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fractint-digest         Sunday, July 16 2000         Volume 01 : Number 484




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

Date: Sat, 8 Jul 2000 16:57:40 -0400
From: Lee Skinner <[e-mail]>
Subject: (fractint) Galleries

Hi all,

  Just a note to announce some newer galleries of some of my images.
Although the Fractal Dimensions web site is no longer available at Michae=
l
Taylor's website, a few representative images may now be found at:

  English version:
   <http://www.fractalus.com/sylvie/fracdime.htm>
  French version:
   <http://www.fractalus.com/sylvie/fracdimf.htm>

And a few much more recent "lake" images of the MandelbrotMix4 formula
may be found here:

  English version:
   <http://www.fractalus.com/sylvie/lslakese.htm>
  French version:
   <http://www.fractalus.com/sylvie/lslakesf.htm>

Some very high-res (1600x1200) true-color of the formula Carr2821-lake
images may be found at

http://members.xoom.com/ereckase/skinnermuseum.htm

Enjoy.

Lee

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

Date: Sat, 8 Jul 2000 23:01:26 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 09-07-00  (Nothing Much [6])

FOTD -- July 09, 2000  (Rating 6)

Fractal visionaries and enthusiasts:

Today's FOTD is nothing much -- so that's what I named it.  How
can it be much, when it's nothing more than a scene deep in the
Seahorse Valley area of the classic Mandelbrot set.  The scene
is not even deep enough to require arbitrary precision math.
It's the kind of fractal we were impressed by 10 years ago, but
most of us have long since outgrown.

Oh, it's a little bit unusual.  At 3,000,000, the maxiter is
quite high, and most of the features in the picture are well
over the 100,000 iteration range, but with our modern high-speed
computers such an image can be calculated in an hour or less.
On an aging Pentium 200mhz it takes 1-1/2 hours to render.

I have rated the picture a somewhat above average 6 on my scale
of fractal worth.  I gave it this rating because of the
coloring, which in my opinion is just good enough to raise the
image the 1 point to a little above average.  Basically, the
picture features a lurid inner area, hinting at violence and
evil, surrounded by a celestial blue background, suggesting
peace and serenity.

The midget in the picture lies deep in one of those triple
spirals that are located at the mouths of the secondary buds
deep in Seahorse Valley.  The triple spiral effect is quite
noticeable at the edge of the dark red disk surrounding the
midget.

The hour or two render time is quite a long while to wait to see
such an unimportant fractal.  The far more efficient way to view
the scene is to download the pre-rendered image file in GIF
format from the Usenet binary group:

          <alt.binaries.pictures.fractals>

or from the web at:

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

The fractal weather today was once again perfect, with deep blue
skies streaked with angel-hair cirrus, and a temperature of 81F
(27C), which pleased the cats, who showed their pleasure by
sleeping most of the day.  I was not as pleased, since I had no
excuse to postpone trimming the fractal lawn.  But all was not
lost, for while pushing the mower, I pondered the mysteries of
the fourth dimension, which of course are not mysteries at all.

The metaphysical (Isn't the fourth dimension also metaphysical?)
philosophy didn't even stir today, which could be a good or bad
thing, depending on whether or not one agrees with the
philosophy.

There's no debate that the time has come to shut down the
fractal shoppe, feed the fractal cats, and settle into my
laziest chair to watch the usual Saturday evening junky movie
thriller.  Until next time, when some 4-D talk is a good bet,
take care, and mid-summer (or mid-winter) is but a few weeks
away.


Jim Muth
[e-mail]


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

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  reset=2000 type=mandel passes=1
  center-mag=-0.75000815057999990/+0.00232960628639844\
  /6.860656e+012/0.9998/172.523/-0.007 params=0/0
  float=y maxiter=3000000 bailout=25 inside=0
  logmap=75513 symmetry=none periodicity=10
  colors=000D8_<2>78Y58X26W<6>9GPAHOBJN<2>ENKFOJEPIGPH\
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  FnDFnCEoA<36>MapM`qN`r<3>N_v<15>HLGGKEGJB<2>FG3FG1GF\
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  `QmaS<3>meYmgZmia<3>mqWmsUmuTmwRmxMmyLmzKmzM<3>mzGmz\
  EmzDmzC<10>mz9
  }

