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fractint-digest         Sunday, July 23 2000         Volume 01 : Number 485




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

Date: Sun, 16 Jul 2000 09:59:44 -0500
From: Bob Margolis <[e-mail]>
Subject: Re: (fractint) colourmaps

> succubus wrote:
>
> Hi,
> Does anyone have any colourmaps colated other than those that come
> standard with fractint?

Try this URL:

http://spanky.triumf.ca/pub/fractals/maps/

Cheers,

Bob

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Date: Sun, 16 Jul 2000 22:56:11 +0200
From: "Ton Koppens" <[e-mail]>
Subject: Re: (fractint) colourmaps

Hi,

I've some 1400 colormaps collected over the last 5 years, ranging from ugly
to very nice.
If you're interested send me a private e-mail and I'll zip and forward them.

Greetings,

Ton


[e-mail]


- -----Original Message-----
From: succubus <[e-mail]>
To: [e-mail] <[e-mail]>
Date: Sunday, July 16, 2000 3:28 PM
Subject: (fractint) colourmaps


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.



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Date: Sun, 16 Jul 2000 16:18:50 -0500
From: Bob Margolis <[e-mail]>
Subject: Re: (fractint) colourmaps

Ton Koppens wrote:
>
> Hi,
>
> I've some 1400 colormaps collected over the last 5 years, ranging from ugly
> to very nice.
> If you're interested send me a private e-mail and I'll zip and forward them.
>

Please include me. Thank you.

Bob

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Date: Sun, 16 Jul 2000 21:32:49 -0300
From: "Fernando Bresslau" <[e-mail]>
Subject: Re: (fractint) colourmaps

This  calls another issue back. I┤ve recently downloaded some dozens of
other fractal progs which aren┤t so famous as frain or UF, and among them
was one which allowed you to easily change the colourmaps in a list in a
drop down menu, it was instantaneously and very nice. I miss this easy
access to maps in frain or UF. I suggest a key combination to change through
all the colourmaps in one directory. instead of pressing "e", "l", change to
the directory, arrow key, enter, we could use some ctrl+alt+shift+ nice
combination. I would really apreciate that to be in fractint┤s wish list.
Fernando Bresslau
http://www.fractal.art.br


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Date: Mon, 17 Jul 2000 00:47:05 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 17-07-00  (Mega-Minus Fractal [5])

FOTD -- July 17, 2000  (Rating 5)

Fractal visionaries and enthusiasts:

For over 3 years I've been opening the FOTD discussion with the
introduction: 'Fractal visionaries and enthusiasts'.  The
description of a fractal enthusiast is obvious, but what is a
fractal visionary?

The truth is that I am not sure.  I simply invented the phrase
one day early in the life of the FOTD, and it kind of stuck
around.  The dictionary defines a visionary as a dreamer whose
ideas are impractical, and also as a seer -- one who sees
visions.  It would therefore appear that a fractal visionary is
a person who wastes too much time searching for fractals -- In
other words, someone like myself.

But is it truly a waste of time working with fractals?  I think
not.  After all, one must do something with their spare time,
and despite the words of some unenlightened critics, fractals
have become a form of art.  So a fractal visionary might well be
an artist -- an artist whose medium is numbers.  And there's
nothing impractical about that.

I named today's picture "Mega-Minus Fractal".  I gave it that
name because it shows what can be done by adding together
negative exponents of Z.  The formula that drew today's image
is 1.25(Z^(-0.5)+Z^(-10))+(1/C).  The parent fractal is near the
point of inversion -- too large to fit on the screen even at the
smallest magnitude available.

Ignoring the almost infinite extent of the entire fractal,
I directed my attention to a double-bay midget near the center.
I zoomed into a double valley separating the two large bays to
find today's midget.  Unfortunately, when I found it, I spent
too little time coloring it.  Thus the rating of an average 5.

