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fractint-digest       Saturday, January 29 2000       Volume 01 : Number 442




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

Date: Sun, 23 Jan 2000 13:08:00 -0500
From: "George M.Curtin Jr." <[e-mail]>
Subject: Re: (fractint) AVI

Karl,

It's amazing but Winfract (distributed with Fractint in the "Frain 200"
package can do the job for you. First make sure Winfract  is installed and
runs well. Second, using Winfract, 'tunnel" into the Fractint directory and
open one of the GIF files that you want to convert. Once it is open in
Winfract, Execute a file save as command and you will see a drop down menu
titled "save as". Click on it and lo and behold you see "bitmap". If you
don't have Winfract, get it from "spanky.com". Hope this helps.

George Curtin (fellow fractaller)



- ----- Original Message -----
From: Karl Scherer <[e-mail]>
To: Fractal mailing list <[e-mail]>
Sent: Saturday, January 22, 2000 5:11 PM
Subject: (fractint) AVI


> Hi ,
>
> could please anybody tell me how to make a fractal AVI?
> I have just tried it the first time,so bear with me.
> I have used the FAE.EXE to create 60 GIFs, but the AVI maker
> wants bitmaps (BMP files).
> Is there an easy way to convert all gifs to BMPs?
> Or to create BMPs in the first round?
>
> Please reply to my personal email.
> Thank you very much!
>
> Karl Scherer
> 11 Utting Str, Auckland, New Zealand
> [e-mail]
> Seen my homepage lately?
> http://www.kiwi.gen.nz/~karl
>
>
> --------------------------------------------------------------
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------------------------------

Date: Mon, 24 Jan 2000 01:03:51 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 24-01-00 (Indescribable Brot) (c)

FOTD -- January 24, 2000

Fractal enthusiasts and visionaries:

I tried to think of a name for today's picture.  I failed.  In
the end I decided on the name "Indescribable Brot", which says
more about my inability to find a name than about the image
itself.

The scene is one of a midget in the (-Z)^1.5+C Mandeloid.  The
midget is located in the East Valley area of a larger midget,
(if midgets of order 1.5 can be said to have East Valleys).
Although the scene is pretty well fragmented, there is still
some order amid the chaos, with the pattern around the midget
appearing as though it could be part of an infinite spiral.

The formula behind the image is a very simple one from my file
of Julibrot slices.  This particular midget could be interesting
when seen from other directions.  I may give it a try when I
find a spare moment.

The parameter file runs in less than 3 minutes on a P200 machine
- -- just slow enough to make a download of the image more
efficient.  That image may be found on Usenet at:

          <alt.binaries.pictures.fractals>

and on the Web at:

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

The fractal weather was dull and cloudy all day.  The 7cm
snowfall that was forecast turned out to be most unimpressive.
Instead of 7cm we got closer to 7 flakes.  The temperature of
25F (-4C) was still too cold for the fractal cats.

As for our friend Percy Smedley, he's still trying to decide
what part of his room he should paint first.  He's got a real
problem because it's always best to start painting in a corner,
and a four-dimensional room has many different kinds of corners.

Our familiar 3-D rooms have two kinds of corners -- edge corners
where two walls meet and point corners where the edge corners
meet the floor and ceiling.  4-D rooms are far more interesting.
In addition to edge corners where three faces meet and point
corners where four edges meet, 4-D rooms have face corners where
two adjacent wall-cubes meet.  This is a total of 16 point-
corners, 32 line-edges, and 24 plane-faces.  No wonder Percy is
having such difficulty making his decision.

I'll reveal Percy's big decision in tomorrow's discussion.
Until then, take care, and wait with bated, not abated breath.


Jim Muth
[e-mail]


