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fractint-digest       Sunday, September 23 2001       Volume 01 : Number 600




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

Date: Tue, 18 Sep 2001 12:59:34 -0500
From: Programmer Dude <[e-mail]>
Subject: (fractint) Flag Bitmaps

Those who don't already have something like this, but who would like
an American Flag for their Windows Wallpaper can get them from my website
at:

     http://www.Sonnack.com/WillCall/Flag.html

Three sizes available.

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

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

Date: Tue, 18 Sep 2001 16:27:35 -0400
From: Ken MacLean <[e-mail]>
Subject: Re: (fractint) FOTD  18-09-01  (In a Remote Valley [4])

Jim --
Because I enjoy your philosophizing so much and am new to the fractint
list, would you give me the link to the "philofractal" version of FOTD?
I totally agree with your take on the reality of a transcendental
spiritual world.
- - Ken

[e-mail] wrote:

> FOTD -- September 18, 2001 (Rating 4)
>
> Fractal visionaries and enthusiasts:
>
> I'm feeling a bit more optimistic today, but still on the down
> side -- not so far down however that I couldn't find a fractal.
>
> Today's fractal offering, which is a scene in a remote valley of
> the Mandelbrot set, rates a less-than-average 4.  It's an
> unassuming image, showing a midget typical of many in the more
> remote valleys.
>
> I named the rather somber image "In a Remote Valley", a poetic
> name with just the slightest hint of darkness.  The image
> renders in 13 minutes from the parameter file.  It downloads
> much faster from:
>
>           <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
>
> or from:
>
>           <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>
>
> But before going for the download, give Paul and Scott a chance
> to render and post the GIF image.
>
> The fractal weather today was very pleasant, with sunny skies, a
> temperature of 81F 27C, and light winds.  The fractal cats, who
> enjoy such conditions, took their enjoyment on the porch and in
> the yard.
>
> On the philosophical side, some major changes in my
> philosophical outlook have taken place.  I'll go into details in
> future FOTD messages posted to the philofractal list, but in
> brief, I now consider myself a confirmed theist rather than an
> agnostic.  I am fully convinced that God is more than just a
> comforting idea that exists only in the human mind.  Also, due
> to recent personal experiences, I am now convinced that at least
> some of the things currently considered paranormal are in fact
> real, and involve a transcendental spiritual world, which is
> every bit as real as the physical.  Sharing these discoveries
> will become the major focus of the philofractal version of the
> FOTD.  For those who prefer their fractals without philosophy,
> the fractint version will remain philosophy free.
>
> Until next time, take care, and see you soon.
>
> Jim Muth
> [e-mail]
>
> START 20.0 PAR-FORMULA FILE================================
>
> In_a_Remote_Valley { ; time=0:13:29.49--SF5 on a P200
>   reset=2001 type=mandel passes=1
>   center-mag=-1.38126222287570800/+0.014180289196416\
>   83/8.29365e+008/1/132.499 params=0/0 float=y
>   maxiter=180000 inside=0 logmap=18140
>   colors=000004zmLzpOzsQzuTzxXzz_zzazzdzzgzzjzzmzzpz\
>   zszzvzzxxzuvzrszorzlozimzflzciz`gzYdzVczSazQ`zV_zY\
>   _zaYzdXyiXxlVupVssTrxSozSmzQjzPizPfzOdzOczSfzVgzYj\
>   z`lzdmzgpvjrrmumpvjuxfxzazzYzzTzzPzzLzzGzzCzz9_sp`\
>   yoazoczodzofzofzogzpizrjzslvumovoixpcymdujdrifoffj\
>   dggagd_g`YiYViVTjQQjOPjLTmPXpS_sXav_dycgzfjzjmzmpz\
>   rszuvzyyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzz\
>   uzzrzzozzlzzizzfzzczz`zzYzzVzzSzzPzzMzyJzxGzwDzuAz\
>   s7zq4zo1zm4zk6zi7zg9zeCzcDzaFz_GzYJzWLyUMxUOvUPuUS\
>   vUVvgYxd`x`cyXfySizPlzLozGrzDuzFsrFriFp`FoSFmJFlAG\
>   oDIpGJsJJuLLxOMyQOzTOzVPzYQz`SzcSzdTzgVzjXzmXzoVzl\
>   TzjSygQrfPjcOcaMX`L_cJafIdiGfjFimDlpCmrApu9sx7uy6x\
>   z4zz3zz1zz0zz0zzOvzjizzXzzSxxOosLgfGzgCzgAzoAzvAzz\
>   9uz9lz9dzD`zGYzJVzMSzPPzTLzXIz_FzaCzd9zg6zj6zm6zp6\
>   zs6zv6zpCzjGzfMz`QzVXzQ`zLfzGjzMpzSuzYzzczzizzozzl\
>   zzjpzgdzfTzdIziPzmXzrczuj
>   }
>
> END 20.0 PAR-FORMULA FILE==================================
>
> --------------------------------------------------------------
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------------------------------