The image of today's fractal is better viewed than described.
It may be viewed by running the parameter file and waiting
almost 7 minutes, or by downloading the fully-rendered image
from Usenet at:

          <alt.binaries.pictures.fractals>

or from the W.W.Web at:

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

The fractal weather today would have been ideal had it not been
for an hour-long dry lightning storm this afternoon, which was a
true spectacle, and sent the fractal cats scurrying for their
most secluded hiding places.  The temperature of 78F (25.5C) was
ideal, though unappreciated amid the turmoil.

The fractal philosophy went nowhere.  It might go somewhere
tomorrow; it might continue stagnated.  Check then to find out.
And until then, take care, and become a fractal visionary by
becoming one with your fractals.


Jim Muth
[e-mail]


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

Mega-Minus_Fractal { ; time=0:06:43.64 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+6.45906747057268800/+1.10441249439956900\
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  colors=000sfPofNmfLkeJijH<3>af9_e6Yd7Wc8Ub8<3>PZAOXB\
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  edbfeb<3>jjd<25>o_LoZLoZK<2>pYIqXHsXGuWG<2>yVDzVDzUC\
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  e3_f2a<6>dAhdBicCjcDkcFl<3>bJsbKuaLwaMy<16>YdzYezXfz\
  XgzXhzYjz<18>UgzTgzTgz<3>Sfz6gz<2>Bfz
  }

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: Mon, 17 Jul 2000 08:49:36 GMT
From: [e-mail]
Subject: Re: (fractint) FOTD 17-07-00  (Mega-Minus Fractal [5])

On Mon, 17 Jul 2000 00:47:05 -0400 (EDT), Jim Muth
<[e-mail]> wrote:

>
>FOTD -- July 17, 2000  (Rating 5)
I think you underrated this one.

juice --have fun --harm none
INTP  web2.airmail.net/ebt

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

Date: Mon, 17 Jul 2000 19:43:56 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) Re: FOTD 17-07-00

At 08:49 AM 7/17/00 GMT, it was written:

>>FOTD -- July 17, 2000  (Rating 5)

>I think you underrated this one.

Remembering when a grade of 'A' in school was truly exceptional,
I rate my FOTD's conservatively.  For an image to rate a 9 it
must be truly exceptional.  For a rating of 10, the image must
be the best I have ever done.

Jim M.


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Date: Mon, 17 Jul 2000 22:52:26 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 18-07-00  (Holey Midget [6])

FOTD -- July 18, 2000  (Rating 6)

Fractal visionaries and enthusiasts:

For almost a year I have given the FOTD's a rating somewhere
from 0 to 10 on my arbitrary scale of fractal worthiness.  To
this point the highest rating has been a 9, and the lowest, a 2.
Since June 1, the rating of the FOTD's has been as follows:

        Rating  0 --  0
        Rating  1 --  0
        Rating  2 --  0
        Rating  3 --  5
        Rating  4 --  7
        Rating  5 -- 12
        Rating  6 -- 13
        Rating  7 --  6
        Rating  8 --  1
        Rating  9 --  1
        Rating 10 --  0

As is true of most random distributions, most FOTD's have scored
near the middle of the scale.  As can be seen by plotting a
graph, the distribution is a roughly drawn version of the well-
known bell curve.  With a larger sample the curve would become
smoother.  The sample lacks 0's 1's and 2's because I reject
these poor quality fractals.  It lacks 8's 9's and 10's because
these exceptional fractals are quite difficult to create.  Since
June 1 the average rating has been 5.3, which shows that my
rating judgement is honest, and that I do not practice grade
inflation.

However I do appreciate those who tell me that I occasionally
under-rate my fractals.  And while appreciating the kind
comments, I never forget that beauty is in the eye of the
beholder.

And speaking of beauty, we have a FOTD to discuss.  Today's
image is a scene I found in the fractal created by the formula
10Z^(-6.67)+Z^(-0.667)+(1/C).  This formula draws a grossly
overblown thing which must be seen to be appreciated.  Today's
scene lies in a shallow valley near the extreme east edge of the
parent fractal.