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

MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}

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

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

Indescribable_Brot { ; time=0:02:48:44, SF5 on a P200
  reset=2000 type=formula formulafile=slices.frm
  formulaname=MandelbrotMiN passes=t
  center-mag=+0.58475619114027540/+1.22065898185497500\
  /1.629549e+007/1/60 params=1.5/0/0/0/0/0 float=y
  maxiter=5000 bailout=25 inside=0 logmap=106
  symmetry=none periodicity=10
  colors=000XMfaJdXMfI03J04L06P1FS1MV3T<3>f4vaCpYJlTPg\
  PXcLa_GgVCjQDfPFYPGQPIJOJFOPDOTFY`LfgQooYxvcz0zzP70P\
  upSjl<2>_L_aCVc3STLiL`zCpzi_zcdzYjlSp_MvLIz7PuCXoGci\
  JicOpYQxSVzMYfIdJFl0CrSYjvsc<3>pIYo9Xm0Vm0Vg0aa0gY0m\
  S0sM0yI0zC0z70z6Fz4Sv4dm3rc3zV0zg0ys0vz0uz3mz<3>SLyY\
  Dvc6ri0oiJ1z00m7CaMMQ_XLoSJuPIzO9da0LoIDv_6zp0zz0zlF\
  dS`1O`CJ`MG`VC`d7`o4`xGdySgzajz<2>`7zvIAmTOdd_YplPzx\
  IzzPyyXloa_diLVp7Lv0Cr0Do0Dj0D<2>`0DX0GS7JOGLJQOF_QA\
  gS<2>9YA9V49S0DLDGFPJ9`O1lQ0xT0zQGmOfTLz9XyAgrAsjAzc\
  AzYAzPFsIJgAOX3S<3>iXMlcLoiJs`IvTGsSLrQPpPTmOXlM`jLd\
  iLgJmm0zr0zj0zd1zY<3>Dz9Fz3AzD6zO3zX0zf0zo7zfJz_TzSd\
  zJpzCzz4yz6yz7xz7xz9xz9lzD<2>IzQTzVdzYpz``zudzzizzlz\
  zfzzazzYzzSzz<2>FzzGzzIzoJzaJzPTzc<2>LzmJzpGzuDzxAzz\
  9zzFzzJzzPzzTzz_zzczyizymzyizvfzszz`zz_yz`szamzc
  }

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

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

Indescribable_Brot { ; time=0:02:48:44, SF5 on a P200
  reset=2000 type=formula formulafile=slices.frm
  formulaname=MandelbrotMiN passes=t
  center-mag=+0.58475619114027540/+1.22065898185497500\
  /1.629549e+007/1/60 params=1.5/0/0/0/0/0 float=y
  maxiter=5000 bailout=25 inside=0 logmap=106
  symmetry=none periodicity=10
  colors=000XMfaJdXMfI03J04L06P1FS1MV3T<3>f4vaCpYJlTPg\
  PXcLa_GgVCjQDfPFYPGQPIJOJFOPDOTFY`LfgQooYxvcz0zzP70P\
  upSjl<2>_L_aCVc3STLiL`zCpzi_zcdzYjlSp_MvLIz7PuCXoGci\
  JicOpYQxSVzMYfIdJFl0CrSYjvsc<3>pIYo9Xm0Vm0Vg0aa0gY0m\
  S0sM0yI0zC0z70z6Fz4Sv4dm3rc3zV0zg0ys0vz0uz3mz<3>SLyY\
  Dvc6ri0oiJ1z00m7CaMMQ_XLoSJuPIzO9da0LoIDv_6zp0zz0zlF\
  dS`1O`CJ`MG`VC`d7`o4`xGdySgzajz<2>`7zvIAmTOdd_YplPzx\
  IzzPyyXloa_diLVp7Lv0Cr0Do0Dj0D<2>`0DX0GS7JOGLJQOF_QA\
  gS<2>9YA9V49S0DLDGFPJ9`O1lQ0xT0zQGmOfTLz9XyAgrAsjAzc\
  AzYAzPFsIJgAOX3S<3>iXMlcLoiJs`IvTGsSLrQPpPTmOXlM`jLd\
  iLgJmm0zr0zj0zd1zY<3>Dz9Fz3AzD6zO3zX0zf0zo7zfJz_TzSd\
  zJpzCzz4yz6yz7xz7xz9xz9lzD<2>IzQTzVdzYpz``zudzzizzlz\
  zfzzazzYzzSzz<2>FzzGzzIzoJzaJzPTzc<2>LzmJzpGzuDzxAzz\
  9zzFzzJzzPzzTzz_zzczyizymzyizvfzszz`zz_yz`szamzc
  }

frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}

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


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

Date: Mon, 24 Jan 2000 22:40:50 +1300
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) Colour Map Recognition, dos help

At 21:55 20/01/2000 -0500, you wrote:
>> i tried the ">" redirect and it still went to console...am i just doing
this
>> wrong?
>
>I haven't looked at the program in question, but I assume that the
redirection
>operators only work on the standard output stream.  Perhaps the program uses
>some other method of output, such as writing to the screen.
>
It may be overkill to use download it _just_ for this, but one of the more
useful features of Programmer's File Editor is "DOS Command to Window". You
type in the command line, and it will run a DOS session, capturing all
writes to screen, and displaying the net result in a new editor window.

The final versions (Windows 3.1, 95/98, NT, 2000) are at

http://www.lancs.ac.uk/people/cpaap/pfe/

Unfortunately PFE's author has gone on to other things :-(. If only I were
a Windows C programmer...

Morgan L. Owens
"C'mon! Pattern matching! Please!"



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

Date: Mon, 24 Jan 2000 21:35:29 EST
From: [e-mail]
Subject: Re: (fractint) Colour Map Recognition, dos help

Thanks, in frustration i downloaded a program called CloneMaster which worked
very well.