Date: Tue, 18 Sep 2001 17:38:02 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) FOTD  18-09-01  (In a Remote Valley [4])

Chris J. Sonnack (Programmer Dude) wrote:
>
> [e-mail] wrote:
> >
> > Sharing these discoveries will become the major
> > focus of the philofractal version of the FOTD.
>
> I think I'll have to join that list just to see what
> you have to say.  Looking forward to it!
>

and Ken MacLean wrote:
>
> Because I enjoy your philosophizing so much and am
> new to the fractint list, would you give me the link
> to the "philofractal" version of FOTD?
>

The two web sites, mine and Scott's, have both versions of the
Discussions.  Scott uses Jim's sometimes shorter posting to the FractInt
List, and I have always used the longer version from the PhiloFractal
List:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
and
          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>


But for those that also wish to get into the "thick of things", here is
the information requested:

  To unsubscribe, e-mail: [e-mail]
  For additional commands, e-mail: [e-mail]

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

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

Date: Wed, 19 Sep 2001 09:28:04 +0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) My World 1st (?) in Fractals...

>From: "Morgan L. Owens" <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: Re: (fractint) My World 1st (?) in Fractals...
>Date: Tue, 18 Sep 2001 22:43:06 +1200
>
>At 12:42 17/09/2001 +0000, Andrwew Coppin wrote:
>
>>....The long and short of it is, if you delete the above formula and
>>substitute, say, "x=x*x-y*y+0.3; y+2*x*y+0.1;", then the osciliscope trace
>>magically morphs into the shape of a quadratic Julia set!!!
>
>And I read this after tinkering with AVS while carrying out my role as
>unofficial office DJ for the past few weeks.

You? A DJ? Oh well... Sorry I didn't post sooner! ;-)

>'Scuse me while I bang my forehead against the desk.

Ooo that's gotta hurt!

>>a parametric formula which will trace out the shape of the main Mandelbrot
>>"blob". (But not the infinity of buds attached to it of course! Just the
>>period 1 region.) Can this be done? I was thinking maybe something along
>>the lines of
>>  f(t)=(cos t, sin t)*g(t)
>>though I still have to work out what g(t) is... maybe?
>
>If you mean the cardioid, I guess f(t)=(cos t,sin t)*a*(1+cos(t)) would be
>a place to start.

Right... will try... (What the heck is $a$?)

>Morgan L. Owens
>"*bonk*bonk*bonk*"

The sweet sound of pain...

...

By the way... usually if the coordinates go offscreen AVS linearly
extrapolates the pixel colours... but if you turn "wrap" mode on, then
instead when the coordinates go off one edge they wrap round to the other
side... the result is a kalidescrope of Julias! 8-0 You really must try
this! 8-D

Thanks.
Andrew.


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

Date: Wed, 19 Sep 2001 22:08:31 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) My World 1st (?) in Fractals...

At 09:28 19/09/2001 +0000, Andrew Coppin wrote:
>>From: "Morgan L. Owens" <[e-mail]>
>>If you mean the cardioid, I guess f(t)=(cos t,sin t)*a*(1+cos(t)) would be
>>a place to start.
>
>Right... will try... (What the heck is $a$?)

Oh, yeah, sorry - that's just a generic scaling parameter.

Morgan L. Owens
"Not a very good DJ"


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

Date: Wed, 19 Sep 2001 12:33:50 +0000
From: "Rupert Millard" <[e-mail]>
Subject: Re: (fractint) My World 1st (?) in Fractals...