The scene is that of the usual midget, in this case surrounded
by holes of all shapes and sizes.  Lots of holes is another
feature of fractals created by adding negative powers of Z.  The
holes may be made larger by increasing imag(p3), which defines
the escape radius, until the image becomes nothing but one big
hole, in which case the inside fill must be set to something
such as bof61 to create an image and resurrect the spirit of the
vanished midget.

At almost 1/4 hour, the parameter file is a slow one to
calculate.  The far wiser choice is to download the finished GIF
image from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today finally settled down a bit.  The
partly cloudy skies, temperature of 86F (30C), and lack of
thunder brought out the best in the fractal cats, who were more
like their old selves as they chased each other around the yard.

The fractal philosophy is still stagnated however, but the
pressure to pontificate is still building, and when it breaks
loose anything might happen.  But the only thing that's going to
happen right now is that I'm going to shut down the fractal
shoppe and call it a night.  Until tomorrow, take care, and
fractals are good for the soul and spirit.


Jim Muth
[e-mail]


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

Holey_Midget       { ; time=0:13:37.73 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
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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: Mon, 17 Jul 2000 22:41:38 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: (fractint) Re: [philofractal] FOTD 18-07-00  (Holey Midget [6])

Jim Muth wrote:
>
> For almost a year I have given the FOTD's a rating somewhere
> from 0 to 10 on my arbitrary scale of fractal worthiness.  To
> this point the highest rating has been a 9, and the lowest, a 2.
>

A bit of trivia, there have been two as high as "9", and interestingly
they have both been related to jungles:

    February 25, 2000  --  Jungle of Fractals
        June 01, 2000  --  Mandelbrot Jungle

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

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

Date: Tue, 18 Jul 2000 04:03:17 -0400
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) colourmaps

An IFS fractal is generated by a set of transformations represented by 3x=
2
matrices indicating
an affine transformation (rotation, scaling, and shear) followed by a
translation (slide). I don't
know the details, but the numbers are probably parameters of these
transformations. The
fractal is defined by the criterion that it is the union of the specified=

transformations of itself.
The exact fractal can be found by a depth-first search of the tree of
successive transformations
performed on a representation of the unit square, where each branch ends
when the area of
the resulting parallelogram is less than one pixel. (This is guaranteed b=
y
the requirement that
the affine component is contractive (absolute value of determinant less
than one).
Fractint, however, (at least the version I had) uses a Monte-Carlo
approximation in which a
random sequence of transformations is applied to a single point. This has=

the disadvantage of
taking exponential time in the number of zooms. =


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

Date: Tue, 18 Jul 2000 12:55:57 +0200
From: Guy Marson <[e-mail]>
Subject: Re: (fractint) FOTD 18-07-00  (Holey Midget [6])

Hi Jim,

nice are the majority of your creations! I am trying desperately to find
nice corners with "invert=1" (in the y-screen) but no chance until now.. Or
does somebody know a way to find +/- the same corners with invert=1 (or
invert=any other value)?

cheers,

Guy


>
>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]
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>Unsubscribe:    [e-mail] "unsubscribe fractint"
>


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Date: Tue, 18 Jul 2000 22:25:17 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 19-07-00  (Destiny [8])

FOTD -- July 19, 2000  (Rating 8)

Fractal visionaries and enthusiasts:

I like today's fractal.  I like it enough to have considered
giving it a rating of 9, but a second appraisal convinced me
that it is honestly worthy of a lesser but still outstanding
rating of 8.  The bands in the purple areas are just a bit too
obvious.  With more time I could have done better.  (Those 9's
are indeed difficult to come by, and those 10's happen only a
few times in a lifetime.)

The iterated formula Z^(-0.5)+10Z^(-10)+(1/C) that produced the
image draws a many-lobed figure, somewhat too large for the
default screen, with a double-lobed bay at the east end.  The
scene of today's FOTD lies deep in the shoreline of that bay.

The parameter file is another slow one, rendering in just under
12 minutes on a Pentium 200mhz.  The GIF image with its data
intact has been posted to:

          <alt.binaries.pictures.fractals>

and to:

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

Whether or not one gets the data information depends on the
particular software that person is running.

