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fractint-digest        Monday, February 9 1998        Volume 01 : Number 104




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

Date: Sat, 7 Feb 1998 08:39:36 -0500 (EST)
From: [e-mail] (Michael Traynor)
Subject: [none]

[e-mail]
Subject: Re: (fractint) hring formulae
Cc:
Reply-To: [e-mail]

Paul writes:

>>Paul, in copying the hring frms and pars, I found lots of spurious a`a`a` s
>
>Sorry...that's not me, that's this bloody Freenet. Some system
>administrator in his infinite wisdom decided to modify the mailing system
>with some kind of funky encoding. I guess I'm going to subscribe to the
>list from another address or something, soon, because when I asked the
>admins here about it they just shrugged as if to say "What encoding?"...

In defence of my provider, which is the same Freenet Paul uses, I have had
no trouble sending out attached postscript files to a good number of folk
who have had no problems with any 'encoding' and these files are not
tolerant of extraneous material.  The Freenet operates on text alone and
if you want something encoded, better do it before you upload it to send
and it better be text.  Sorry to take up space, but I don't like to see
a pretty good, free service unjustly slagged.  Of course if I get this and
it is full of a' a' at my other addresses, above, I'll admit my error.


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Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
    Abraham Lincoln

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

Date: Sat, 7 Feb 1998 08:44:08 -0500 (EST)
From: [e-mail] (Michael Traynor)
Subject: Re: (fractint) gravijul

Bud,

Thanks for posting the frms and pars.  I too had wondered why it was
there 3 time.  If folk repost for formatting, perhaps they could say at
the outset that the substance is unchanged.  I had had not trouble with
any of the versions, but wondered if there was a substantive difference
among them.

>>Don't get me wrong, I like your formulas and PARs and the more the
>>merrier, but...
>>
>>Why on Earth did you post it 3 times?
>
>Sorry, I had some problems.  When I first posted it, I did it as an
>attachment.  Then I got a note that the group had decided against
>posting attachments, since some folks apparently can't decode
>them.  So I tried to send it using the "insert text in document" option,
>but Eudora sent it as an attachment anyway.  Consequently, I had
>to cut & paste, and send it yet *again*.  Apologies to all for the
>inconvenience.  :-(

- --
Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
    Abraham Lincoln

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Date: Sat, 07 Feb 1998 13:05:48 -0800
From: Peter Jakubowicz <[e-mail]>
Subject: Re: (fractint) newbie question

Kathy Roth wrote,

>I am completely new at this, but I would have thought that
>the Haussdorf or fractal dimension would have to exceed the
>topological dimension because I thought that those were a
>reflection of a 1-D line being "folded" into a 2-D plane and
>therefore having dimension somewhere between one and two,
>or a 2-D plane being "folded" into 3-D and being between 2
>and 3.  I know this is an over-simplification, but is this wrong?

I'm not sure what you mean by folded, but that is what I thought the
definition of a fractal was, too: until I read that while Mandelbrot's
original definition was that a fractal is a set whose H-B dimension was
greater than its topological dimension, he became dissatisfied with this,
because it did not emcompass a  number of sets that were obviously
fractals. I couldn't think of any myself.
And never being one to let my own ignorance stand in my way, I asked. I
gather Mandelbrot is not a subscriber to this list.


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Date: Sat, 07 Feb 1998 10:37:49 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) newbie question

Frenchmen with German names featuring food are prohibited from this
list....see rule 135(A)(2)(r)(iii) subparagraph (c)(2)


>And never being one to let my own ignorance stand in my way, I asked. I
>gather Mandelbrot is not a subscriber to this list.
>
>

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Date: Sat, 07 Feb 1998 13:30:59 -0500
From: davides <[e-mail]>
Subject: Re: (fractint) comments in formulas and pars

At 03:14 PM 2/4/98 -0600, you wrote:
>I don't know about consensus, but how about putting brief descriptions of
>the parameters in the first section (which appears on the z screen) and
>then longer descriptions and explanations of what goes on further down?
>Interested parties will scroll; folks just wanting to plug numbers in will
>get terse help on what numbers do what.
>
>Damien M. Jones

The above sounds about right to me, fwiw.

[e-mail]
Back up my hard drive?
How do I put it in reverse?