Hi,

>One final thing... can someone construct a formula for me? I want a formula
>of the form f(t) such that f(0) = 0.25, f(pi)=-0.75, and f(pi/2)=0.7i... in
>short, a parametric formula which will trace out the shape of the main
>Mandelbrot "blob". (But not the infinity of buds attached to it of course!
>Just the period 1 region.) Can this be done? I was thinking maybe something
>along the lines of
>  f(t)=(cos t, sin t)*g(t)
>though I still have to work out what g(t) is... maybe?

You can find the formula that you're looking for here:

http://home.earthlink.net/~mrob/pub/muency/r2a.html

Mu-Ency doesn't seem to be very well known and, although a lot of the links
are dead (as it is split across domains) it is a bible for any body who
likes the Mandelbrot Set. It's homepage is here:

http://home.earthlink.net/~mrob/pub/muency.html

Rupert

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

Date: Wed, 19 Sep 2001 11:18:14 EDT
From: [e-mail]
Subject: (fractint) FOTD  19-09-01  (Midget with Dewdrops [6])

FOTD -- September 19, 2001 (Rating 6)

Fractal visionaries and enthusiasts:

As my mood lightens, the fractals are coming easier.  Today's
fractal for example took me all of 5 minutes to find and all of
50 seconds to render.  The iterated formula subtracts Z^(-1.1)
from Z^(-0.9).  The tiny difference is then multiplied by a
factor of -548.998 before adding 1/C.  The real(p3) parameter is
extremely critical, the slightest change resulting in a totally
different image.

The midget at the center of the image is actually located on the
negative stem of the tiny M-set that forms the parent fractal.
(Since the stem points east, I guess it's a positive stem.)  The
sparkling features surrounding the midget remind me of dewdrops
on a spider web.  These dewdrops inspired the descriptive but
not very poetic name "Midget with Dewdrops".  The picture seems
just a bit above average as FOTD's go, and as a result has been
given a rating of 6.

An additional good point of the image is its speed.  The
parameter file renders in under one minute, leaving the trip to
Paul's web site at:

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

or to Scott's site at:

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

up to the discretion of the reader.  The benefit of the download
is the effort saved in copying this letter to your Fractint file
in text format and giving it a .par extension.  The drawback is
that the image will not be available at the two sites until Paul
and Scott have had a chance to render and post it.

The fractal weather today was partly cloudy with a temperature
of 83F 28C -- conditions the fractal cats found ideal.  The
dynamic duo showed their approval by sleeping side-by-side on
the porch chair from 11am until 4pm.

That's it for now.  Until next time, take care, and the best is
yet to come.


Jim Muth
[e-mail]


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

MidgetWithDewdrops { ; time=0:00:50.80--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.023424823411983/0/1.230816e+008/1/180
  params=1/-0.9/-1/-1.1/-549.998/800 float=y
  symmetry=xaxis maxiter=282 inside=0 logmap=27
  colors=00006C06C07D08E19F6AGBBHGCILDJQEGVGE_JBdK9i\
  L7hM8gJ8eG9dE9bBA`8A_6AlUSzzztompnLmn9lj8kf7kb7jZ6\
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  eMzfNzgOzMMzONzQNzRNzTNzUNzWNzXNzZOz`OzaOzcOzdOzfO\
  zhPzgOzgOzAFzDGzGHzDCzCDz
  }

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 Sep 2001 12:23:46 -0500
From: [e-mail]
Subject: Re: (fractint) FOTD  19-09-01  (Midget with Dewdrops [6])

