, 1999

Fractal enthusiasts and visionaries:

I'm a little late with the discussion of today's FOTD for a good
reason -- I found no chance to write it when it was due.  So I'm
writing it now, the morning of the day after it was due.  The
reason I'm late of course is that there was just too much
visiting and other merry-making yesterday, which was December 25.

The image itself is one I had on file for just such an
emergency.  It has been posted to:

          <alt.binaries.pictures.fractals>

and to:

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

for almost 24 hours.  There's not much to be said about today's
picture, so I'll not say much.  It was created by the
MandelbrotMix4 formula calculating Z^(1.5)+Z(2.5)+C.  It's a
picture of a standard quadratic baby M-set, surrounded by
'S'-shaped areas of chaos on stalks.  The image is actually a
bit beyond the limit of resolution, thus the mathtolerance=/0.18
in the parameter file, which will force Fractint to calculate at
the correct magnitude.  I named the picture "Joyful" because it
reminds me of a Christmas decoration.

The fractal weather was continued sunny but very cold, with a
temperature of 26F (-3C) which kept the Fractal cats well
ensconced indoors.  Such weather is also perfect for
philosophizing, and there's no time of the year better suited
for philosophy than the Christmas season, when everyone gets all
nostalgic about things that they can't even define.  Despite the
rush, I found time for much deep philosophical thinking.  I'll
share my thoughts starting January 3, 2000.

Until next time, which will be in only 12 hours, take care, and
thank goodness Christmas comes only once a year.


Jim Muth
[e-mail]


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

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

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

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

Joyful             { ; time=0:06:23.16 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=mandelbrotmix4 function=ident passes=1
  center-mag=-0.42590222577768970/+0.26971530247950280\
  /4.440764e+013/1.0001/77.505/-0.034
  params=-1/1.5/1/2.5/0/0 float=y maxiter=1800
  bailout=25 inside=0 logmap=132 symmetry=xaxis
  periodicity=10 mathtolerance=/0.18
  colors=000A2A<3>D5AE6AF7A<2>IAA<4>NUA<3>Si9Um9Vq9Wu9\
  Xy9<3>ZrWZpa_nf_ll_kq<3>TSoRNnPInODn<4>Z9c`8ab7_<3>j\
  5S<3>ZYgWdkTkoQrsNyvSsWWm6<3>i_AmWBpTC<2>zJE<4>yAWy8\
  Zy6b<2>y1ly0ow3l<8>iTQgVNfYL<3>`hB<3>fR`gMgiImjDtk9z\
  <6>b4ga3e_2b<2>X0VW0TX4U<4>ZOWZSX_WX<2>`gZ`kZZi_<7>N\
  XfLVgKTh<3>ENk<3>W`j_djcgjmZcvRX<5>gMXdLXbLX<3>TIX<8\
  >eUFfVDhWB<3>m`4<3>gbKfcOecS<2>adb<4>kiTljS<9>htEhuC\
  hvB<3>gz6<3>QzaLziHzqDzx<7>HzqHzpIzo<3>Jzl<5>_zUbzQe\
  zN<3>pzB<4>dz6bz5`z5<3>Sz1EzHEzG
  }

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

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

Joyful             { ; time=0:06:23.16 on a p200, SF5
  reset=2000 type=formula formulafile=critical.frm
  formulaname=mandelbrotmix4 function=ident passes=1
  center-mag=-0.42590222577768970/+0.26971530247950280\
  /4.440764e+013/1.0001/77.505/-0.034
  params=-1/1.5/1/2.5/0/0 float=y maxiter=1800
  bailout=25 inside=0 logmap=132 symmetry=xaxis
  periodicity=10 mathtolerance=/0.18
  colors=000A2A<3>D5AE6AF7A<2>IAA<4>NUA<3>Si9Um9Vq9Wu9\
  Xy9<3>ZrWZpa_nf_ll_kq<3>TSoRNnPInODn<4>Z9c`8ab7_<3>j\
  5S<3>ZYgWdkTkoQrsNyvSsWWm6<3>i_AmWBpTC<2>zJE<4>yAWy8\
  Zy6b<2>y1ly0ow3l<8>iTQgVNfYL<3>`hB<3>fR`gMgiImjDtk9z\
  <6>b4ga3e_2b<2>X0VW0TX4U<4>ZOWZSX_WX<2>`gZ`kZZi_<7>N\
  XfLVgKTh<3>ENk<3>W`j_djcgjmZcvRX<5>gMXdLXbLX<3>TIX<8\
  >eUFfVDhWB<3>m`4<3>gbKfcOecS<2>adb<4>kiTljS<9>htEhuC\
  hvB<3>gz6<3>QzaLziHzqDzx<7>HzqHzpIzo<3>Jzl<5>_zUbzQe\
  zN<3>pzB<4>dz6bz5`z5<3>Sz1EzHEzG
  }

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

End of fractint-digest V1 #430
******************************