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Date: Sat, 07 Feb 1998 12:38:43 -0800
From: "Michael E. Williams" <[e-mail]>
Subject: Re: (fractint) color cycling commands

At 09:57 PM 2/6/98 -0800, you wrote:
>Welcome Michael,
>To control its speed press the number digits, '1' right above Q is slowest.
>Then
>you could press C and use the ',' or '.'   same as < or > to single step the
>color
>in color mode. Use ESC go get out of color mode.
>
>OR BUY A SLOWER COMPUTER LIKE A 386!    :-)
>Jay

    Thanks, but no cigar.  Even 1, coupled withe the slowest I can get with
the down arrow, is still dizzying.  I printed out the commands you
mentioned from the help file some time ago.  I simply can't slow this pup
down.


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Date: Sat, 07 Feb 1998 10:58:56 -0800
From: Wizzle <[e-mail]>
Subject: Re: (fractint) color cycling commands

Bummer.....maybe with the current crop of super fast processors and large
amounts of memory the ideas.....software wise....of "slow" and "fast" ought
to be re-thought by the fractint coding wizards. I have 48 megs of ram
myself ....but only a 100mhz processor....so the color cycling is
acceptable to me.  But it does sound like the steps between "fast" and
"slow" need to be adjusted.


At 12:38 PM 2/7/98 -0800, you wrote:
>At 09:57 PM 2/6/98 -0800, you wrote:
>>Welcome Michael,
>>To control its speed press the number digits, '1' right above Q is slowest.
>>Then
>>you could press C and use the ',' or '.'   same as < or > to single step the
>>color
>>in color mode. Use ESC go get out of color mode.
>>
>>OR BUY A SLOWER COMPUTER LIKE A 386!    :-)
>>Jay
>
>    Thanks, but no cigar.  Even 1, coupled withe the slowest I can get with
>the down arrow, is still dizzying.  I printed out the commands you
>mentioned from the help file some time ago.  I simply can't slow this pup
>down.
>
>
>-
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>
>

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

Date: Sat, 07 Feb 1998 12:55:36 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) New Stuff

New for this month are hearts and flowers fractals at


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


And check out these pars based on a formula by Damien Jones


subway             { ; wizzle 1998 based on a damien jones formula

                     ; burgold2.map

  reset=1960 type=formula formulafile=jan98-4.frm

  formulaname=dmj-nova-spi-dec-i center-mag=-1.26432/0.0111082/4.98992

  params=0/0/0/0/0/0 float=y maxiter=256 inside=0 decomp=256

  periodicity=0


colors=000W0E<<16>F07F07E07E07D16<<10>844753863<<33>ukTwmUwmU<<45>G66F55D55<<\


4>00A<<4>66F77H88I99KAAL<<27>aaxcczbby<<35>22M00K10F<<10>E17F17H18<<21>h1Ij1J\

  k1Jm0Kl0K<<14>X0E

  }


burgundy_dreams    { ; wizzle 1998 based on a damien jones formula

                     ; burgold3.map

  reset=1960 type=formula formulafile=jan98-4.frm

  formulaname=dmj-nova-spi-dec-i

  center-mag=-1.35886111398751000/-0.00081229354771754/54.27602/1/90

  params=0/0/0/0/0/0 float=y maxiter=256 inside=0 decomp=256

  periodicity=0


colors=000UjW<<7>aubcwccvc<<42>9C98A8998<<2>C38E17F17<<22>h1Ij1Jk1Jm0Kl0K<<31\


>G08F07F07<<13>844753863<<33>ukTwmUwmU<<45>G66F55D55<<4>00A1A8<<26>TiV

  }


The formula


<bigger>dmj-Nova-Spi-Dec-I { ; outside = decomp: angle of closest z[n] to
spiral at p1

    ; This is the angle relative to the origin.


    IF (real(p2) == 0)        ; Invalid value for tightness.

      p2 = 1 + flip(imag(p2))    ; Substitute a default value.

    ENDIF

    IF (real(p3) == 0)        ; Invalid value for color scale.

      p3 = 75 + flip(imag(p3))    ; Substitute a default value.

    ENDIF

    IF (imag(p3) == 0)        ; Invalid value for bailout.

      p3 = (0,0.0000001) + real(p3)    ; Substitute a default value.