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

Date: Tue, 25 Jan 2000 01:15:59 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 25-01-00 (Juju Mandel Midget) (c)

FOTD -- January 25, 2000

Fractal enthusiasts and visionaries:

There's Juju afoot.  When I saw today's fractal I thought at
once of an African ceremonial mask.  The name "Juju Mandel
Midget" came to mind for no apparent reason, and the name stuck.

The formula behind the image is a very simple Z+1/Z+C, a formula
that seems ready to draw little more than a blank screen or a
circle, but draws unexpectedly rich fractals.

The parameter file is a very fast one, but if you would rather
download the finished image, that image can be found posted to
Usenet at:

          <alt.binaries.pictures.fractals>

and to the World-Wide Web at:

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

The fractal weather today was about average, with partly cloudy
skies and a temperature of 36F (2C) that was still too chilly
for the fractal cats, but warm enough to melt a little of the
snow.  And speaking of snow, a blizzard is forecast for
tomorrow, with 12inches (30cm) or more by evening.  But our
local weather experts are notoriously bad at forecasting snow,
so we'll see how it goes.

All is going well with Percy Smedley, our four-dimensional
painter with a 4-D room to paint.  Unfortunately, I found no
time today to observe his actions.  I'll try again tomorrow.
Until then, take care and, don't get snowed under by a backlog
of fractals.


Jim Muth
[e-mail]


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

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

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

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

Juju_Mandel_Midget { ; time=0:00:41.02 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.91192106626604100/0.0/1220.514
  params=1/-1/1/1/0/0 float=y maxiter=1750 bailout=25
  inside=0 outside=real logmap=yes
  symmetry=xaxis periodicity=0
  colors=000PIn<2>H6Peky<3>KCQx31<2>Q3D2jv<3>ALZCFTPKP\
  UPORLN<3>KALI8LG5KF3Kb5crpJE1Er2FF2FFcGF2G<2>F3HrZxp\
  VthRscNg<3>K7MLzf<3>GFMAaV<3>EELF8JpOgWcTNLNaEG<3>M6\
  HI4HXCkg`LYPJOEIDL2<3>ECAF9CF7EF5GBB78Ap<2>E4Q`0v<2>\
  K3R5cE7ZF8UF<3>DUHEUHrWmZXXTYEDZW<3>EbOFcMFcKFcILciI\
  cVGcW<2>FcKyc6acC5cC<2>DcGCcO<3>FcIhc39c8<3>EbGMcA<3\
  >GgGohvAic<2>ElMDmQ<3>EqLFrKFsJFtIhuP<2>MxJ2y1<3>DzE\
  1zm<3>DzN9zJBzIDzHIzdGzTQzxMziIzV6zC<3>BzFCzGDzGEzHV\
  zKVzJ<3>LzHJzHHzHwzd<3>OzLPzc<3>KzSIzPHzMGzJEzyFzbtz\
  E<2>PzH3zV<3>AzNCzLEzJ1zndzhWzZNzQ8zd<3>EzLPzB<3>KzE\
  IzFHzGGzH3zB<3>AzFCzGEzHHzk<3>FzNhz2<3>PzCKzFmze<5>K\
  zKSzw
  }

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

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

Juju_Mandel_Midget { ; time=0:00:41.02 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.91192106626604100/0.0/1220.514
  params=1/-1/1/1/0/0 float=y maxiter=1750 bailout=25
  inside=0 outside=real logmap=yes
  symmetry=xaxis periodicity=0
  colors=000PIn<2>H6Peky<3>KCQx31<2>Q3D2jv<3>ALZCFTPKP\
  UPORLN<3>KALI8LG5KF3Kb5crpJE1Er2FF2FFcGF2G<2>F3HrZxp\
  VthRscNg<3>K7MLzf<3>GFMAaV<3>EELF8JpOgWcTNLNaEG<3>M6\
  HI4HXCkg`LYPJOEIDL2<3>ECAF9CF7EF5GBB78Ap<2>E4Q`0v<2>\
  K3R5cE7ZF8UF<3>DUHEUHrWmZXXTYEDZW<3>EbOFcMFcKFcILciI\
  cVGcW<2>FcKyc6acC5cC<2>DcGCcO<3>FcIhc39c8<3>EbGMcA<3\
  >GgGohvAic<2>ElMDmQ<3>EqLFrKFsJFtIhuP<2>MxJ2y1<3>DzE\
  1zm<3>DzN9zJBzIDzHIzdGzTQzxMziIzV6zC<3>BzFCzGDzGEzHV\
  zKVzJ<3>LzHJzHHzHwzd<3>OzLPzc<3>KzSIzPHzMGzJEzyFzbtz\
  E<2>PzH3zV<3>AzNCzLEzJ1zndzhWzZNzQ8zd<3>EzLPzB<3>KzE\
  IzFHzGGzH3zB<3>AzFCzGEzHHzk<3>FzNhz2<3>PzCKzFmze<5>K\
  zKSzw
  }

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

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


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

Date: Tue, 25 Jan 2000 10:52:59 -0500
From: <[e-mail]>
Subject: Re[2]: (fractint) Quickie post par

- --simple boundary
Content-Type: text/plain; charset=ISO-8859-1
Content-Transfer-Encoding: 7bit
Content-Description: "cc:Mail Note Part"

here is the formula.  in the future i will post the formulas.