<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
Fellow Fractaliers -
<p>Today's FOTD illustrates the unique - and practical - insights Jim and
his body of work represent (and offer additional support for the eventual
production of a CD-ROM):
<p>Has anyone out there <b>ever</b> seen in the literature - or anywhere
else - the information that "- 548.998" is critical to the appearance of
this particular fractal image?? I certainly haven't.
<p><i>"The iterated formula subtracts Z^(-1.1) from Z^(-0.9).  The
tiny difference is then multiplied by a factor of <b>-548.998</b> before
adding 1/C.  The real(p3) parameter is</i>
<br><i>extremely critical, <u>the slightest change resulting in a totally
different image</u>."</i>
<p>Several similar examples occurred in Jim's Commentaries accompanying
his FOTD's in August; things that might be dismissed by others as esoteric,
but whose ultimate mathematical implications are - I would argue - simply
not yet appreciated or understood.
<p>Finally, the fact that:
<p><i>"[it] took me all of 5 minutes to find and all of 50 seconds to render."</i>
<p>simply underlines the motherlode that remains to be mined.
<p>Long live the FOTD.
<p>D. Freed
<br>
<br>
<br>
<br>
<p>[e-mail] wrote:
<blockquote TYPE=CITE>FOTD -- September 19, 2001 (Rating 6)
<p>Fractal visionaries and enthusiasts:
<p>As my mood lightens, the fractals are coming easier.  Today's
<br>fractal for example took me all of 5 minutes to find and all of
<br>50 seconds to render.  The iterated formula subtracts Z^(-1.1)
<br>from Z^(-0.9).  The tiny difference is then multiplied by a
<br>factor of -548.998 before adding 1/C.  The real(p3) parameter
is
<br>extremely critical, the slightest change resulting in a totally
<br>different image.
<p>The midget at the center of the image is actually located on the
<br>negative stem of the tiny M-set that forms the parent fractal.
<br>(Since the stem points east, I guess it's a positive stem.)  The
<br>sparkling features surrounding the midget remind me of dewdrops
<br>on a spider web.  These dewdrops inspired the descriptive but
<br>not very poetic name "Midget with Dewdrops".  The picture seems
<br>just a bit above average as FOTD's go, and as a result has been
<br>given a rating of 6.
<p>An additional good point of the image is its speed.  The
<br>parameter file renders in under one minute, leaving the trip to
<br>Paul's web site at:
<p>          <<a href="http://home.att.net/~Paul.N.Lee/FotD/FotD.html">http://home.att.net/~Paul.N.Lee/FotD/FotD.html</a>>
<p>or to Scott's site at:
<p>          <<a href="http://sdboyd.dyndns.org/~sdboyd/fotd/index.html">http://sdboyd.dyndns.org/~sdboyd/fotd/index.html</a>>
<p>up to the discretion of the reader.  The benefit of the download
<br>is the effort saved in copying this letter to your Fractint file
<br>in text format and giving it a .par extension.  The drawback is
<br>that the image will not be available at the two sites until Paul
<br>and Scott have had a chance to render and post it.
<p>The fractal weather today was partly cloudy with a temperature
<br>of 83F 28C -- conditions the fractal cats found ideal.  The
<br>dynamic duo showed their approval by sleeping side-by-side on
<br>the porch chair from 11am until 4pm.
<p>That's it for now.  Until next time, take care, and the best is
<br>yet to come.
<p>Jim Muth
<br>[e-mail]
<p>START 20.0 PAR-FORMULA FILE================================
<p>MidgetWithDewdrops { ; time=0:00:50.80--SF5 on a P200
<br>  reset=2001 type=formula formulafile=allinone.frm
<br>  formulaname=MandelbrotMix4 function=recip passes=1
<br>  center-mag=+0.023424823411983/0/1.230816e+008/1/180
<br>  params=1/-0.9/-1/-1.1/-549.998/800 float=y
<br>  symmetry=xaxis maxiter=282 inside=0 logmap=27
<br>  colors=00006C06C07D08E19F6AGBBHGCILDJQEGVGE_JBdK9i\
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<br>  z`EzaFzbGzbHzcJzdKzeLzfMzj_zgNzS1zU3zV5zW6zX8zY9zZ\
<br>  Bz_Cz`EzaFzbHzcIzdKzeLzfNz0cz5azA_zFYzKWzPVzUTzZRz\
<br>  cPzhEzgFzgGzgHzgIzgJzgKzgLzgMzgNzgOzkpzjmzjjzigzid\
<br>  ziazhZzhWzgTzgQzCWz22z85zD8zIBzNDzTGzYJzbMzZoz_lz`\
<br>  izafzbczcazdZzeWzfTzgQztnzZFz_Gz`HzaIzbJzcKzcKzdLz\
<br>  eMzfNzgOzMMzONzQNzRNzTNzUNzWNzXNzZOz`OzaOzcOzdOzfO\
<br>  zhPzgOzgOzAFzDGzGHzDCzCDz
<br>  }
<p>frm:MandelbrotMix4 {; Jim Muth
<br>a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
<br>g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
<br>k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
<br>z=k*((a*(z^b))+(d*(z^f)))+c,
<br>|z| < l
<br>}
<p>END 20.0 PAR-FORMULA FILE==================================
<p>--------------------------------------------------------------
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fractint"</blockquote>
</html>