    ENDIF

    closest = 1e+38            ; Closest approach so far.

    point = 0            ; Point of that closest approach.

    done = 2            ; Iteration counter.



    z = 1, c = pixel:        ; NovaM initialization.

    zsquared = sqr(z)

    zcubed = zsquared * z

    zold = z

    z = z-(zcubed-1)/(3*zsquared)+c    ; NovaM calculation.


    done = done + 1            ; Done one more iteration.

    z2 = z - p1            ; Offset to p1.

    d = 1/(cabs(z2)) * real(p2)    ; Figure distance (inverted).

    r = (0,1) ^ d            ; Compute rotation vector.

    z2 = z2 * r            ; Rotate.

    d = atan(abs(imag(z2)/real(z2))) ; Figure distance to spiral.

    IF (d << closest)        ; Closer than previous value.

      point = z            ; Save that point.

      closest = d            ; Save the closest approach.

    ENDIF

    IF ((|zold-z| << imag(p3) && done > imag(p2)) || done >= maxit) ; Out!

      z = point            ; Return closest point.

      done = -1            ; Set flag to force an exit.

    ENDIF



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

}

</bigger>


I hope this is the right formula......it was very hard to find the right
one in the lenghty list Damien provided.....<<<<sigh>> names like
damien001.frm, damien002.frm etc are much simpler for us twits.  If this
was not the right one, all of damien's great stuff is available at


http://www.fractalus.com/


for download.  I'm looking forward to his julia formulas <<<<tapping foot
impatiently>>. Not that I've even come CLOSE to exploring all of the
wonderful stuff he's provided so far........highly recommended!!!!


Angela aka wizzle


ps.  it's partly Damien's fault that I posted so many good pars last
month

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

Date: Sat, 7 Feb 1998 16:32:46 -0500 (EST)
From: Kevin Charles Stewart  <[e-mail]>
Subject: (fractint) artmatrix.com fractals to fractint

Last year i purchased two posters from the mall and i see that the
parameters for them our now on the web at www.artmatrix.com  I was
wondering if any one can transform them in to fractint parameters? is it
possible? the two ar called candy and crown of thorms and can be found at
http://www.artmatrix.com/programs.html#candy


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Date: Sat, 07 Feb 1998 17:34:51 -0600
From: Janet Preslar <[e-mail]>
Subject: (fractint) makemig question

Because I am using such an antiquated machine (486/33) I can't seem to generate
the nine sections of my fractal image with makemig.bat and do anything else at
the same time. I have tried letting it run for 24 hours, but that still isn't
enough time. Is there a pause key or some combination that will let me switch
back to Win95 without losing data or otherwise screwing up the generated images?

Janet
mailto:[e-mail]
http://www.ParkeNet.org/jp


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Date: Sat, 7 Feb 1998 14:04:39 -1000
From: "Shauna Jones" <[e-mail]>
Subject: Re: (fractint) makemig question

On  7 Feb 98 at 17:34, Janet Preslar wrote:

> Because I am using such an antiquated machine (486/33)
> I can't seem to generate the nine sections of my
> fractal image with makemig.bat and do anything else at
> the same time. I have tried letting it run for 24
> hours, but that still isn't enough time. Is there a
> pause key or some combination that will let me switch
> back to Win95 without losing data or otherwise
> screwing up the generated images?

Probably not ... I'd try booting to a DOS prompt and
running Fractint over night from there.

At least you got Fractint to run under W95. It won't on
my system! Fortunately, it still runs quite happily under
OS/2!

Another blast of bits from David
Visit our not-so-boring web page: http://www.aloha.net/~shauna
Visit the Hawaii Astronomical Society: http://www.hawastsoc.org
For the best Hawaii & Pacific Basin surf forecast: mailto:[e-mail]

Random Thought for this Nanosecond
Don't be buffaloed by experts.  They often possess more data than judgement. - C. Powell



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Date: Sat, 07 Feb 1998 17:54:28 -0800
From: Wizzle <[e-mail]>
Subject: (fractint) Rich Text Test

I didn't mean to send anything in Rich Text Format and was surprised that
my last message looked different.  I believe I'm the victim of yet another
Microsoft Plot. "They" were after me earlier today as well when the files I
dragged from one folder to another turned into names with all caps.....but
only visible as all caps when I uploaded to my isp........in windows95
explorer, the filenames look like they are all lower case.

If this test turns out rich text, what should I do to re=set Eudora?

