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fractint-digest      Wednesday, December 31 1997      Volume 01 : Number 053




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

Date: Wed, 31 Dec 1997 08:12:11 -0800
From: "Jay Hill" <[e-mail]>
Subject: Re: (fractint) The weirdest bird off the planet

3D_Balls_Mset (ORIGIN) {; Copyright (c) Paul W. Carlson, 1997
    ;****************************************************
    ; Always use floating point math and outside=summ.
    ;
    ; Parameters:
    ;   real(p1) = a factor controlling the size of the balls
    ;   imag(p1) = number of iterations to skip
    ;   real(p2) = number of color ranges
    ;   imag(p2) = number of colors in each color range
    ;
    ; Note that the equation variable is w, not z.  Always
    ; initialize z to zero.
    ;****************************************************
    w = 0
    c = pixel
    z = 0
    bailout = 0
    iter = 0
    range_num = 0
    skip = imag(p1)
    ;****************************************************
    ; In the accompanying par file, mndballs.par,
    ; we have 8 color ranges with 30 colors in each range
    ; for a total of 240 colors. The first range starts at
    ; color 1.  Pixels will use color 0 when |w| >= 1000.
    ; Other values can be used here as long as the product
    ; of num_ranges times colors_in_range is less than 255.
    ; Color 0 is reserved for the background color and color
    ; 255 can be used for the inside color.
    ;****************************************************
    num_ranges = real(p2)
    colors_in_range = imag(p2)
    ;****************************************************
    ; Real(p1) controls the size of the balls.
    ; These values will usually be in the range 0.001 to 0.1
    ;****************************************************
    ball_size = real(p1)
    index_factor = (colors_in_range - 1) / ball_size:
    ;****************************************************
    ; The equation being iterated.  Almost any equation
    ; that can be express in terms of a complex variable
    ; and a complex constant will work with this method.
    ; This example uses the standard Mandelbrot set equation.
    ;****************************************************
    w = w * w + c
    ;****************************************************
    ; If the orbit point is within the specified distance of a circle,
    ; set z to the index into the colormap and set the bailout flag.
    ;****************************************************
    IF (iter > skip)
    wr = real(w), wi = imag(w)
    d = wr * wr + (wi - .5) * (wi - .5)
    IF (d < ball_size)
        bailout = 1
        delta = ball_size - d
    ELSEIF ((d = wr * wr + (wi + .5) * (wi + .5)) < ball_size)
        bailout = 1
        delta = ball_size - d
    ELSEIF ((d = (wr - .5) * (wr - .5) + wi * wi) < ball_size)
        bailout = 1
        delta = ball_size - d
    ELSEIF ((d = (wr + .5) * (wr + .5) + wi * wi) < ball_size)
        bailout = 1
        delta = ball_size - d
    ENDIF
    ENDIF
    IF (bailout)
    z = index_factor * delta + range_num * colors_in_range + 1
    ENDIF
    ;****************************************************
    ; Cycle through the range numbers (0 thru num_ranges - 1)
    ; With two color ranges, even iterations use color
    ; range 0, odd iterations use color range 1.
    ;****************************************************
    range_num = range_num + 1
    IF (range_num == num_ranges)
        range_num = 0
    ENDIF
    ;****************************************************
    ; Since we are using outside=summ, we have to subtract
    ; the number of iterations from z.
    ;****************************************************
    iter = iter + 1
    z = z - iter
    ;****************************************************
    ; Finally, we test for bailout
    ;****************************************************
    bailout == 0  && |w| < 1000
}