The fractal weather was quite warm today, with a temperature of
89F (31.5C) that the cats found enjoyable.  The perfection was
marred slightly by a light shower in the afternoon, but it was
not enough to dampen the cats' enthusiasm.

The philosophy floundered and foundered as I tried to determine
the meaning of life.  I decided that the meaning of life is to
find fractals, but then I started wondering about the meaning of
searching for fractals.  About that time a customer called on
line number 2 and I had more important things to attend to.

I might tackle the meaning of life question tomorrow, but it's
still only about a 10 percent chance.  I'll have another
glorious fractal for certain however, so check back then to be
amazed, delighted, entertained, and lots of other enjoyable
things.

Until tomorrow, take care, and cherish your day.


Jim Muth
[e-mail]


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

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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, 19 Jul 2000 23:55:51 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 20-07-00  (A Eutectic Mixture [9])

FOTD -- July 20, 2000  (Rating 9)

Fractal visionaries and enthusiasts:

No, there is no mistake.  Today's FOTD actually rates a 9 -- at
least in my opinion.  This is only the third time since I began
rating my FOTD's this past Feb 6th that I have been able to give
such a distinguished rating to a fractal.  I almost gave a
rating of 9 to yesterday's FOTD, but now I'm glad that I settled
for the 8, since today's picture is notably better and well
worth the 9.  Now if I can only find a 10 . . .

I gave the coloring of today's image the extra effort that I
failed to give yesterday's picture, and that extra effort made
the difference, as both underlying images have about the same
potential.  I named today's picture "A Eutectic Mixture" because
the parent fractal appears to be the best that can be obtained
from this particular alloy of negative powers of Z.

The iterated fractal formula that drew today's image is
Z^(-0.09)+15Z^(-15)+(1/C) -- a harmless expression that leaps to
life when it is iterated.  The parameter file takes over 18
minutes to render on a Pentium.  The GIF image file saves time
by downloading in a far shorter time.  That download 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 and remarkably cool for
this, the hottest time of year.  The afternoon temperature of 62F
(16.5C) was quite a bit too chilly for the cats.  The steady
light rain that set in during midday took all thoughts of the
outdoors from their minds.

I was too busy fractaling to do much philosophizing today.  I'll
be fractaling again tomorrow, so there's no guarantee that I'll
have philosophy then either.  But check anyway.  Sometimes the
strangest things happen.

Until next time, take care, and a great fractal can turn a
cloudy day sunny.


Jim Muth
[e-mail]


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

A_Eutectic_Mixture { ; time=0:18:37.79 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+4.69537095997045400/+0.32186770158987670\
  /4.039309e+010/1/-107.499 params=1/-0.09/15/-15/0/0
  float=y maxiter=2100 inside=0 logmap=368
  periodicity=10
  colors=000R0I<3>S0LT0MT0NU0OU0PW0Q<2>X0TY0UY0T<3>_0P\
  `0O`0Na0Ma0Kb0Jb1J<14>IAGGAGFBGDCGCCFBDF9CF8AF6CF5CF\
  2DG<24>_`BaaAbbA<3>geA<3>OiSJjXEj`<3>FmUFmSFnQFoPFoN\
  IpLPpJ<3>hsDmsBmt9ru9wt8wq8qn7lk7gh6<2>P_5OX5<3>SL3T\
  I3UF2VC2V81<20>a9Ab9Ab9B<2>c9Cc9Ce7A<6>VKIUMJSOK<2>O\
  UNMWOJYR<8>QWMRWLSWLTWK<3>WTIXSIXRHYQHZPG<3>nLErKEvK\
  DzVB<3>iTFeTHaTK<3>LSWERZBUaIYd<2>khmilp<11>JrJHsGFs\
  D<3>6u2<17>FhWGhYGgZ<2>IecIdeHad<3>IggZXL
  }

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, 21 Jul 2000 01:34:36 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 21-07-00  (The Elephants Walk [3])

FOTD -- July 21, 2999 (Rating 3)

Fractal visionaries and enthusiasts:

Today's FOTD, which is quite a come-down from yesterday, shows
some elephants.  I named the picture "The Elephants Walk"
because that's what the elephants appear to be doing.