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Date: Sat, 07 Feb 1998 20:12:14 -0600
From: "Damien M. Jones" <[e-mail]>
Subject: Re: (fractint) Rich Text Test

Angela,

 - If this test turns out rich text, what should I do to re=set Eudora?

Nothing, I think you found the relevant option.  (Tools, Options, Stylized
Text, Discard styles before sending messages)

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: Sat, 07 Feb 1998 21:27:26 -0500
From: Dick Amerman <[e-mail]>
Subject: Re: (fractint) list volume, pars, attachments, a solution?

Tim Wegner wrote:

> > Something else that could help:  if those that reply to postings would
> > eliminate the FractInt Signature and other parts of unreferenced email
> > when replying.
>
> I can shorten or eliminate the signature. I copied Jon Noring's
> style in fractal-art. It seemed like a good idea, but maybe it is
> just a bandwidth waster.
>
> Email me privately with opinions and suggestions about the signature.
>
> Tim
>
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 Maybe the information in the signature block is helpful to some.  But that
info does not need to be repeated at the end of each message.  I suggest  a
first-of-the-month automatic post that reminds everyone about the nature of
the list.  If you did that, I also suggest telling people where to find the
archives.

Dick Amerman


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Date: Sat, 07 Feb 1998 22:12:46 -0500
From: Dick Amerman <[e-mail]>
Subject: Re: (fractint) list volume, pars, attachments, a solution?

My apologies to everyone for that last post - I was trying to catch up on about
a weeks worth of this list and guess I was on autopilot.  I intended to send it
privately.

Dick Amerman


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Date: Sat, 07 Feb 1998 22:32:08 -0600
From: "Justin A. Kolodziej" <[e-mail]>
Subject: Re: (fractint) newbie question

Wizzle wrote:
>
> Frenchmen with German names featuring food are prohibited from this
> list....see rule 135(A)(2)(r)(iii) subparagraph (c)(2)
>

I believe Mandelbrot is Polish.  He only _lived_ in France to escape the
Nazis.  So, by rule 135(b)(2)(b)(x) subparagraph (c)(2), his presence is
_required_ on this list.  :-)

Justin K.
- --
Justin A. Kolodziej
Why pay for an OS when you can get a clearly superior one for free?
Justin Kolodziej is [e-mail]
Marquette University is www.mu.edu

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Date: Sun, 8 Feb 1998 00:15:51 -0500 (EST)
From: [e-mail] (Michael Traynor)
Subject: Re: (fractint) makemig question

Janet writes:

>Because I am using such an antiquated machine (486/33) I can't seem
>to generate
>the nine sections of my fractal image with makemig.bat and do anything else at
>the same time. I have tried letting it run for 24 hours, but that still isn't
>enough time. Is there a pause key or some combination that will let me switch
>back to Win95 without losing data or otherwise screwing up the generated images?

Janet,

I too have a 486/33 and what I do for slow multipart images is to run each of
the separate parts on their own.  You can do this from the pars for each of
the frmig images which fractint generates when you save the par with
multiple parts.

You do not need to run the whole thing in one go.  Once you have the
frmig's all generated then at a dos prompt give the commands that are at
the end of the makemig.bat file.

This way it does not matter if you finish in one fell swoop.


- --
Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
    Abraham Lincoln

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Date: Sun, 8 Feb 1998 00:27:46 -0500 (EST)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) color cycling commands

>Bummer.....maybe with the current crop of super fast processors and large
>amounts of memory the ideas.....software wise....of "slow" and "fast" ought
>to be re-thought by the fractint coding wizards.

I'd recommend coding it to base its speed on the realtime clock.

Just as is done with any good real-time (as opposed to discrete
turn-based) computer game; all of mine track locations and velocities and
accelerations and impulses relative to real time and although they update
every cycle of the loop, they add say velocity divided by elapsed time to
position, and so forth, so a faster computer doesn't cause a faster game,
but a smoother one.



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    .*.  Friendship, companionship, love, and having fun are the reasons for
 -()  <  life. All else; sex, money, fame, etc.; are just to get/express these.
    `*'  Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire [e-mail] [e-mail]

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Date: Sun, 8 Feb 1998 01:16:08 -0500 (EST)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) makemig question

>Because I am using such an antiquated machine (486/33) I can't seem to generate
>the nine sections of my fractal image with makemig.bat and do anything else at
>the same time. I have tried letting it run for 24 hours, but that still isn't
>enough time. Is there a pause key or some combination that will let me switch
>back to Win95 without losing data or otherwise screwing up the generated images?