- ----------
> From: Jay Hill <[e-mail]>
> To: [e-mail]
> Subject: (fractint) The weirdest bird off the planet
> Date: Tuesday, December 30, 1997 11:24 AM
>
> Hi Fractintiers,
>
> Here is a sample using Paul Carlson's 3D Balls formula.
> I thought I'd just take a simple pan down to elephant row
> and see what the balls would look like in one of the spirals.
>
> Well...
>
> One should be cautious when using this formula, as this
> example shows. You can get some images that should
> not be viewed by humans.  I'm holding the copyright tightly
> on this one, since it should not be shown to non-fractal
> types***. They just won't understand and might call the
> guys in white coats.  ;-)
>
> *** For a discussion of fractals and personality types,
> see recent Fractal art list postings.
>
> Jay
>
>
> Weird-Bird         { ; (c) Jay Hill, 1997
>                      ;  *** No Use Of Any Kind Without Doctor's Permission
***
>                      ; Uses Paul Carlson's formula
>   reset=1960 type=formula formulafile=3dballsm.frm
>   formulaname=3d_balls_mset
>   center-mag=+0.27938299541093040/-0.00842228714524207/1500
>   params=0.0065/150/8/30 float=y maxiter=30000 inside=253 outside=summ
>   colors=000c40<28>zW0aG0<28>zz00C4<28>\
>   0zR0CC<28>0zz00O<25>EEuEEwFFxGGzI0K\
>   <28>fOzO08<28>z0fO00<28>z88000<13>000
>   savename=Weirdbrd
>   }
>
>
> -
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------------------------------

Date: Wed, 31 Dec 1997 10:32:49 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) High precision transcendental functions

In article <[e-mail]> ,
    [e-mail] (Paul Derbyshire)  writes:
> How big is it?

The postscript file, uncompressed, is 288K.  If I put it in a ZIP
file, its 100K or so.

> Also, not everyone has Linux and can handle tarred and gzipped files.
> Where can these be obtained as plain zip files?

<URL: ftp://ftp.cs.washington.edu/pub/ntemacs/latest/i386/utilities/win95/>
contains EXEs for Win95 and WinNT for: gunzip 1.2.4, gzip 1.2.4, and
tar 1.11.2.  Navigate two directories up from that URL and you'll be
pointed at gzipped tar files for emacs on 95.  If you like using emacs
as an editor, but you've got a win95/NT machine, then you'd probably
like that distribution.

If you are already familiar with how these tools work, then that should
be enough.  If not, then they are similar to zip (not winzip) in that
they are command-line oriented tools.  Since they are GNU tools, you
can give them '--help' as a command line argument to see what arguments
they take and their command-line syntax.

You can also get gzip directly from prep:
<URL: ftp://prep.ai.mit.edu/pub/gnu/gzip-1.2.4.msdos.exe> (gzip can
compress as well as uncompress; gunzip is just a convenience).

prep is the master source location for all GNU and Free Software
Foundation source distributions.  In fact, I have wondered why
fractint didn't use the gmp library for its arbitrary precision
support, but I can't complain about the feature :).
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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

Date: Wed, 31 Dec 1997 10:44:39 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Happy New Year!

In article <[e-mail]> ,
    [e-mail] (Paul Derbyshire)  writes:
> I don't think Fractint has a built-in or formula type called "3Dformula".

Repeat after me....

"quoted-printable, quoted-printable, quoted-printable...."

    "type=3Dformula" => "type=formula"
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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

Date: Wed, 31 Dec 1997 11:03:25 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Multiple part files

In article <[e-mail]> ,
    [e-mail] (Paul Derbyshire)  writes:
> Ah. Once again, someone has whet our collective appetite and tantalized us
> with tyhe promise of a great tool, and then left us hanging with no URL,
> no pointers even for more information.....

One need but ask...
an archie <URL: http://www.amdahl.com/internet/archieplex/form.html>
search for "netpbm" zip files turned up:
<URL: ftp://ftp.uni-mannheim.de/systems/windows/win32/winnt-local/>
Which contains "netpbm-e.zip" for the executables and "netpbm-s.zip"
for the source.

The definitive netpbm distribution is at
<URL: http://wuarchive.wustl.edu/graphics/graphics/packages/NetPBM/>,
but netpbm as a collective distribution hasn't been updated since 94.
There are various places around that have archived additional patches
and updates.  For instance, the png home page <URL:h
ttp://www.cdrom.com/pub/png/> has pngtopnm and pnmtopng utilities for
converting to and from pnm files to png files.
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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

Date: Wed, 31 Dec 1997 11:25:30 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) another 24-bit coloring idea

In article <[e-mail]> ,
    "Jay Hill" <[e-mail]>  writes:
> I have looked at Paul's lately, since he has comments. Still not much help.
> He uses z as a color index which is still unclear how that works.