JDG-7-01c {; Formula by Jim Deutch, Modified Sylvie Gallet frm
           ; image and 60 deg rotation w/ palette divided
  j = -0.5 + flip(0.5*sqrt(3)), j2 = conj(j)
  IF (whitesq)
    z = pixel
  ELSE
    z = -j2*pixel
  ENDIF
  :
  x = z*j , y = z*j2
  x1 = x - p1*fn1(y + fn2(p2*z))
  y1 = y - p1*fn1(z + fn2(p2*x))
  z1 = z - p1*fn1(x + fn2(p2*y))
  z = z1 + x1*j + y1*j2
  t1 = (|z| <= 32)
  t = t1 || (whitesq == (imag(z) >= 0))
  IF (t==0)
    z = conj(z)
  ENDIF
  t1
  ;SOURCE: sgjdg701.par
}



____________________Reply Separator____________________
Subject:    Re: (fractint) Quickie post par
Author: <[e-mail]>
Date:       1/22/00 1:49 PM

Where can I find, or can you send me the jdc-7-01c formula? I am unable to
find it in my frm folder.

Thanks,

Mitch B.

"The destination is not that rewarding if you have not had the experience of
the journey".  Jimmy Buffett


>From: [e-mail]
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) Quickie post par
>Date: Fri, 21 Jan 2000 21:42:06 EST
>
>jest a couple of pars i really enjoyed.  The GiraSol series was just some
>quick evolver investigations into the formula jdg-7-01c.
______________________________________________________
Get Your Private, Free Email at http://www.hotmail.com


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

Date: Tue, 25 Jan 2000 21:19:16 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 26-01-00 (Fractal Tetragon) (c)

FOTD -- January 26, 2000

Fractal enthusiasts and visionaries:

How could I have doubted the weather experts.  Last evening they
forecast a blizzard and today we are having a blizzard.  The
heavy snow of this morning was followed by very heavy snow this
afternoon, and by whiteout conditions this evening, accompanied
by roaring winds, pink lightning and rolling thunder.  It is
currently snowing so heavily that the individual flakes have
blended into a fog, which has cut visibility to under 100 feet
(30 meters).

The temperature is 22F (-5.6C); the wind is north at 30mph
(50kph); the snow depth is currently 22 inches (56cm), and
accumulating at a rate of 2 inches (5cm) per hour.  And the
snowdrifts are already over one's head.

Obviously, it's a perfect day for fractals.  Early this after-
noon I gave up trying to keep the driveway clear, and retired to
my P200 computer to find a fractal.  The one I found appears as
today's FOTD.  It is a midget that lies in the fractal that
results when Z^2.501 is subtracted from Z^2.499.

I named the picture "Fractal Tetragon".  A tetragon is another
name for a square, and today's midget is surrounded by an
unusual square pattern.  (An octagon with pincushion distortion
lies inside the square, but we'll ignore that for now.)

I gave the tetragon a rather hasty coloring and declared it
Fractal of the Day.  The parameter file is slow enough to make a
download the better way of viewing the image.  That image has
hopefully been posted to:

          <alt.binaries.pictures.fractals>

and to:

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

from where it may be picked up with a minimum of hassle.

The telephone circuits are totally jammed, so I might have
difficulty getting the image posted, but by post time, things
should have slacked off a bit.

The fractal weather we've already discussed; I'm a bit too dis-
tracted to do justice to Percy Smedley's four-dimensional paint
job, so I guess that nothing remains but to say, until next
time, take care, and if you're along the northeast coast of the
USA, don't get snowed under.