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


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

Date: Mon, 10 Jul 2000 00:44:20 EDT
From: [e-mail]
Subject: (fractint) FOTD, 10-07-00  (A Midget for Sunday [5])

FOTD -- July 10, 2000  (Rating 5)

Fractal visionaries and enthusiasts:

Today brings another very slow midget from a very difficult high-
iteration part of the Mandelbrot set.  The midget in today's
picture lies in the north branch of the fifth valley of the
period-10 radical on the northeast shore of the main bay of the
M-set.

I named the picture "A Midget for Sunday" because that's the day
of the week on which I found it.  The image was given a small
but helpful contrast boost in a separate graphic program.  (I do
occasionally permit myself this one bit of fractal impurity.)

I thought I was being liberal when I set the maxiter to 360,000
for today's picture.  But it turns out that even this was too
conservative, for even at a maxiter of 360,000, the central
midget is not fully resolved.  A maxiter of 500,000 would be
more appropriate for this image.

The logmap of -55373 indicates that most of the image is
composed of fractal material in the 100,000-plus iteration
range.  It is this aspect of the picture that causes the
parameter file to render so slowly.  Any render time over one
hour demands a download of the image, which may be found on
Usenet at:

          <alt.binaries.pictures.fractals>

and on the WWW at:

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

The fractal weather today turned out to be just about average
for these parts in early July.  The temperature of 87F (30.5C)
and high humidity made things a but too sultry for heavy outdoor
work, but near perfect for light indoor work such as searching
for fractals.  The fractal cats slept through most of the midday
heat.

The fractosophy went nowhere today.  Not only is it hard to
concentrate in hot weather, it's even harder when one has
nothing to concentrate on.  Eventually I'll solve the mysteries
of existence, but not for quite some time yet.

For now, it's time to shut down the fractal shoppe and call it a
night.  Until next time, take care, and fractals will always be
a mystery to me.


Jim Muth
[e-mail]


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

A_Midget_forSunday { ; time=1:15:74.75 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=mandel passes=1
  center-mag=+0.33313110839152770/+0.05012066202761432\
  /3.64154e+012/1/20.001 params=0/0 float=y
  maxiter=360000 bailout=25 inside=0 logmap=-55373
  symmetry=none periodicity=10
  colors=000380180<2>0900900C31E75FB9IGEJKIKOMNU<3>aUj\
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  SMXSMXSM<2>XSMXSMXUM<33>YVMYVMYUM<9>YUM
  }

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

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

Date: Mon, 10 Jul 2000 13:19:31 GMT
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) FOTD 08-07-00 (A Midget in Blue [7])

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>CC: [e-mail]
>Subject: (fractint) FOTD 08-07-00  (A Midget in Blue [7])
>Date: Fri, 7 Jul 2000 22:54:04 -0400 (EDT)
>
>
>FOTD -- July 08, 2000  (Rating 7)
>
>Fractal enthusiasts and visionaries:
>
>Today's fractal rates a 7 -- the second above average fractal
>with such a rating in a week.

Once again, you rock! What a stunner!!!

PS. Trouble with my 4D raytracer: ray tracing is heavily based on
calculating surface normals. But the surface normal of a 4D plane is another
plane... I can't even construct a fuction for deciding which points lie
inside and which are outside, never mind perform ray intersection tests on
it...

Further worries later (I'm shure!)...


________________________________________________________________________
Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com


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

Date: Tue, 11 Jul 2000 03:34:27 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD 08-07-00 (A Midget in Blue [7])

At 13:19 10/07/2000 +0000, Andrew Coppin wrote:

>PS. Trouble with my 4D raytracer: ray tracing is heavily based on
>calculating surface normals. But the surface normal of a 4D plane is
>another plane... I can't even construct a fuction for deciding which
>points lie inside and which are outside, never mind perform ray
>intersection tests on it...

Ah, but you're using _rays_, aren't you? One-dimensional things? The
surface of a four-dimensional object is a _volume_!