I think the trick is to get the index you want into z, since that's
something you can assign to (and you can't assign to iter), and then
use the appropriate coloring method to get the z value used as the
index.  For instance, you can assign something to z and then use
outside=real to use the real component of z as the index.  Similarly,
you can use outside=imag outside=mult outside=summ outside=atan, etc.
For the inside you can use inside=zmag.
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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

Date: Wed, 31 Dec 1997 18:36:45 -0000
From: "Bagpuss" <[e-mail]>
Subject: (fractint) My new homepage!

This is a multi-part message in MIME format.

- ------=_NextPart_000_0012_01BD161B.0BEF4480
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hi all,
    Please come an d lok at my new webpages dedicated to my fractals, =
its still under construction so please forgive the speed (fairly slow).  =
I will speed it up by and by.
    Please let me know what you all think.

                Stephen



- ------=_NextPart_000_0012_01BD161B.0BEF4480
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 4.71.1712.3"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT color=3D#000000 size=3D2>Hi all,</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2>    Please come an d =
lok at my=20
new webpages dedicated to my fractals, its still under construction so =
please=20
forgive the speed (fairly slow).  I will speed it up by and=20
by.</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2>    Please let me =
know what you=20
all think.</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000=20
size=3D2>          &nbs=
p;    =20
Stephen</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV></BODY></HTML>

- ------=_NextPart_000_0012_01BD161B.0BEF4480--


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

Date: Wed, 31 Dec 1997 18:45:40 -0000
From: "Bagpuss" <[e-mail]>
Subject: (fractint) My new homepage!

This is a multi-part message in MIME format.

- ------=_NextPart_000_0008_01BD161C.4AC59500
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Oops,
    I dont know how that draft managed to get sent, but since it did... =
:0)

    The URL is http://homepages.iol.ie/~bagpuss

Please let me know what you think

        Stephen


- ------=_NextPart_000_0008_01BD161C.4AC59500
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 4.71.1712.3"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT color=3D#000000 size=3D2>Oops,</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2>    I dont know how =
that draft=20
managed to get sent, but since it did... :0)</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>    The URL is <A=20
href=3D"http://homepages.iol.ie/~bagpuss">http://homepages.iol.ie/~bagpus=
s</A></FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 size=3D2>Please let me know what you =
think</FONT></DIV>
<DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
<DIV><FONT color=3D#000000 =
size=3D2>       =20
Stephen</FONT></DIV>
<DIV> </DIV></BODY></HTML>

- ------=_NextPart_000_0008_01BD161C.4AC59500--


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

Date: Wed, 31 Dec 1997 11:19:44 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) A Wizzle-ish New Year

Happy New Year!!!!

After being up last night until 4 am trying to find some suitable fractals
for the New Year, I think I suceeeded.  They are posted at

http://wizzle.simplenet.com/fractals/seasonal/seasonal.htm

There are several new color maps that go along with the images
themselves....and a pair of rose colored glasses especially for Jay!!!!!
Grand Pooh Bahs definetly need fractalspecs!!!! (dontcha love double
entendres??)

Can we have a quicky contest to see who finds the first decent fractal
football???  Seems appropriate for the day ahead.....

Anyway...may you and yours have the best year ever

Angela aka wizzle

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

Date: Wed, 31 Dec 1997 11:41:52 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) My new homepage!

Stephen....


I got a tremendous amount of extraneous formatting junk with your posted
email...just out of curiosity...what email program do you use??


Angela


At 06:45 PM 12/31/97 -0000, you wrote:

>>>>

<excerpt><bigger>Oops,</bigger> <bigger>    I dont know how that draft
managed to get sent, but since it did... :0)</bigger>  <bigger>    The
URL is http://homepages.iol.ie/~bagpuss</bigger>  <bigger>Please let me
know what you think</bigger>  <bigger>         Stephen</bigger>

</excerpt>




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

Date: Wed, 31 Dec 1997 12:17:00 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) New Year's Wish List

I've been part of this forum for a very short time and have had great fun
both learning more about Fractint and meeting you all.....

Here is my Fractint wish list for 1998....