Jim Muth
[e-mail]


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

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

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

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

Fractal_Tetragon   { ; time=0:06:46.22 SF5 on a P200
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.70480792579755/-0.01018641669925502/15\
  94105/1/-147.499 params=1/2.499/-1/2.501/100/0
  float=y maxiter=1750 bailout=25 inside=0 logmap=93
  symmetry=xaxis periodicity=0
  colors=0008Jk<4>3Jk<3>G_iJciMhh<3>Yxg<6>SWjRSjQOj<3>\
  N8k<4>JGVIHSHJP<2>FNFFOCFOC<9>GHBGGBGFB<3>GCBa8hi9fm\
  9ep9dm9cl9bnFYpKToKT<3>lcSkhSjmSjrSisR<8>bvQawPawP<2\
  >ZxPZxP_vO<12>aYMaWMbUM<3>bNMJeY<3>NUWORWPOW<3>celgj\
  pjnt<8>hprhprhpr<2>hprhprjqn<3>pqbrrZsrW<3>yrK<3>1kT\
  <3>LsRQuQUwQJta9rl<5>Nk`PiZRhX<3>_dP<3>jJImDGo8F<3>f\
  4Wc3_a2c_1gY0k<3>lC_oFXsIUvKS<8>neGmgEmjD<2>jq9is8it\
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  RzTVzQZzNbzL<3>RzZOzbLzeJzh<9>9zj
  }

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

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

Fractal_Tetragon   { ; time=0:06:46.22 SF5 on a P200
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-1.70480792579755/-0.01018641669925502/15\
  94105/1/-147.499 params=1/2.499/-1/2.501/100/0
  float=y maxiter=1750 bailout=25 inside=0 logmap=93
  symmetry=xaxis periodicity=0
  colors=0008Jk<4>3Jk<3>G_iJciMhh<3>Yxg<6>SWjRSjQOj<3>\
  N8k<4>JGVIHSHJP<2>FNFFOCFOC<9>GHBGGBGFB<3>GCBa8hi9fm\
  9ep9dm9cl9bnFYpKToKT<3>lcSkhSjmSjrSisR<8>bvQawPawP<2\
  >ZxPZxP_vO<12>aYMaWMbUM<3>bNMJeY<3>NUWORWPOW<3>celgj\
  pjnt<8>hprhprhpr<2>hprhprjqn<3>pqbrrZsrW<3>yrK<3>1kT\
  <3>LsRQuQUwQJta9rl<5>Nk`PiZRhX<3>_dP<3>jJImDGo8F<3>f\
  4Wc3_a2c_1gY0k<3>lC_oFXsIUvKS<8>neGmgEmjD<2>jq9is8it\
  7fuZ<3>jyQkzOlzM<3>ozDpzBqz9rz7rz5<3>Dz`3zh7ze<3>NzV\
  RzTVzQZzNbzL<3>RzZOzbLzeJzh<9>9zj
  }

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

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


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

Date: Thu, 27 Jan 2000 00:55:21 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 27-01-00 (A Super Quickie) (c)

FOTD -- January 27, 2000

Fractal enthusiasts and visionaries:

Today's fractal is a super quickie, both in the time I took to
find it and the time it takes to render.  That's why I gave it
the name "A Super Quickie".  I make no unwarranted claims for
the artistic level of the finished product, nor for its
mathematical importance.

The expression that was calculated by the M-Mix4 formula to
produce today's FOTD is 3*(Z^(-4))-2Z+C.  I spent about 15
seconds entering the parameters and all of three minutes finding
the midget.  The image rendered in 30 seconds, making a total of
less than four minutes from boot-up to finished fractal, and
believe me, nothing even close to art can be produced in that
time in such a production-line manner.

The cut-off midget is typical of the disconnected midgets that
appear in fractals that are not connected.  It lies in a tiny
isolated spot in the East Valley area of the parent fractal.
The cut-off nature of the midget is reflected in the cut-off
nature of its surrounding features.

The parameter file is very fast, while the download is not quite
as fast, but a lot more convenient.  The JPEG image can be found
ready for download on Usenet at:

          <alt.binaries.pictures.fractals>

and on the Web at:

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

I had so little time to devote to fractal hunting today because
I spent most of the day shoveling snow from the fractal
driveway.  The weather was partly cloudy with a temperature of
30F (-1C).  The fractal cats did venture onto the porch for a
few seconds to see what all the white stuff was.  But the cold
and snow was too much for them, and their noses were back inside
before their tails were out.

Our four-dimensional friend, Percy Smedley, is an artist as well
as a painter, and it just happens that he is interested in
fractals.  Having two extra walls and one extra dimension to
dispose of, he decided to paint a picture of the Z^2+C Julibrot
onto one of the walls.  I'll describe the thing he painted in
the next FOTD, which is only 24 hours away.

Until then, take care, and fractals are everywhere.