For purposes of clarification, various parts of the Mandelbrot
set have been given descriptive names such as Seahorse Valley,
Elephant Valley, Scepter Valley, etc.  The names refer to the
shapes of the features in these valleys, and a bit of
imagination is necessary of course to see the vague resemblance
to the objects the valleys are named after.

Perhaps the easiest things to find are the guardian elephants
trotting out of East Valley, the valley that begins at 0.25 on
the X-axis of the M-set.  In this area, each elephant is aligned
with one Mandelbrot bud, and stands guard over its bud,
protecting the bud from whatever it is that attacks Mandelbrot
buds.

Today's fractal shows two complete though strangely distorted
elephants, and the front part of a fragmentary third elephant.
The elephants are nice, but we've all seen the East Valley
elephants many times, so to make things more interesting, I have
captured a view of the elephants from an entirely new direction
- -- the direction I call Oblate, which consists of the planes of
the Julibrot defined by the imag(c) and real(z) axes.  In
today's tilted picture the narrow diagonal line is oriented in
the imag(c) direction, with the positive direction toward the
upper right, while the perpendicular direction is real(z).

The elephants are obvious enough, but where are the buds they
are guarding?  The secret is that the one-bud-per-elephant
arrangement is true only in the Mandelbrot orientation.

Actually, one bud appears in today's picture, but it appears so
distorted that it would never be recognized.  Look carefully at
the straight-edged features extending diagonally from the lower
left to the upper right of today's image.  Pay special attention
to the hair-thin straight line.

This line is what I call a bridge.  Bridges appear all the time
in the four odd planes of the Julibrot figure.  This bridge is
actually the tip of a Mandelbrot valley sliced from the side,
and the diagonal empty space between the line and the main
diagonal straight-edge is the open inside of one of the buds
along the southern edge of East Valley.

The reason the buds appear as straight lines is that they are
actually four-dimensional hypercylinders in the 4-D Julibrot
figure -- a shape impossible to visualize with mere 3-D minds.
I find it most curious that these straight bridges continue
their way wherever they are unobscured regardless of the low-
iteration material surrounding them.  In fact, as can be seen in
several places in today's picture, the bridges actually attract
the low-iteration material to themselves, and increase their
mass by absorbing this material.

The parameter file of today's image takes 5-1/2 minutes to
render on a P200 machine.  The GIF image file downloads in less
than half that time from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was partly cloudy and quite cool for
July.  The temperature of 79F (26C) must have suited the fractal
cats perfectly, for they spent several hours outdoors, romping
in the yard.

The philosophy made little progress however.  But tomorrow is
another day, (it always is), and some surprise philosophy could
appear then.  Check in to see what happens.  Until next time,
take care, and don't lose your head in the fourth dimension.


Jim Muth
[e-mail]


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

The_Elephants_Walk { ; time=0:05:20.22 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=multirot.frm
  formulaname=multirot-XY-ZW function=ident/flip
  passes=1 center-mag=+0.3181278040886614/-0.013000620\
  65059610/275.3077/0.04602/0.659/80.235
  params=0/90/0/0/0.285/0 float=y maxiter=2500
  inside=0 logmap=14 periodicity=0
  colors=000YGU<3>`JXaKYbLZcM_dO`eRagUb<3>nfhpijrklsmm\
  qli<2>hd_daX`YUYVRTSN<3>FGABD78A4571<3>PPNUTSYXX<3>M\
  RRKQPHPOENMBML8RJ6TI7YH8cH9iHAmHDoG<4>RXEUTDXQD<3>gB\
  B<7>VOVTQYRS_QTbOVdNWf<3>F_sD`vC`v<3>A_vA_vA_v<6>Ccs\
  CcrCdr<2>DeqDfpGfkDfp<6>FimFjmFjl<3>Glk5hi<3>8Ta9P_9\
  O_AN`<3>CXdDZeDafEcgFehKciPajU_mZYl<2>kSl<3>iKliIlhG\
  lhElhClgBl<58>KfkKgkJhk<3>IjkHjnHkqGktGmwMmz<3>JmrIm\
  pHmnGmlImj<3>HmaHm_HmYHmW<4>HmXHmXHmXHmYHmYHmY<2>HmZ\
  HmZImZJm_<3>KmW
  }

frm:multirot-XY-ZW {; draws 6 planes and many rotations
;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J
;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J
a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994,
z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2,
c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3:
z=sqr(z)+c,
|z| <= 36  }