1.  Another fun contest
2.  Winfract that runs under NT with all the groovey DOS features (I'm
stuck with NT at w*rk)
3.  A better understanding of math so I can do some formulas or at least
appreciate the ones you all make
4.  Continued fun on the email list and maybe an IRC fractint chat forum
.....let me know if anyone is interested

<<hugs>> to all...and a wonderful new year

Angela aka wizzle


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

Date: Wed, 31 Dec 1997 10:37:56 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Binary decomp...256 decomp...*continuous decomp?*

Paul,

 - Continuous decomp: For every iteration, save a bool for whether it was
 - above or below the X-axis (i.e. imaginary part was positive or negative)
 - at that iteration. At the end, use the most recent bool thusly: set q =
 - 0.5 if it is true (was negative), 0 otherwise. For the second last bool,
 - add 0.25 if true. For the next, 0.125, Continue to desired precision.

Y'know, I tried exactly this, based on the description of it in Peitgen et.
al.'s _Chaos and Fractals: New Frontiers of Science_.  And do you know
what?  I couldn't get it to work for the M-set.

So I tried it with Julia sets.  And what I discovered is that it works as
long as the imaginary component of C is zero.  Then it works spectacularly
well.  But as soon as the imaginary component becomes non-zero (as it does
for most points in the M-set!) then it stops working and you start seeing
all kinds of weird hyperbolic-like errors.  Interesting, but not right!

If you have successfully made this work, even in custom code, I'd love to
see it.

Damien M. Jones   \\
[e-mail]  \\  http://www.icd.com/tsd/  (temporary sanity designs)
                    \\  http://www.fractalus.com/ (fractals are my hobby)


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

Date: Wed, 31 Dec 1997 15:23:28 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) another 24-bit coloring idea

Jay,

 - I have looked at Paul's lately, since he has comments. Still not much help.
 - He uses z as a color index which is still unclear how that works.  I
thought
 - z is a complex number which is used for periodicity checking, and in the
 - atan, summ, etc options.  If I use z for color index what are the rules.
   ^^^^^^^^^^^

This is the key.  If you set your outside coloring to "real", you can write
the formula so that, at some point, you stuff a new value into z.  I do it
on the last iteration, so I can still reap the benefits of periodicity
checking on z.  Other possibilities are to use decomp=256, and then put a
new value into z before bailing out; this is the easiest way to get an
"angle", rather than try to use atan() in the formula itself.

 - This seem not to be written up in Fractint docs or frm tutor.

No, this seems to be something of a secret. :)

 - Where was this posted?  I have over 1000 posts to this list, most on a
 - server I can't get to at the moment. Even if I could, I need a reference.

For the next few days, you should be able to retrieve my collection from
this URL:

    http://www.geocities.com/~fractalus/misc/dmj-pub.zip

I say for the next few days, because very soon that entire site will be
moved to fractalus.com.  The ZIP file contains a FRM with all the coloring
algorithms.  Most of these are my own variation on the orbit-trap type.
All are extensively commented.  There's also a PAR file with a "starter"
PAR for each formula, which will automatically set the outside coloring
options and force floating-point math.

 - > you get to use periodicity checking, solid guessing, or whatever.
 -
 - Really, all these with color index?????  Unclear!!

Meaning that all these still work, even when you're writing a FRM which
specifies a color index.  If you use w instead of z as your iterating
value, as some have done, you lose periodicity checking--and unless you
continually change z so it is non-periodic, forgetting to turn periodicity
checking off will make all points appear "periodic".  So I always use z as
my iterating value.

 - That is not a problem to me, I have made very nice effects with 16 colors
 - when I have control of the color index.

Yes, well, it depends on the effect. :)

 - Can you tell me what atan() does in Fractint?  In an equation frm, we can
 - say
 -
 - x = atan(z),
 -
 - z complex and x complex. Is this a true complex atan?

The definitions for how FractInt computes complex trig functions are listed
in the help, linked from the help for type "formula".

 - If so and we can set color index plus have periodicity checking, solid
 - guessing, or whatever, then I could make a true field line following image.

I would very much like to know how this is done, I've been trying for quite
some time.  I have some ideas for fractals which require access to field
line data, and I can't seem to make it work.