Jim Muth
[e-mail]


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

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

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

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

A_Super_Quickie    { ; time=0:00:29.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+3.93763929419721800/+2.84864640310647800\
  /986022.6/1/125 params=-2/1/3/-4/0/0 float=y
  maxiter=175 bailout=25 inside=0 logmap=16
  symmetry=none periodicity=0
  colors=000mmummu<3>quwrwxITSPWYW`bbfhhpmpvse88<12>kS\
  SkTTkVV<3>m__E`O<2>BcP<8>MhYNiZPj_<4>TlcUldWme<13>ku\
  rlusnvt<3>rxxzDy<3>zXxz`xzex<2>ztxzuf<3>zwrzxuzzb<21\
  >zxszxtzxu<3>zxxzwS<18>zxpzxqzxr<3>zxwz_V<79>zvvzwvz\
  ww<3>zxxz5f<20>zit
  }

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

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

A_Super_Quickie    { ; time=0:00:29.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=+3.93763929419721800/+2.84864640310647800\
  /986022.6/1/125 params=-2/1/3/-4/0/0 float=y
  maxiter=175 bailout=25 inside=0 logmap=16
  symmetry=none periodicity=0
  colors=000mmummu<3>quwrwxITSPWYW`bbfhhpmpvse88<12>kS\
  SkTTkVV<3>m__E`O<2>BcP<8>MhYNiZPj_<4>TlcUldWme<13>ku\
  rlusnvt<3>rxxzDy<3>zXxz`xzex<2>ztxzuf<3>zwrzxuzzb<21\
  >zxszxtzxu<3>zxxzwS<18>zxpzxqzxr<3>zxwz_V<79>zvvzwvz\
  ww<3>zxxz5f<20>zit
  }

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

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


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

Date: Fri, 28 Jan 2000 02:42:15 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 28-01-00 (Disorder) (c)

FOTD -- January 28, 2000

Fractal enthusiasts and visionaries:

I named today's fractal "Disorder".  I gave it this name because
the picture takes the disorder of seemingly total chaos and
makes it into a recognizable Mandelbrot scene.

I could just as well have named the picture 'Now you see it; now
you don't'.  The pattern around the midget has a strange
tendency to totally vanish if the color palette is not set just
right.  A small amount of color cycling will reveal this
tendency, and change the picture into a nearly featureless mass
of fractal sand.

The parameters that I entered into my warhorse formula were
chosen on a whim.  The color palette was as good as I could do
in the little bit of time I had to devote to fractals.

The parameter file is relatively slow, making a download of the
image by far the better choice.  For today only, the image is
posted in GIF format.  The standard JPEG format caused too much
degradation.  The image may be found posted to the binary Usenet
group:

          <alt.binaries.pictures.fractals>

and to the web at:

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

Fractal Central is still basically snowbound.  The fractal
weather today was sunny but very cold and windy, with a
temperature of 12F (-11C) that removed all thoughts of going
outside from the minds of the fractal cats.  But they had their
day's excitement this afternoon, when a large pile of snow slid
from the roof and landed outside their sunny window with an
earth-shaking thump.  Unfortunately some rain gutter came down
with the snow, which did nothing for my fractal temperament.

We left Percy Smedley, the fractal painter, painting a picture
of the Julibrot in the 3-D surface of his wall.  Although his
painting is three-dimensional, it is still only a picture, a
projection of the actual four-dimensional figure.  But even so,
it can be fit into our 3-D space.

Does this mean that we could visualize the 4-D Julibrot by
studying a 3-D picture of it?  No it does not, for we cannot
view the 3-D picture in the proper manner.  Regardless of the
angle from which we viewed the picture, we would be looking at
it edge-on.  Our view would be like holding a flat photograph
edge-on and viewing it in that manner.  Our minds would
interpret what we saw as only a 3-D object.  To get a proper
view of Percy's picture, we would need to see every point of its
solid interior at a single glance, and this can be done only
from the direction that is perpendicular to our 3-space.
However, even the edge-on view of the 3-D projection of the 4-D
Julibrot is interesting, with its convolutions and its parabolic
tendrils shooting off to infinity.

While I'm trying to visualize what I just described, I'd best
shut down the fractal shoppe for another day.  Until tomorrow,
take care, and don't let the lack of a dimension make you flat.


Jim Muth
[e-mail]


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

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

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

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

Disorder           { ; time=0:24:27.34 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+4.67250477271021100/+0.49840999691577580\
  /77477.38/1/-177.499 params=0.15/1.5/-1.5/-0.15/3/0
  float=y maxiter=32000 bailout=25 inside=0 logmap=228
  symmetry=none periodicity=10
  colors=000QaSQaSQaTQaTQcVQcVQcXQcXQdYQd_Qd_Qd`Pf`Pfa\
  PfaPfcPgcPgdPgdPgfPifPigPiiPiiPjjPjjPjlPjlOlmOlmOloO\
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  Tg`SgSSgJQgCQg3Pg0Qg0<4>Og0QgPSgOQgPQgQQgQ
  }