Morgan L. Owens
"Rubik's Tesseract!"



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

Date: Mon, 10 Jul 2000 21:56:33 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 11-07-00  (Infinite Diamonds [5])

FOTD -- July 11, 2000  (Rating 5)

Fractal visionaries and enthusiasts:

Converging strings of pearls.  Radiating strings of diamonds.
Diamonds without end.  An infinity of fractal diamonds -- all
this in a simple fractal.  That fractal is today's fractal, and
once again, the fractal comes from the unlimited reservoir of
the MandelbrotMix4 formula.

The parent fractal is an asymmetrical Mandeloid rotated 110
degrees CCW from the normal left-is-west position.  The midget
in today's image lies at the tip of the period-2 tail of the
parent fractal.

The expression that drew the image is Z^(-0.6)-1.2Z+1/C, a
mixture of positive and negative powers of Z.  Such a mixture
often draws fractals with eye-shaped features, or in the case of
today's image, perfectly symmetrical sharp-angled eye-shaped
features that resemble diamonds.

At first glance the picture appears to have X-axis symmetry.
This is an illusion.  Though it cannot be noticed in the image,
the scene is in no way symmetrical.

I named the picture "Infinite Diamonds" because the number of
diamonds in it is infinite.  Of course, infinity is not a
number, it is the condition of being without limit, which is
just another way of saying that the number of diamonds in the
picture is without limit.

The picture rates a perfectly average 5 on my 0-to-10 scale of
fractal value.  If I had more time, I could have worked out a
more suitable color scheme, and with more time, I also could
have found a midget with more diamonds.

As an extra bonus, the parameter file is the fastest in several
days.  On a tired old P200 machine, it runs in 36 seconds.  The
time spent copying the file to the Fractint directory will be
longer than this.

For those who wish to avoid the hassle of copying and naming a
file, the GIF image has been posted to the Usenet binary group:

          <alt.binaries.pictures.fractals>

and to Paul Lee's web site at:

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

The weather today here at Fractal Central was sultry.  The day
started with a thunder-shower at daybreak, and ended with
another thunder-shower just before sunset.  neither of the
showers amounted to much.  The temperature of 91F (33C) was a
bit too warm for the fractal cats, who preferred to pass the day
lounging in the air-cooled fractal room.

The fractal philosophy stirred only a tiny bit as I pondered the
mysteries of the fourth dimension with its metaphysical four-
dimensional objects composed of curved and flat three-
dimensional spaces.  The surfaces of these 4-D objects are 3-D
boundaries with 3-D volume.  The task of visualizing an object
with a 3-D boundary-surface is impossible, yet there appears to
be no reason why this must be so.  The math flows smoothly from
one dimension to the next, with nothing special about 3-space.
Perhaps it's all in our minds.  I'll ponder this aspect in far
more depth when the muse stirs.

Regardless of where the secret to the fourth dimension lies,
it's now time to shut down the fractal shoppe for another
evening, shoo the cats, and call it a day.  Until tomorrow, when
I'll return with more goodies, take care, and when good fractals
happen to good people, everyone is happiest.


Jim Muth
[e-mail]


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

Infinite_Diamonds  { ; time=0:00:36.26 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip
  center-mag=-0.03474520578034267/+0.08388234702240095\
  /9.91477e+010/1/-112.5 params=1/-0.6/-1.2/1/0/0
  float=y maxiter=1200 bailout=25 inside=0
  logmap=16 symmetry=none periodicity=10
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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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------------------------------

Date: Tue, 11 Jul 2000 23:10:27 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 12-07-00  (An Alien Minibrot [6])

FOTD -- July 12, 2000  (Rating 6)

Fractal visionaries and enthusiasts:

I named today's fractal picture "An Alien Minibrot".  This name
seemed appropriate when I noticed that the irregular debris
surrounding the central midget is unlike anything I have
previously come upon.  The fractal expression that drew the
image is -24Z^(-1.2)-24Z^(-2.25)+(1/C).  The image was
calculated by the MandelbrotMix4 formula, which automatically
initializes Z to a critical point of the expression being
calculated.