Damien M. Jones   \\
[e-mail]  \\  http://www.icd.com/tsd/  (temporary sanity designs)
                    \\  http://www.fractalus.com/ (fractals are my hobby)


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Date: Mon, 29 Dec 1997 16:59:50 -0500
From: "Blake Hyde" <[e-mail]>
Subject: (fractint) Hardware Questions

  Ok... i missed it for Christmas, but my birthday is coming up soon and I'm
hoping... Would it be better to get a Pentium 200 MHz motherboard and leave
myself with this old crappy monitor, or a Cyrix 166+ and get a 4mb vram
card/monitor?
  I feel limited in the fractal world. :( - BHyde


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Date: Wed, 31 Dec 1997 16:52:50 -0500
From: Les St Clair <[e-mail]>
Subject: Re: (fractint) Happy New Year!

Hi Richard,

>>Repeat after me....
>>"quoted-printable, quoted-printable, quoted-printable...."

I know, you've said it before!! But is there anything that can be done a.=
)
at my end (Compuserve) or  b.) at the Fractint list end to stop this
annoying phenomenon? I've checked all of the options in my e-mail softwar=
e
and I don't see anything that I can change to prevent this happening.

To be honest I would post a lot more stuff if I was happy that people cou=
ld
actually use the par files!

cheers, Les

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Date: Wed, 31 Dec 1997 16:52:46 -0500
From: Les St Clair <[e-mail]>
Subject: (fractint) A Wizzle-ish New Year

Angela aka wizzle wrote:

>>Can we have a quicky contest to see who finds the first decent fractal
>>football???  Seems appropriate for the day ahead.....

Try this football (actually, ours are round<g>) made from one of Sylvie
Gallet's formulas...

cheers, Les

G8_12_03           { ; "Goal!"                             t=3D  0:03:46.=
68
                     ; t=3Dcalc time [h:mm:ss.] using 486DX2-66 at 1024x7=
68
                     ; (c)1997 by Les St Clair [e-mail]=

  reset=3D1950 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dgallet-8-12
  center-mag=3D-4.44089e-016/4.44089e-016/0.6432659/1/2.5
  params=3D8/0.33/1/10 float=3Dy maxiter=3D255 inside=3D0 periodicity=3D0=

  colors=3D000KAA<5>311322<4>MDDQFGUHIXJK_LMbNO<2>kSTmTUpVWrWXsXYuYZwZ_<2=
>y`\
  az`az`az`az`a<2>x_`wZ_uYZ<2>pVWnUVkST<3>`LMYKKUII<4>C77855422000323757<=
3\
  >MHMPKPTNTWPW_S_<2>hZhj`jmbmodoqeq<3>xjxykyyly<3>zlzzlzylyxkxwjw<2>rfrp=
e\
  pncnlali_ifYfdWd<5>KGKHDHDAD979545111212<5>LJPOMSRPWURZXUa<2>c`jeblgcoi=
e\
  qkgs<3>pkxqlyqlzqlzrmzqlzqlz<3>nivmhtkgs<2>eblc`jaYg<2>URZRPWOMSLJP<3>8=
7\
  A546100100<6>LA0OC0RD0TE0WG0YH0<3>eL0fL0hM0iN0jN0kO0<5>lO0lO0kO0<3>gM0e=
L\
  0dK0bJ0`I0<4>PC0NB0KA0H80<3>520211000<7>OCCQDDTEEVFFYHH<2>cKKdKKfLLgMMi=
N\
  N<2>kOOlOOlOOlOO<2>lOOkOOkOOjNNhMMgMM<5>XGGVFFSEEQDDNBB
  }

FRM:Gallet-8-12 { ; Sylvie Gallet, [e-mail], Mar 1997=

              ; Requires periodicity =3D 0
              ; p2: real part =3D radius
              ;     imag part =3D refraction index
   h =3D cabs(pixel) , pinv =3D 1/p1
   bailout =3D 2*p1 , r =3D real(p2) , ir =3D imag(p2)
   IF (h >=3D r)
      z =3D pixel
   ELSE
      beta =3D asin(h/r) , alpha =3D asin(h/(r*ir))
      z =3D (h - sqrt(r*r - h*h) * tan(beta - alpha)) * pixel / h
   ENDIF
   center =3D round(p1*z) * pinv
   IF (cabs(z-center) < 0.45*pinv)
      z =3D cabs(center)
   ELSE
      z =3D cabs(center) + p1
   ENDIF
   :
   z =3D z + pinv
   z <=3D bailout
  ;SOURCE: gallet_8.frm
}

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Date: Wed, 31 Dec 1997 16:52:46 -0500
From: Les St Clair <[e-mail]>
Subject: (fractint) A Wizzle-ish New Year

Angela aka wizzle wrote:

>>Can we have a quicky contest to see who finds the first decent fractal
>>football???  Seems appropriate for the day ahead.....