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

Date: Thu, 20 Sep 2001 12:07:48 +0200
From: Silberg Marcel R <[e-mail]>
Subject: (fractint) Old PAR file ?!?

I have some old .PAR files for a wery important fractal. The file looks like
this:

- -c-0.064066852367688,-0.100278551532034,4.094707520891365 -t250 -i246 -MG2
- -f123  -u60,120,30,100,255,200

Can anyone tell me how to generate this fractal again ?? Please !!

Marcel

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Date: Thu, 20 Sep 2001 11:04:15 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) FOTD  20-09-01  (Fractured Hysteria [5])

FOTD -- September 19, 2001 (Rating 5)

Fractal visionaries and enthusiasts:

Today's fractal lies at the very edge of resolution, so close in
fact that to make the parameter file draw the proper image, I
needed to insert a <mathtolerance=/1> command into it by hand.

The image was created by the simple formula 100(Z^6)+(Z^2)+C,
which was iterated up to 700 times for each pixel.  The parent
fractal resembles a 2-headed Mandeloid which is not quite
critical.  Today's scene is located on a filament of a larger
midget, which in turn is located on a still larger filament
extending from one of the two large eastern bays.

There is a hysterical air to the entire scene, which consists of
twisted and tortured filaments.  The name "Fractured Hysteria"
was inspired by this hysteric appearance.  The name is not a
sign that I am hysterical.

Though the parameter file renders in almost exactly 5 minutes on
a tired old Pentium 200mhz machine, the best and most convenient
way of viewing the image is to give Paul and Scott a chance to
render it and post it to their web sites at:

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

and at:

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

and to download the image from there.

The fractal weather today was a bit more humid, but still very
pleasant, with a temperature of 81F 27C.  Needing little to
satisfy them, the fractal cats lounged most of the day in the
porch chair, watching the birds fly by.  When one careless bird
wandered a bit too close, Tippy chattered and thrashed his tail
at it.  Of course, the chattering chased the bird off.  The
fractal cats seem to be losing their natural instincts for
catching their own food.

As for right now, I'm going to get at least a little work done.
Maybe I'll finish before sunset.  Until next time, take care,
and beware.


Jim Muth
[e-mail]


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

Fractured_Hysteria { ; time=0:05:00.02--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=+0.34466694538467100/+0.160880109814676\
  90/1.15108e+013/1/180 params=100/6/1/2/0/0 float=y
  maxiter=700 inside=0 logmap=96 mathtolerance=/1
  colors=000AAyAAzAAxAAuAArAAnBAiDBdJCXP7OT1D_04d00i\
  00s03x6LzFazO_zXYzdXukTssSrzQdoOT`LIOIFTJC_J9dL6jL\
  3pM0vM0zM0sQ0jT0cX0V_0Ma0FdCGYMIQXJLgLDrM7zc0zP0iC\
  DG0V00l01oCDpOQs_hzTYpOVmIQiCOf6La0G_0DV0AS9LXTV_S\
  QVQOQQLMfcQuuVzzYmYaS0f3_36X1zPApJJzDQzAYz9cz6jy4p\
  v3vi6oY9gMA`9DT0GM0IG0QC7_7Jg3Tp0dy0oz0gr0`a0TM0M6\
  0_70j73v96z97y3Dr0Ji0Pa0V_0OY3GXA9TJ1SS0Q_0LV3GSGC\
  PT7Mg3Ju0Gz0g`0z40zF0y90l40`00O00C00J00Q70YF0cM0jT\
  0r`0xg0sX0oL0j91f0Fi9QjJcmToocYVPGCA0006XIAzaCzcDz\
  dFzfGzgIyiJxjLvlMulLvlJylIzjGzjGzj7yl0um0po0jo7grT\
  gu`gjgg`ogQvgGzg6rgJggVYggOgsDgzGguJgjMgaOgSQgITg9\
  Xg0Yg0Vg0Tg9QgJPgSTgDYg0`g0ag0cg7dgJdgTfgcggoigyig\
  z`gySgoLgfJgcIg`GgYFgVDgSCgPAgMAjL7mQ4pV1s_0vc0yg0\
  zl0zpVz6QzFOzOlzDzz3zzDzzOzzYzzgzzrzzzyzsrzljzcczX\
  XzOPzGJz9FzCAzD6zG1zI0zL0zM0zO0zT0z_6zdCzjIzpOzvSz\
  zlzzmzzmzzmzzmzz_zzQzzzzz
  }