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


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

Date: Fri, 21 Jul 2000 22:35:25 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 22-07-00  (A Swarm of Leeches [5])

FOTD -- July 22, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

Do leeches come in swarms?  I don't know, but if a group of
giraffes is called a tower and a group of crows is called a
murder, why can't a group of leeches be called a swarm?  Yes, I
realize that a group of blood-sucking leeches is not the most
artistic fractal thing in the world, but it is different, and
when I saw today's curious image, I couldn't help but seeing a
midget surrounded by clinging, sucking leeches.  That's when
the name "A Swarm of Leeches" came to mind.

The iterated fractal formula that drew the image is another of
my whimsical ones:  Z^(-sqrt(2))+5Z^(sqrt(2))+C.  Like the
parameters I use with most of my M-Mix4 formula fractals, the
parameters of today's image were chosen basically at random.  I
simply turned off my brain and put my fingers on automatic.
(Not that it made much difference.)

The parent fractal of today's scene is a small Mandeloid that is
eroding at the edges.  I found today's scene in the northeast
corner of the main bay, deep in a very loosely wound spiral,
somewhat away from the area that is disintegrating.  Other parts
of this fractal appear quite promising; I may be looking further
into it in the near future.

At just under 10 minutes on a Pentium, the parameter file is a
slow one.  But relief for irritation may be found on Usenet at:

          <alt.binaries.pictures.fractals>

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

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

where the GIF image has been posted with all its data.

The fractal weather today was partly cloudy and quite pleasant,
with a temperature of 84F (29C) which made the cats happy.  A
sudden short but torrential shower at nightfall brought the day
to a cool and satisfying close.

The philosophy is once again stirring, so all you fans of the
fantastic philosophical pontifications won't have long to wait.

As for me, I'm going to take a few minutes to check other parts
of the fractal that contains today's image.  And then I'm going
to shut the place down, feed the cats, and call it a night.
Until tomorrow, take care, and leeches might be repulsive, but
every one of them is a sucker.


Jim Muth
[e-mail]


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

A_Swarm_of_Leeches { ; time=0:09:49.14 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.03234114002211268/+0.0758542959983652/\
  1.416931e+008/1/-25 params=1/-1.4142/5/1.4142/-0.83/0
  float=y maxiter=900 inside=0 logmap=106 periodicity=9
  colors=000KXoKXo<3>HTgGSeFRdKQbPP`<3>h9Sj0P<3>oLSpQS\
  rVT<2>uhVujVtkVrjSphQ<3>eXFcUC`RA<2>SJ0SI2SI3<10>DJG\
  BJHAJI<3>5JM<8>bVWfWXjXYmZZ<2>zb`<18>RKsPJtNIu<3>GEx\
  <3>KSbLWYMZSNbNNeI<2>cg`ihfpgn<12>amP`nN_nL<2>XpFWpD\
  UsD<12>eNBfLBgIB<2>jBBk8Bj5A<14>kGOkHPkIQ<3>kKT<3>op\
  PtyO<8>SrRPqSLpS<2>CnT9mT4nU<11>PjIRjHTiGViFWiEYhD<3\
  >dj9fk8gk8<9>jpHjqIjqJ<3>ksMdtcZtc<3>dvcfwcgwbixa<3>\
  ozSpzQozR<8>mzUGzd
  }

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, 22 Jul 2000 22:23:37 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD 23-07-00  (A Patch of Briars [5])

FOTD -- July 23, 2000 (Rating 5)

Fractal visionaries and enthusiasts:

Today's FOTD picture has a prickly feel about it.  It seems
rather thorny in overall appearance, all of which justifies the
name I gave it -- "A patch of Briars".  My first impulse when I
saw the scene was to name it something like "Barbed Wire", but
the briar patch name won out because of its more poetic sound.