Try this football (actually, ours are round<g>) made from one of Sylvie
Gallet's formulas...

cheers, Les

G8_12_03           { ; "Goal!"                             t=3D  0:03:46.=
68
                     ; t=3Dcalc time [h:mm:ss.] using 486DX2-66 at 1024x7=
68
                     ; (c)1997 by Les St Clair [e-mail]=

  reset=3D1950 type=3Dformula formulafile=3Dfractint.frm
  formulaname=3Dgallet-8-12
  center-mag=3D-4.44089e-016/4.44089e-016/0.6432659/1/2.5
  params=3D8/0.33/1/10 float=3Dy maxiter=3D255 inside=3D0 periodicity=3D0=

  colors=3D000KAA<5>311322<4>MDDQFGUHIXJK_LMbNO<2>kSTmTUpVWrWXsXYuYZwZ_<2=
>y`\
  az`az`az`az`a<2>x_`wZ_uYZ<2>pVWnUVkST<3>`LMYKKUII<4>C77855422000323757<=
3\
  >MHMPKPTNTWPW_S_<2>hZhj`jmbmodoqeq<3>xjxykyyly<3>zlzzlzylyxkxwjw<2>rfrp=
e\
  pncnlali_ifYfdWd<5>KGKHDHDAD979545111212<5>LJPOMSRPWURZXUa<2>c`jeblgcoi=
e\
  qkgs<3>pkxqlyqlzqlzrmzqlzqlz<3>nivmhtkgs<2>eblc`jaYg<2>URZRPWOMSLJP<3>8=
7\
  A546100100<6>LA0OC0RD0TE0WG0YH0<3>eL0fL0hM0iN0jN0kO0<5>lO0lO0kO0<3>gM0e=
L\
  0dK0bJ0`I0<4>PC0NB0KA0H80<3>520211000<7>OCCQDDTEEVFFYHH<2>cKKdKKfLLgMMi=
N\
  N<2>kOOlOOlOOlOO<2>lOOkOOkOOjNNhMMgMM<5>XGGVFFSEEQDDNBB
  }

FRM:Gallet-8-12 { ; Sylvie Gallet, [e-mail], Mar 1997=

              ; Requires periodicity =3D 0
              ; p2: real part =3D radius
              ;     imag part =3D refraction index
   h =3D cabs(pixel) , pinv =3D 1/p1
   bailout =3D 2*p1 , r =3D real(p2) , ir =3D imag(p2)
   IF (h >=3D r)
      z =3D pixel
   ELSE
      beta =3D asin(h/r) , alpha =3D asin(h/(r*ir))
      z =3D (h - sqrt(r*r - h*h) * tan(beta - alpha)) * pixel / h
   ENDIF
   center =3D round(p1*z) * pinv
   IF (cabs(z-center) < 0.45*pinv)
      z =3D cabs(center)
   ELSE
      z =3D cabs(center) + p1
   ENDIF
   :
   z =3D z + pinv
   z <=3D bailout
  ;SOURCE: gallet_8.frm
}

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Date: Wed, 31 Dec 1997 16:21:03 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Hardware Questions

Blake,

 -   Ok... i missed it for Christmas, but my birthday is coming up soon and
 - I'm hoping... Would it be better to get a Pentium 200 MHz motherboard
 - and leave myself with this old crappy monitor, or a Cyrix 166+ and get a
 - 4mb vram card/monitor?

Depends. :)  A 200MHz Pentium, with properly optimized code, will outrun
the Cyrix 6x86 PR166+ by a factor of... oh, about 9:1.  As in, nine times
faster at certain FPU-based FRACTAL calculations.  For everything else,
especially 95% of other apps, the Cyrix will perform comparably with a
166MHz Pentium.  So there's something to be said for having a 17" monitor
with a card that will crank out a 1600x1200 display mode.