Due to an unexpected rush of work this afternoon, I lacked the
time to give the picture the coloring it deserves, but the
present palette serves rather well to illustrate the strange
features of this image, which I rate as a slightly optimistic 6.

At 8 minutes, the parameter file is a bit too slow to be
efficient.  Downloading the GIF image from:

          <alt.binaries.pictures.fractals>

or from:

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

is a far more efficient way of viewing the alien vista.

The fractal weather today was partly cloudy, with a temperature
of 80F (26.5C), which was perfect for the cats, who spent
several hours on the porch, watching the squirrels climbing and
leaping through the trees.

Due to all the work, the philosophy suffered a setback today,
but it is once again beginning to stir, and in a week or so will
be ready for presentation to the eagerly waiting world.

For now however it's time to shut down the fractal shoppe, shut
my mouth, make the cats happy (if possible), and call it a
night.  Until next time, take care, and a fractal snack twice a
day is a great way to lose weight.


Jim Muth
[e-mail]


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

An_Alien_Minibrot  { ; time=0:08:21.12 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 9
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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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Date: Wed, 12 Jul 2000 20:53:19 -0300
From: "Fernando Bresslau" <[e-mail]>
Subject: (fractint) surfaces

Hi, all! I┤m having lot┤s of ideas, but I need some help. Can anyone show me
the path I┤ll have to follow?
I want to put fractals into a CAD/CAM system. That is, I want to make a
surface out of a height field. I┤ve done this (the height field) in POV, but
I really want to export this surface info to a CAD prog. Has anyone already
done that? Does anyone know which progs to use? I could learn a lot myself,
but I don┤t even know how to begin. If I could work the gif info into a file
containing the pixels coordinates and the color number (height), I think I
could gon on myself. So, suggestions most welcome!
Fernando Bresslau
http://www.fractal.art.br - my modest site, in portuguese, sorry.


__________________________________________________
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Date: Wed, 12 Jul 2000 23:58:24 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 13-07-00  (This is not a Midget [3])

FOTD -- July 13, 2000  (Rating 3)

Fractal visionaries and enthusiasts:

The formula Z^2+C draws Mandelbrot sets or Julia sets, depending
on the way it is iterated.  If both parts of Z are fixed, the
formula draws Mandelbrot sets; if both parts of C are fixed, it
draws Julia sets.  But what if different parts of both Z and C
are fixed?

This can be done in four different ways.  And in these cases the
formula draws four entirely new types of fractals, which I have
named Oblate sets, Rectangular sets, Parabolic sets and Elliptic
sets.  These four new groups of sets, along with the familiar
Mandelbrot and Julia sets, mark the six perpendicular
orientations through the four-dimensional Julibrot figure.

Just as Mandelbrot and Julia sets have their distinguishing
characteristics, so do these four new families of sets.  In the
new sets we find few Mandelbrot features, but many of the
familiar features of the Julia sets are there, and also many new
features, such as stretching, and the narrow, straight-edged
bands I call bridges.  Two of these bridges are visible near the
top and bottom edges of the midget in today's picture.

Just as it is possible to draw perpendicular slices through the
Julibrot figure, so is it possible to draw slices oriented
obliquely.  Today's picture is one of these oblique slices.

The hole at the center is actually a midget in the Scepter
Valley area of the M-set.  It also appears as a fancy hole in
many Julia sets.  But this midget, which in its fullness is
actually a four-dimensional hole in a 4-D object, has been
sliced in an unfamiliar direction.

At this angle we do not see a Mandelbrot midget, nor do we see a
fancy hole in a Julia set.  We see an entirely new type of hole,
a roughly rectangular thing with those filamentary bridges at
the top and bottom.

The orientation of this slice is within 6 degrees of the oblate
direction.  Many of the familiar features of Scepter Valley are
visible in the picture, but in places they are stretched beyond
recognition.

I named the picture "This is not a Midget" after Magritte's
famous painting of a pipe, which he named "This is not a Pipe",
implying that it is only a picture of a pipe.  The hole in
today's picture is not a midget because only holes sliced in the
Mandelbrot direction can be called midgets.  The artistic value
of the picture is below average, permitting a rating of only a 3.