The fractal formula that drew the image is surprisingly simple --
- -0.8(Z^1.5)-0.8(Z^(-0.5))+(1/C), which was calculated as usual
by the M-Mix4 formula.  The finished product was livened a bit
in a graphic program.

The parameter file runs in a bit under 3 minutes, leaving it up
to the viewer to decide whether the easiest way to see the FOTD
is to run the parameter file or to download the GIF image from:

          <alt.binaries.pictures.fractals>

or from:

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

The fractal weather today was perfect, though some showers
passed close by during the afternoon.  The partly cloudy skies
and temperature of 84F (29C) were just what the cats ordered.

There's good news for philosophy fans -- my muse is once again
speaking.  It will take a day or two to fine tune the
composition, but the topic is already determined.  Actually, it
was a letter that appeared earlier Saturday on the philofractal
list that supplied the inspiration.

For the moment my calendar clock tells me that it's Saturday
evening, and two of my favorite shows will soon be on TV -- 'Red
Dwarf' and 'Doctor Who'.  So I've got to hurry and shut down the
fractal shoppe to settle into my overstuffed chair for a late
evening of TV viewing.

Until tomorrow, take care, and for the life of your fractal,
don't turn off that computer.


Jim Muth
[e-mail]


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

A_Patch_of_Briars  { ; time=0:02:40.34 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.76022595650848300/+1.14392397091661000\
  /4403963/1/119.999 params=1/1.5/1/-0.5/-1.8/0 float=y
  maxiter=1400 inside=0 logmap=46 periodicity=10
  colors=000dXpbXnfYqkYtn_xqazwbzzdzzdzzazwYxsVsnQnkLk\
  <3>Y8RV2OR0JO0EL09I06N09<2>X0G_0Ib0Jf0Li0Ol4QsDRzJTz\
  QX<2>ziazQYzEXqJViGTaDQ<2>DDL0DJ0DV0Df0Dp04z00z20z9B\
  zIDzODzVDzaDz<2>pEzt6tz0px2kx8gxDbxI_xNVwRRwXNw_JwdE\
  wiBtn6ts2tx0tz0<2>sz0sw0sp0si0sb0qX0<3>q60q00gE0<2>E\
  q24z40z60z91zB<3>EzLIzOLzQOzTRzVOzR<2>JzNIzJGzI<2>Bz\
  B9z98z86z64z46z26z18z1<16>9z09z09z1<4>9z19z19z69z1<3\
  >9z29z29z29z29z29x2<3>9x29w29w49w49w49t4<3>9t49s49s4\
  9s49s69q6<3>9q69p69pD9pJ9pQBqX9pb9pi9pp9pp9pp9pn9pn9\
  pn9pl<3>9pk9pk9pi9pi9pg<3>9pf9pf9pd9pd9pd9pb<2>9pa9p\
  a9p_9p_9p_9pY<3>9pX9pX9pV9pV9pV9pT9pT9pR<3>9pQ9pQ9pO\
  <3>9pN9pN9pL9pL9pJ<3>9pI9pI9pG9pG9pG9pE9pE9pE
  }

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, 23 Jul 2000 19:52:08 +1000
From: "succubus" <[e-mail]>
Subject: Re: (fractint) colourmaps

Thank you for all the colourmaps & information. I will be trying them out
over the next month or so.
regards,
regina
- -----Original Message-----
From: Barry N Merenoff <[e-mail]>
To: INTERNET:[e-mail] <[e-mail]>
Date: Tuesday, 18 July 2000 6:16
Subject: (fractint) colourmaps


An IFS fractal is generated by a set of transformations represented by 3x2
matrices indicating


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

End of fractint-digest V1 #485
******************************