The choice is yours, but personally I'd go for the speed.

Damien M. Jones   \\
[e-mail]  \\  http://www.icd.com/tsd/  (temporary sanity designs)
                    \\  http://www.fractalus.com/ (fractals are my hobby)


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Date: Wed, 31 Dec 1997 15:26:29 -0700
From: Rich Thomson <[e-mail]>
Subject: Re: (fractint) Happy New Year!

In article <[e-mail]> ,
    Les St Clair <[e-mail]>  writes:
> I know, you've said it before!! But is there anything that can be done a.=
> )
> at my end (Compuserve) or  b.) at the Fractint list end to stop this
> annoying phenomenon?

For your end, its best to ask compuserve technical support since its
their software you're using and their software that's putting
everything in printed-quotable.

I don't know of anything that can be done at the list end of things.
- --
  ``Between stimulus and response is the will to choose.''  -- Steven Covey
 =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
     3D Paint: The Power to Create in 3D;        Rich Thomson
     email me for more info                [e-mail]

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Date: Wed, 31 Dec 1997 14:41:10 -0800
From: "Jay Hill"<[e-mail]>
Subject: Re: (fractint) another 24-bit coloring idea

D M Jones wrote:

- -Jay,
- - - I have looked at Paul's lately, since he has comments. Still not much
help.
- - - He uses z as a color index which is still unclear how that works.  I
thought
- - - z is a complex number which is used for periodicity checking, and in
the
- - - atan, summ, etc options.  If I use z for color index what are the
rules.
   ^^^^^^^^^^^
- -This is the key.  If you set your outside coloring to "real", you can
write
- -the formula so that, at some point, you stuff a new value into z.  I do it
- -on the last iteration, so I can still reap the benefits of periodicity
- -checking on z.

Ahh... from your frm file....

     IF (|z| > imag(p3) || done >= maxit)   ; Point exceeds bailout /
inside.
       z = point              ; Return closest point.
       done = -1              ; Set flag to force an exit.
     ENDIF

     done >= 0           ; Continue if the flag is clear.

Just like old Fortran code with flags...  Been a while, since I
now use C++ and structured code.  :-)

- -Other possibilities are to use decomp=256, and then put a
- -new value into z before bailing out; this is the easiest way to get an
- -"angle", rather than try to use atan() in the formula itself.
I don't want the decomp angle, it is incorrect!  It does not use atan2.
It looks like I want imag(log(z)).

- - - This seem not to be written up in Fractint docs or frm tutor.
- -No, this seems to be something of a secret. :)
Thanks for the secret, I won't tell anyone.  ;-)

    http://www.geocities.com/~fractalus/misc/dmj-pub.zip
That is all I needed, thanks.


- - - > you get to use periodicity checking, solid guessing, or whatever.
- - -
- - - Really, all these with color index?????  Unclear!!
- -Meaning that all these still work, even when you're writing a FRM which
[...] So I always use z as my iterating value.
Thanks.

- -The definitions for how FractInt computes complex trig functions are
listed
- -in the help, linked from the help for type "formula".
Thanks.  Page 162 of Fractint docs.

- - - If so and we can set color index plus have periodicity checking, solid
- - - guessing, or whatever, then I could make a true field line following
image.
- -I would very much like to know how this is done, I've been trying for
quite
- -some time.  I have some ideas for fractals which require access to field
- -line data, and I can't seem to make it work.
Well that is what New Years Day is for - playing with Fractint.  We'll see
what I come up with.

- -Damien M. Jones

And to Paul D M Jones wrote:
= - Continuous decomp: For every iteration, save a bool for whether it was
= - above or below the X-axis (i.e. imaginary part was positive or
negative)
= - at that iteration. At the end, use the most recent bool thusly: set q =
= - 0.5 if it is true (was negative), 0 otherwise. For the second last
bool,
= - add 0.25 if true. For the next, 0.125, Continue to desired precision.
=Y'know, I tried exactly this, based on the description of it in Peitgen
et.
=al.'s _Chaos and Fractals: New Frontiers of Science_.  And do you know
=what?  I couldn't get it to work for the M-set.