Don't let the render time of 1 hour panic you.  This time is on
an ancient 486-66mhz machine, which was the only machine
available today, my Pentium being tied up with a very slow
fractal.  On a Pentium 200mhz the parameter file will finish in
around 8 minutes.  As always, the GIF image has been posted in
its full glory to:

          <alt.binaries.pictures.fractals>

and to:

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

The fractal weather was once again perfect, with crystal blue
skies and a temperature of 84F (29C).  The fractal cats approved
of the perfection by catching a cicada.

The fractal philosophy is still slumbering, but before long it
will awaken with a mighty roar, enlightening all who read it.
However today is not the day on which that will happen, so until
next time, take care, and happy fractaling.


Jim Muth
[e-mail]


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

ThisIsNot_A_Midget {;time=1:01:39.95--SF5 on a 486-66mhz
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=multirot-XZ-YW passes=1
  center-mag=+0.00000014017740139/+0.00000000818683823\
  /91390.37/0.9263/-169.71/82.281
  params=84.124/-1.342/-1.2510561243/0.0133126434/-1.2\
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  inside=0 logmap=478 periodicity=10
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  zYTzXY<3>z`GzZEz_DzaC<3>zo8zs7zv6<3>zuPztUztYztbzue<\
  3>zyizzjzzkzzl<6>zzm
  }

frm:multirot-XZ-YW {; Jim Muth
; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect
e=exp(flip(real(p1*.01745329251994))),
f=exp(flip(imag(p1*.01745329251994))),
z=f*real(pixel)+p2, c=e*imag(pixel)+p3:
z=sqr(z)+c,
|z| <= 36  }

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


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Date: Fri, 14 Jul 2000 00:26:17 EDT
From: [e-mail]
Subject: (fractint) FOTD, 14-07-00  (One Wooly Minibrot [6])

FOTD -- July 14, 2000  (Rating 6)

Fractal visionaries and enthusiasts:

I've seen wooly-bears -- caterpillars that is.  But wooly
Minibrots?  Now that's something new.  However the elements
surrounding the Minibrot in today's FOTD certainly do look like
those wooly caterpillars that appear in the autumn and
supposedly can foretell the weather of the coming winter.  I'm
not convinced that the real caterpillars can actually foretell
weather, much less that the fractal look-alikes can do it,
though the fractal woolies do make an unusual picture.

The unusually simple fractal formula responsible for today's
image is 1.4(Z^1.5+Z^15)+1/C.  But don't be deceived by the
simplicity.  As is the case with nearly all fractals, the total
is greater than the sum of its parts.

The parent fractal consists of one Mandeloid and several
featureless holes, all these features lying beyond the southwest
edge of the default screen.  The Mandeloid is oriented East
Valley up, with excess detail radiating from the valley itself.
Knowing that where excess detail is found, interesting midgets
are also usually found, I explored these East Valley features.

The midgets eluded me at first, but soon I noticed the tell-tale
symmetrical features which indicate midgets.  Today's midget
soon followed.

The coloring was done a bit hastily, but it is still adequate.
The parameter file renders in a little under 3 minutes, making a
download of the GIF image the more efficient choice.  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 today was cloudy with occasional heavy
showers that kept the cats indoors.  The afternoon temperature
of 65F (18C) was about as cool as it ever gets in the afternoon
in mid-July.

The philosophy simmered most of the day, but failed to reach a
full boil.  We may have better luck tomorrow, when I'll return
with another fractal specially designed to amaze and delight.
Until then, take care, and be amazed and delighted.