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 Sep 2001 11:09:24 EDT
From: [e-mail]
Subject: (fractint) FOTD  21-09-01  (The Fractal Blues [7])

FOTD -- September 21, 2001 (Rating 7)

Fractal visionaries and enthusiasts:

I seem to be pulling myself out of the blue mood I've been in
for the past week or so.  What better time to post a moody blue
fractal, and name it "The Fractal Blues"?  Things are very busy
today however, so this will have to be a short discussion.

The formula behind today's image, (Z^4)+2(Z^3)+(1/C), is a very
simple one, as are the formulae behind nearly all of my images.
All the excitement has been added by the <tdis> outside
coloring.  I keep the formulae simple because I am frugal.  I
enjoy doing a lot with a little.  And what better way to express
frugality than with a fractal -- a mathematical object that
finds infinity in a teacup?

I rated today's image at an above-average 7.  I kind of like the
feeling of depth it gives.

The parameter file renders in just under 4 minutes.  The file of
the image is available in GIF format on the W.W.W. at:

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

and:

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

But before visiting give Paul and Scott a chance to post it.

The fractal weather today (the 20th) was very strained, with a
temperature of 72F 22C and heavy clouds that let loose several
torrential but brief downpours.  The whole day climaxed at
10:30pm when a violent thunder-and-hail storm passed over,
frightening the fractal cats into hiding.

It's now time to get busy and do what needs to be done.  So
until next time, take care, and how little we know of the world
we live in.


Jim Muth
[e-mail]


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

The_Fractal_Blues  { ; time=0:03:52.17--SF5 on a p200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-2.53602432454074400/+0.172721338499729\
  20/6505050/1/-125 params=1/4/2/3/0/0 float=y
  maxiter=1200 inside=0 outside=tdis
  colors=0000iy0du0Xs0Qo0Lm0Fi29g42d40b60Z80X90S90QF\
  0NJ0JP0FS0BX68bB4eH0kP0oV0s`0ye0zm0zs0zy0zz0zs0si0\
  gZ0XP0LD894F00N00S00X00`20d60gB0kF2mL6qP8uSByZFzbH\
  zgLzkPzqQzuVzyXzzz0zz0zz0ww0mo6cgBUbJKVQAPZ0Hd09kz\
  UzzUzzUzzUzzUzzUzzUz0Dm0Hi0Ne0Qb0VZ0`V0dQ0gN0kJ0eF\
  0`D0V90Q80L40F20900600H00S00d00o00k00g20d80`D4XJ8S\
  PBQV6`J0i80q00z00z00z09u0Lo0Xg0eb0qX0zP0zJ0zD0ZNN0\
  Vz0Zz0bz6ezDizLkzSoz`szgwzoyzmszkmziguibogXieSddNZ\
  dHSbBN`6HZ0BZ08`44bB0dJ0eP0gX0gd0ik0kq0my0oz0oz0bz\
  0Qz4DzL2zb0zq0zm0zk0zg0ye0sb0k`2eX4ZV4SS9PVDLVHJXN\
  FXQBZV9Z`6Zd2`g0`m0bq0bu0bw0Xw2Sy8NyBJzHFzN9zQ6zX2\
  zb0zg0zk0zq0zw0zz0zu0zo0zi0yd0wZ0uS0sN4sH8qBBo6Fm0\
  Jk0Ni0Qg0Ve0Ze0bX0LN64FL0NQ0SV4Z`BedJkgQqmZwqezumz\
  zuzzzzzzzzzzzszzkzzdzzXzzPzzFzz8zz0zz0zz0zz0iqqemi\
  didbeX`dQZ`JVXDSV6QQ0PN0NL0PV0Qb0Si0Vq2Xy6Zz9`zD`z\
  HXzFSzDPzBLy9Hs8Fo80uz0oz
  }