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

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

Disorder           { ; time=0:24:27.34 SF5 on a P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+4.67250477271021100/+0.49840999691577580\
  /77477.38/1/-177.499 params=0.15/1.5/-1.5/-0.15/3/0
  float=y maxiter=32000 bailout=25 inside=0 logmap=228
  symmetry=none periodicity=10
  colors=000QaSQaSQaTQaTQcVQcVQcXQcXQdYQd_Qd_Qd`Pf`Pfa\
  PfaPfcPgcPgdPgdPgfPifPigPiiPiiPjjPjjPjlPjlOlmOlmOloO\
  loOmpOmpOmrOmsOosOouOouOovOpvOpxOpxOpyMry<4>MszMszMs\
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  >CgSDgTFgTFgVGgXIgYJg_Lg_Mg`OgaOgcPgdQgdSgfTggVgiVgi\
  Tg`SgSSgJQgCQg3Pg0Qg0<4>Og0QgPSgOQgPQgQQgQ
  }

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

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


- --------------------------------------------------------------
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Post Message:   [e-mail]
Get Commands:   [e-mail] "help"
Administrator:  [e-mail]
Unsubscribe:    [e-mail] "unsubscribe fractint"

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

Date: Fri, 28 Jan 2000 23:07:30 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 29-01-00 (Patchwork Fractal) (c)

FOTD -- January 29, 2000

Fractal enthusiasts and visionaries:

Today's fractal is . . . well . . . different.

Sometimes I suspect that all my quadratic midgets are basically
the same.  Oh, the patterns around them might vary somewhat, but
the overall picture is basically unchanged.  Today's fractal
midget laid my suspicions to rest.

I named the image "Patchwork Fractal".  It's a fair name, since
the picture resembles a patchwork quilt perhaps more than
anything else.  Instead of an orderly palette of colors, we have
the wildest jumble of color imaginable, yet in the midst of this
madness there is order.  There are four straw-colored patches
arranged in a kind of symmetry, and four greenish arms spiral-
ling inward, among countless other symmetries.

The expression that was calculated by the MandelbrotMix4 formula
to produce today's FOTD is 0.13(Z^3)-25(Z^-23)+C -- another
unlikely combination.

The parameter file runs in six minutes; the JPEG image file
downloads in two minutes.  The choice is up to the viewer.  The
image may be found at:

          <alt.binaries.pictures.fractals>

and also at:

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

The fractal weather was sunny and just slightly warmer today,
with a temperature of 23F (-5C), which combined with the deep
snow pack to keep the fractal cats indoors.  And believe it or
not, the TV weather experts are telling of another big snowfall
come Sunday.

Our fractal friend Percy the painter also spent the day indoors,
passing the time pondering the picture of the Julibrot figure
that he just painted in the wall of his room.  I suspect that
he'll hang a four-dimensional model of the Julibrot from the
ceiling when he finishes the painting, but only time will tell
how he decides to decorate his room.

If I were Percy, I would have decorated the six walls of my room
with pictures of the six regular 4-D hypersolid figures.  But
since I am not Percy, I can only describe these figures.  I'll
begin with figure number one tomorrow.  Until then, take care,
and be at peace.


Jim Muth
[e-mail]


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

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

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

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

Patchwork_Fractal  { ; time=0:06:33.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+1.10815017952117200/+0.12954995055820110\
  /769764.8/1/39.999 params=0.13/3/-25/-23/0/0 float=y
  maxiter=1400 bailout=25 inside=0
  logmap=58 symmetry=none periodicity=10
  colors=000fBR<4>ZDTYEUWEU<3>QFV<3>ebXihYmnYpsYlVT<3>\
  _ZCW_8TK4QN0<3>HbKFfPDjUBmY<9>NsnPtoQtq<3>UvwYooqVhm\
  UakOQdNEzvWurYtnZnk_<5>jQfiMghIi<2>f7lf4mg7j<8>pSQqV\
  NrXL<3>veC<6>gT6eR5cP4<3>WI1<5>ODBMCDLBF<3>G8L<4>XF`\
  _HdbIg<3>oNs<9>XSeVTdTTc<2>NV_MVZMSa<3>MHm<3>YSe`Vcc\
  Ya<3>ngUBD4<13>P6NQ6PR5Q<3>V4V<8>iZMkaLmeK<3>srH<16>\
  tMbtKctId<3>tBi<3>xCgyCgzCf<7>zDczDczDbzDb<15>zJPzJO\
  zJN<3>zKKzAQzAQzBR
  }