Jim Muth
[e-mail]


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

One_Wooly_Minibrot { ; time=0:02:50.11 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-3.54842305346022500/-3.09497819370686700\
  /73988.85/1/165 params=1/1.5/1/15/0.4/0 float=y
  maxiter=400 inside=0 logmap=52 periodicity=10
  colors=00064DCBG<3>20E35G3AH5FI<3>PYNUbOZgQclTmqKwuK\
  wbKzjKbOWUDNKAAAAA_RYVVW<2>HwQJmPLcONZN<3>UNKWKJYHI<\
  2>c8Fd6Fd9J<3>dHWdJbdLhdNmdPrdRzdTzdVzXRzPAIHA0DAI9k\
  _5yq<8>TmuVkuYjv<3>gew<2>Tp7EqY0rw3Sz62z<8>41z41z41z\
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  P7mO7mO7mORmK<4>emVhmXkmZ<3>wmf8mR<2>am1<2>Dmnhmlimk\
  jmkjmk<5>nmcombpma<3>rmX`mPJmI<2>WmK<5>HmH
  }

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, 14 Jul 2000 22:34:25 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 15-07-00  (This is a Minibrot [7])

FOTD -- July 15, 3000  (Rating 7)

Fractal visionaries and enthusiasts:

Today's fractal image most certainly is a picture of a Minibrot.
When I first saw it, I was tempted to state that the image is
not a Minibrot because it is only a picture of a Minibrot, but
then I realized that pictures of Minibrots are the real thing.
A picture of a Minibrot, and indeed of any fractal, is the
object itself.  Today's picture is a picture that was produced
without an object being photographed.  It is as close to an
actual Minibrot as one can possibly come.

This, along with the fact that two days ago I posted an image
that was not a picture of a minibrot, is why I named today's
picture "This is a Minibrot".

The formula that created the image is Z^(-0.6)+(Z^(-6)+(1/C),
another unexpectedly simple expression, which in this case has
produced a striking picture of a midget at the center of a
fractal spiral.

The parent fractal is a strangely twisted Mandel-shape, somewhat
too large to fit on the default screen.  An outzoom reveals the
entire figure, which has a prominent bud at its east edge.  From
this bud a prominent tail shoots out, but this tail is not the
normal infinitely deep filament, it is rather a broad area of
fascinating intricacies, with an obvious 'S'-shaped curve at its
center.  I found today's midget deep down in this curve.

The midget is better viewed than described.  That veiwing may be
accomplished by running the parameter file and waiting 8-1/2
minutes, or by going to the Usenet group:

          <alt.binaries.pictures.fractals>

or Paul Lee's web site at:

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

and downloading the GIF image file from there.

The fractal weather today was exciting to say the least, as the
most violent thunder-storm of the year pelted the Fractal
Central area with 2-inch (5cm) hailstones, torrential rain,
spectacular lightning, and high winds.  The wind and hail
stripped so many leaves from the trees that the fractal lawn
will need a raking.  The fractal cats took shelter in the
basement until the water started coming in.  Then they dashed to
the bedroom closet to weather the rest of the storm.  They are
just now venturing into the open.  Surprisingly, there was no
power failure, so the FOTD will go out on schedule.

The fractosophy is still on a simmer, but the pressure to
pontificate is building and the lid may blow at any time,
releasing the wisdom of the ages for all the world to see.  But
that time has not yet quite arrived, so check here tomorrow at
about this same time for possible enlightenment and certain
amusement.

Until then, take care, and be patient, for the best is yet to
come.


Jim Muth
[e-mail]


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

This_is_a_Minibrot { ; time=0:08:29.93 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+2.872362067538974/+1.227930592848623/2.7\
  04756e+007/1/137.499 params=1/-0.6/1/-6/0/0 float=y
  maxiter=1400 inside=0 logmap=137 periodicity=10
  colors=000Kmk<15>EGGEEEECC<3>D45<3>CEKCGSCIWCL`CNcCP\
  hCSmCUtCWw2SzCYwMbtWgselroqqyxp<16>yU_yTZyRYyPXyNWzL\
  U<3>vPXvQYuRZtSZpT_mU`iV`cVWYSU<2>VKOUHRTFTVER`DVfCU\
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  >UwUUxYWya<8>mzWozWqzVszUuzUwzTxzTyzT<3>zzVzzVzzU<8>\
  zzQzzQzzQ<2>zzOzzOzzM<2>zze
  }

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, 15 Jul 2000 22:49:20 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 16-07-00  (Shrimp Festival [5])

FOTD -- July 16, 2000  (Rating 5)

Fractal visionaries and enthusiasts:

What do you get when you take Z^(-1.2) add Z^(-2.3), multiply
the sum by -24 and finally add 1/C?  Why a basket of shrimp of
course.  Now I realize that a basket of shrimp is one of the
least expected things to come from a fractal formula, but what
can I say? -- the shrimp are in the picture, and I can't deny
the evidence of my own eyes.