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 Sep 2001 18:44:07 +0000
From: "Andrew Coppin" <[e-mail]>
Subject: Re: (fractint) FOTD 20-09-01 (Fractured Hysteria [5])

>From: Jim Muth <[e-mail]>
>Reply-To: [e-mail]
>To: [e-mail]
>Subject: (fractint) FOTD  20-09-01  (Fractured Hysteria [5])
>Date: Thu, 20 Sep 2001 11:04:15 -0400 (EDT)
>
>
>FOTD -- September 19, 2001 (Rating 5)
>
>Fractal visionaries and enthusiasts:
>
>There is a hysterical air to the entire scene, which consists of
>twisted and tortured filaments.  The name "Fractured Hysteria"
>was inspired by this hysteric appearance.  The name is not a
>sign that I am hysterical.

Actually, I disagree... You know those weird patterns of black dots they
show to mental patients to guage their mental state? I think the way people
name fractals has a lot to do with their inner subconcience. In short, Jim,
by naming your fractals you are potentially giving an aweful lot away! ;-)

Andrew.


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


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Date: Sat, 22 Sep 2001 13:33:50 +1200
From: "Morgan L. Owens" <[e-mail]>
Subject: Re: (fractint) FOTD  19-09-01  (Midget with Dewdrops [6])

At 12:23 19/09/2001 -0500, [e-mail] wrote:

>"The iterated formula subtracts Z^(-1.1) from Z^(-0.9).  The tiny
>difference is then multiplied by a factor of -548.998 before adding
>1/C.  The real(p3) parameter is
>extremely critical, the slightest change resulting in a totally different
>image."
>
>Several similar examples occurred in Jim's Commentaries accompanying his
>FOTD's in August; things that might be dismissed by others as esoteric,
>but whose ultimate mathematical implications are - I would argue - simply
>not yet appreciated or understood.

Well, the phrase "sensitive dependence on initial conditions" does spring
to mind.

Morgan L. Owens
"Multiplied by -548.998 up to 282 times per pixel."


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Date: Sat, 22 Sep 2001 10:59:52 EDT
From: [e-mail]
Subject: (fractint) FOTD  22-09-01  (Lots of Activity [7.5])

FOTD -- September 22, 2001 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's fractal is active.  It's not just sitting there like a
bump on a log; it's up there on the screen, doing things for the
whole world to see.  And it's not just the activity that sets
this particular image apart.  Something about it is different.
It is not normal.  (As though there were such a thing as a
'normal' fractal.)

Seeing so much activity from a single fractal, I had no trouble
finding the name "Lots of Activity".  Undecided as to whether a
rating of 7 or 8 best describes the fractal's worth, I settled
on a 7-1/2.

The formula 1.3(Z^2)+10(Z^(-0.01))+C created the image when it
was iterated with a maxiter of 1200.  Most of the activity was
created by setting the outside to <tdis> and the inside to
<fmod>.  With the normal flat equal-iteration bands and flat
black inside, today's image is boring indeed.

The parameter file renders in 10+ minutes on my tired old
Pentium running at 200mhz.  On newer faster machines it renders
in less time.  Those who would rather not run the attached
parameter file will find the GIF image posted to:

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

and to:

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

If the image is not yet posted, Paul and Scott have not had time
to render and post it.  Try again in an hour or so.

The fractal weather today was near perfect.  After last
evening's violent storm, today turned sunny and mild, with a
temperature of 81F 27C, which made the fractal cats quite happy
indeed.

That's it for today.  Until next time, take care, and I'll see
you soon.