Well it should not work.  The description is wrong or confusing, I'll
check for which tonight.  IMHO, what you do is iterate until you bailout.
Then color = white if imag(z)>0 else color = black.  Or the other way
around... :^).  Should be simple using the deep dark secrets in this post,
but I won't tell!   :-)

Jay



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Date: Wed, 31 Dec 1997 17:47:37 -0500
From: "Jason Hine" <[e-mail]>
Subject: Re: (fractint) Algorithm Reply

Paul replied,
>This was meant for [e-mail], who as it happens
has apparently

Paul and others...

    The address is indeed not [e-mail], it is,
instead, the same, with a 't' at the end.  I never post my
whole email to any list, to avoid spam and intelligent
young women from sending me unsolicited email.

Actually... it was a typo.  Sorry!  :)
Jason (who would rather be called by Jason than his email
anyway...) Hine



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

Date: Wed, 31 Dec 1997 18:08:15 -0500
From: "Jason Hine" <[e-mail]>
Subject: Re: (fractint) My new homepage!

This is a multi-part message in MIME format.

- ------=_NextPart_000_00A3_01BD1617.10566C00
Content-Type: text/plain;
    charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Stephen wrote::
   =20
    Hi all,
        Please come an d lok at my new webpages dedicated to my =
fractals, its still under construction so please forgive the speed =
(fairly slow).  I will speed it up by and by.
        Please let me know what you all think.
    =20
                    Stephen
    =20
     Very nice... the thumbnails took incredibly long to download, but I =
soon understood why - they're not really thumbnails as much as reduced =
views of the 640x480 images they are linked to!  Did you ask Paul =
Carlson's permission before using his par?  I don't mean to scold, for I =
am unsure of how all the copyright and policy stuff works myself...=20
   =20
    Good job on the page so far, keep it going!  Jason

- ------=_NextPart_000_00A3_01BD1617.10566C00
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><!DOCTYPE HTML PUBLIC "-//W3C//DTD W3 =
HTML//EN">
<META content=3D'"MSHTML 4.71.2016.0"' name=3DGENERATOR>
</HEAD>
<BODY bgColor=3D#ffffff>
<BLOCKQUOTE=20
style=3D"BORDER-LEFT: #000000 solid 2px; MARGIN-LEFT: 5px; PADDING-LEFT: =
5px">
    <DIV><FONT color=3D#000000 face=3DArial size=3D2>Stephen =
wrote::</FONT></DIV>
    <DIV> </DIV>
    <DIV><FONT color=3D#000000 size=3D2>Hi all,</FONT></DIV>
    <DIV><FONT color=3D#000000 size=3D2>    Please come =
an d lok at=20
    my new webpages dedicated to my fractals, its still under =
construction so=20
    please forgive the speed (fairly slow).  I will speed it up by =
and=20
    by.</FONT></DIV>
    <DIV><FONT color=3D#000000 size=3D2>    Please let me =
know what=20
    you all think.</FONT></DIV>
    <DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
    <DIV><FONT color=3D#000000=20
    =
size=3D2>          &nbs=
p;    =20
    Stephen</FONT></DIV>
    <DIV><FONT color=3D#000000 size=3D2></FONT> </DIV>
    <DIV><FONT color=3D#000000 size=3D2></FONT> <FONT =
color=3D#000000 face=3DArial=20
    size=3D2>Very nice... the thumbnails took incredibly long to =
download, but I=20
    soon understood why - they're not really thumbnails as much as =
reduced views=20
    of the 640x480 images they are linked to!  Did you ask Paul =
Carlson's=20
    permission before using his par?  I don't mean to scold, for I =
am=20
    unsure of how all the copyright and policy stuff works=20
    myself... </FONT></DIV>
    <DIV><FONT color=3D#000000 face=3DArial size=3D2></FONT> </DIV>
    <DIV><FONT color=3D#000000 face=3DArial size=3D2>Good job on the =
page so far, keep=20
    it going!  Jason</FONT></DIV></BLOCKQUOTE></BODY></HTML>

- ------=_NextPart_000_00A3_01BD1617.10566C00--


- -
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End of fractint-digest V1 #53
*****************************