True, it takes a bit of searching to pick out the shrimp, but
like those dirty words and pictures subliminally embedded in
commercial advertising, once they have been found, the shrimp
become glaringly obvious.  (Hmmm . . . I feel like making a
quick run to the seafood restaurant a mile or so down the road.)

Because of all the shrimp in the area of the midget in today's
FOTD picture, I named it "Shrimp Festival".  It's a different
kind of name, having none of the usual fractal connotations.
IMO, the artistic quality of today's picture is a come-down from
yesterday's.  I could honestly rate the effort at no more than a
5.

The parent fractal is an indescribable thing with smooth outer
edges and fractal debris filling the interior.  An obvious bit
of Mandeloid stuff surrounds a bay on the south edge of this
interior debris.  The scene of today's image lies in the second
valley of a side bud at the edge of this bay.

At a render time of 11 minutes, the parameter file is too slow
to be practical.  Therefore a download of the GIF image file is
strongly recommended.  That download may be found on the Usenet
network, posted to the binary group:

          <alt.binaries.pictures.fractals>

and on the Web at Paul Lee's site at the URL:

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

The fractal weather continues unsettled, with a very heavy
thunder-storm overnight being followed by another one this
afternoon.  We have now received over 4 inches (10cm) of rain in
24 hours.  The fractal cats are getting shell-shocked.  At least
the temperature is about as cool as it ever gets here (the
northeast corner of Baltimore, Maryland, USA) in July, with the
thermometer struggling to reach the mid-70's F (mid-20's C).

And I'm struggling to get the next round of fractal-oriented
philosophy started.  Unfortunately, I had no luck today, though
I'll try again tomorrow.

Until then, take care, and keep your fractals dry.


Jim Muth
[e-mail]


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

Shrimp_Festival    { ; time=0:11:11.51 -- SF5 on a p200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.5631088685160116/-0.303287451331795/1.\
  818684e+010/1/80 params=1/-1.2/1/-2.3/-25/0 float=y
  maxiter=1500 inside=0 logmap=216 periodicity=10
  colors=000vqz<3>vpzvozvqzvnzmlzunzupzumznmzulznlyulx\
  qkwukwukopgfkccf`_aTXXQTSKQNIMIFJBCFDBGEDGGFGHMG<3>N\
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  <2>6Xl4Ym2Zp<14>Cm`Dn_EnZ<4>HtUIuTIvS<3>LzOJzK<3>NzP\
  OzQPzRQzS<6>RzT
  }

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: Sun, 16 Jul 2000 21:35:36 +1000
From: "succubus" <[e-mail]>
Subject: (fractint) colourmaps

This is a multi-part message in MIME format.

- ------=_NextPart_000_07C0_01BFEF6D.C77D13C0
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hi,
Does anyone have any colourmaps colated other than those that come =
standard with fractint?

Does anyone have an explanation of ifs type fractals ie. what each of =
the numbers means & how fractint processes them. I haven't found enough =
info in fractint help.

Thanks in advance.

- ------=_NextPart_000_07C0_01BFEF6D.C77D13C0
Content-Type: text/html;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 HTML//EN">
<HTML>
<HEAD>

<META content=3Dtext/html;charset=3Diso-8859-1 =
http-equiv=3DContent-Type>
<META content=3D'"MSHTML 4.72.3110.7"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT color=3D#000000 size=3D2>Hi,</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2>Does anyone have any colourmaps =
colated other=20
than those that come standard with fractint?</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>Does anyone have an explanation of =
ifs type=20
fractals ie. what each of the numbers means & how fractint processes =
them. I=20
haven't found enough info in fractint help.</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>Thanks in =
advance.</FONT></DIV></BODY></HTML>

- ------=_NextPart_000_07C0_01BFEF6D.C77D13C0--


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

End of fractint-digest V1 #484
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