Jim Muth
[e-mail]


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

Lots_of_Activity   { ; time=0:10:44.83--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-10.38329738516965000/+0.52767985499265\
  670/2532769/1/-177.5 params=1.3/2/10/-0.01/0/0
  float=y maxiter=1200 inside=fmod outside=tdis
  colors=000x00v00s06q0Dn0Km3PdKmWFpPAqI6tA1v30w00x0\
  0z00z00z00z00z00z00z00w00t30q60n90kA0j90g73d6Ac4I`\
  3PY1WW0cT0iS_qCzz0zkDxYVvKks4zLt4ImDHgLDaSCW_9Pf7K\
  m4Dt37z96aD6CI60O33S0IW0W`0kd0zi0zq7zxOzfMzOLn4KcA\
  LiFMmKOqOPvSRzWSz`TzdVzVMzMDsD4g40YA3SHAOMIISPDWW9\
  `TAcRCfODiLFkIHnFIqDKOLR0SY0PY0LV0HU0DS07R03O00N00\
  M32J97GFLOLSMSYKYcIcjHipFpvCvzAzz9zz7zz9zqAxfCvWDs\
  LFp9Hm0HqRWvpkzzzwzzvzztzzsxzqtzppznkzmgzkczj_ziVz\
  gRzfMzdKzcHzaFz`Dv_ApY9kW7gW6cV3YT1TS0PR0KP0FO0AO0\
  6YFAg`FqtKRzY0zkzzPwzLvxHtpDqg9p_6nR1kI0j90i00i60i\
  A0iF3iK7iOAiTFiYKiaMifRijTjkRjkPkmOkmMmmLmnKnnInpH\
  ppFppDqqCqqAqq9nnAkmAikAgjAdiAagC_fCYdCVaCS`CP_DOY\
  DLWDIVDFTDDSDMVIVWLc_Ok`StcVzdYzf`zgWziTzjRzkOzmLx\
  nIwpFvqCss9qt6pv3kq4gn6cj6_g7Vc9R`9MYAITCDRC9MD4KF\
  0FF0CH09H06D04C01A007006004101300400400C06I9FPIOVS\
  Va`cgjkmssgpvcmwV06d01n00
  }

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 Sep 2001 19:58:00 -0400
From: alex dukay <[e-mail]>
Subject: Re: (fractint) Old PAR file ?!?

At 12:07 PM 9/20/01 +0200, you wrote:
>I have some old .PAR files for a wery important fractal. The file looks like
>this:
>
>-c-0.064066852367688,-0.100278551532034,4.094707520891365 -t250 -i246 -MG2
>-f123  -u60,120,30,100,255,200
>
>Can anyone tell me how to generate this fractal again ?? Please !!
Hi Marcel,
You have an interesting file.  Usually a par file also refers to a formula
- - there doesn't seem to be any formula in your file.  Looking at your file
all I can figure out is that the first set of numbers seem to refer to the
coordinates ( you input those by pushing 'z' to call up the formula file
and then pushing F6 on your keyboard) t250 could be the rotational angle
i246, MG2 f123 u60 are beyond my analytical ability.  255 and 200 could be
referents for your screen from the selections you get by hitting
'y'...actually 255 and 200 could be for 'potential max colour' and 'slope'
.  The other numbers remain a mystery.  And as I stated: where is the formula.
Alex


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Date: Sat, 22 Sep 2001 20:24:44 -0500
From: "Paul N. Lee" <[e-mail]>
Subject: Re: (fractint) Old PAR file ?!?

Silberg Marcel R wrote:
>
> I have some old .PAR files for a wery
> important fractal.

And where did you get these important old PAR files??

What program were they saved from??

Why can you not use them in the same program that theyr were produced
with??

>
> The file looks like this:
>   -c-0.064066852367688,-0.100278551532034,4.094707520891365
>   -t250 -i246 -MG2 -f123  -u60,120,30,100,255,200

Which value do you want to use for the maximum iterations?
What color map would you prefer?

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

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Date: Sun, 23 Sep 2001 11:53:22 EDT
From: [e-mail]
Subject: (fractint) Missing FOTD

There is no FOTD for Sept 23.  I'm exhausted and taking a
one-day break.  The FOTD will return Sept 24.

Jim M.

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End of fractint-digest V1 #600
******************************