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

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

Patchwork_Fractal  { ; time=0:06:33.04 SF5 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+1.10815017952117200/+0.12954995055820110\
  /769764.8/1/39.999 params=0.13/3/-25/-23/0/0 float=y
  maxiter=1400 bailout=25 inside=0
  logmap=58 symmetry=none periodicity=10
  colors=000fBR<4>ZDTYEUWEU<3>QFV<3>ebXihYmnYpsYlVT<3>\
  _ZCW_8TK4QN0<3>HbKFfPDjUBmY<9>NsnPtoQtq<3>UvwYooqVhm\
  UakOQdNEzvWurYtnZnk_<5>jQfiMghIi<2>f7lf4mg7j<8>pSQqV\
  NrXL<3>veC<6>gT6eR5cP4<3>WI1<5>ODBMCDLBF<3>G8L<4>XF`\
  _HdbIg<3>oNs<9>XSeVTdTTc<2>NV_MVZMSa<3>MHm<3>YSe`Vcc\
  Ya<3>ngUBD4<13>P6NQ6PR5Q<3>V4V<8>iZMkaLmeK<3>srH<16>\
  tMbtKctId<3>tBi<3>xCgyCgzCf<7>zDczDczDbzDb<15>zJPzJO\
  zJN<3>zKKzAQzAQzBR
  }

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

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


- --------------------------------------------------------------
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"

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

Date: Sun, 30 Jan 2000 01:27:26 -0500 (EST)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD, 30-01-00 (Frosty Minibrot) (c)

FOTD -- January 30, 2000

Fractal enthusiasts and visionaries:

I awoke this morning to frost on the window panes.  The frost
melted as soon as the heat came on, but when I saw today's
feathery midget, I was reminded of those feathery patterns that
oh so briefly decorated my windows.  I immediately named the
picture "Frosty Minibrot".

The scene is part of the fractal that results when Z^363 is
subtracted from Z^365 and the difference multiplied by a factor
of 972.  Due to the extremely delicate nature of its features,
this fractal should be calculated at a resolution of at least
1024x768.  At that resolution the parameter file renders in 13
minutes -- slow enough to make the download the better choice.
The image may be found ready for easy downloading at:

          <alt.binaries.pictures.fractals>

and at:

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

The fractal weather today was sunny and 32F (0C), still too cold
and snowy for the fractal cats to venture out of doors.  Another
snow and ice storm is due tomorrow, so I suppose the cats will
be housebound for quite a while.

Yesterday, we left Percy Smedley pondering his bare walls.
We'll leave him there again today while I work up a discussion
of the six regular polytopes in four-dimensional space.  I also
must work up a bit of action for the philofractal list, which is
once again playing dead.

While I'm working up the action, take care, and the more one
wonders, the more one searches; the more one searches, the more
one knows.


Jim Muth
[e-mail]


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

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

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

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

Frosty_Minibrot    { ; time=0:12:57.75 SF7 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.99700518618206060/+0.00004996484224636\
  /282064.3/1/42.5 params=1/365/-1/363/971/0 float=y
  maxiter=1000 bailout=25 inside=0 logmap=20
  symmetry=xaxis periodicity=10
  colors=000DA6CB6CCACDACEFCFK<6>BMRBNSBOT<3>BTX<3>NY`\
  QZaS`b<2>`cccecdfc<8>ipciqcjrc<2>kuckvclwelxgmyimzl<\
  3>ozmozmozm<2>czl<2>Szb<9>OzSOzROzQ<3>NzMPzNRzO<7>_z\
  T`zUazU<3>ezXfzOgzX<13>uzTvzTwzTxzTyzT<3>zzSzzRzzRzz\
  RzzRzzQ<20>zzezzfzzg<3>zzi<9>zzJzzGzzD<3>zz3<8>zzPzz\
  RzzU<3>zzc<20>zzZzzZzzZzzZzzZzzX<6>zzgzzizzj<3>zzp<7\
  >zzQzzMzzJ<3>zz6<21>zza
  }

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

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

Frosty_Minibrot    { ; time=0:12:57.75 SF7 on P200
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.99700518618206060/+0.00004996484224636\
  /282064.3/1/42.5 params=1/365/-1/363/971/0 float=y
  maxiter=1000 bailout=25 inside=0 logmap=20
  symmetry=xaxis periodicity=10
  colors=000DA6CB6CCACDACEFCFK<6>BMRBNSBOT<3>BTX<3>NY`\
  QZaS`b<2>`cccecdfc<8>ipciqcjrc<2>kuckvclwelxgmyimzl<\
  3>ozmozmozm<2>czl<2>Szb<9>OzSOzROzQ<3>NzMPzNRzO<7>_z\
  T`zUazU<3>ezXfzOgzX<13>uzTvzTwzTxzTyzT<3>zzSzzRzzRzz\
  RzzRzzQ<20>zzezzfzzg<3>zzi<9>zzJzzGzzD<3>zz3<8>zzPzz\
  RzzU<3>zzc<20>zzZzzZzzZzzZzzZzzX<6>zzgzzizzj<3>zzp<7\
  >zzQzzMzzJ<3>zz6<21>zza
  }

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

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


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End of fractint-digest V1 #442
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