I use the 1600x1200 disk video mode all the time. If you then alt-enter it
to a window and set it to run in background, it will calculate and nothing
will be screwed up. The massive CPU usage will cause some software,
notably Microsoft Equation Editor (the gods know why) and Quake, too
become very slow or behave strangely. (I once wracked my brains over why I
was getting a ping of 18000 in Quake, then traced it to Fractint!) If you
set the Fractint window to 'suspend in background' when using these apps,
it will 'pause' and use little or no CPU until you undo the 'suspend in
background' command. This can be done on a windowed DOS app simply by
pushing in or out the button with a graphic like two windows, with the
rear window having a star on it. When that button is in it is running,
when it is out it is suspended unless it has the focus.


- --
    .*.  Friendship, companionship, love, and having fun are the reasons for
 -()  <  life. All else; sex, money, fame, etc.; are just to get/express these.
    `*'  Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire [e-mail] [e-mail]

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Date: Sun, 8 Feb 1998 07:22:09 -0500
From: Les St Clair <[e-mail]>
Subject: Re: (fractint) color cycling commands

Michael E. Williams wrote

>>Even 1, coupled withe the slowest I can get with
the down arrow, is still dizzying.  I printed out the commands you
mentioned from the help file some time ago.  I simply can't slow this pup=

down. <<

I remember this problem being discussed on the Graphics Developers forum
some time ago. As I recall it had nothing to do with processor speed, but=

was linked to a problem with one type of graphics card (ATI?)

- - Les



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Date: Sun, 8 Feb 1998 12:28:47 -0500 (EST)
From: [e-mail] (Michael Traynor)
Subject: (fractint) Fractint Wish List

Here is a wish for the next fractint:

Have fractint check the first letter of the name of the frm it
needs when loading it, say "a" and then go first to the
corresponding orgform files, in this case, _a.frm and _a_dup.frm.

I suspect most of those maintaining a large collection of frms is
already using orgform and for those who are not, the delay to
check two files would be minimal.  It would save going through
a lot of frm files most of the time.

- --
Mike Traynor

People who like this sort of thing will find this the sort of thing they like.
    Abraham Lincoln

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Date: Sun, 8 Feb 1998 13:05:29 -0500
From: George Martin <[e-mail]>
Subject: (fractint) Fractint Wish List

Mike,

>
Have fractint check the first letter of the name of the frm it
needs when loading it, say "a" and then go first to the
corresponding orgform files, in this case, _a.frm and _a_dup.frm.
<

This is already implemented in the developer's version and will be
available in the next release. The idea is that you can create a separate
directory for orgform files and specify which one it is in your
sstools.ini.


George Martin

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Date: Sun, 8 Feb 1998 14:38:08 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: (fractint) program to find cardioid boundary points

Here's a little BASIC utility to compute cardioid boundary points
for fractals of the z^exponent+c variety.  You specify the exponent
(greater than 1), and an internal angle.  From that, the boundary
point is computed.  To do so, the program uses 2 relations:

f(z) = z^exponent+c = z

This means that z is a fixed point, which is a requirement of c
being on the cardioid.  The second requirment is that the fixed
point be neutrally stable.  That means that the derivative of f
with respect to z has a magnitude exactly equal to 1.  This insures
that c will be on the edge of the cardioid, and not in the interior.
So, we require that:

f'(z) = exponent*z^(exponent-1) = exp(i*angle)

where "angle" is the internal angle that is specified, and "i" is
the sqrt(-1).  Combining these 2 and solving for c (the desired point),
we get:

c = z - z^exponent, or
c = z * [1 - z^(exponent-1)].

This program uses the derivative condition to evalaute the two
factors in the last equation, and then multiplies them together.

The only tricky part is specifying the internal angle.  It is typically
expressed in terms of "turns", where 1 turn is 2pi radians, or a full
circle.  Using the fraction m/n turns will generate the point c which
is where the disk with Farey number m/n is tangent to the cardioid.
Thus, this point is both a fixed point and periodic with period n.
Since m/n is a rational number and 2*pi is irrational, the angle defined
by m/n*2*pi radians is an irrational number.  Using rational numbers for
the angle will result in non-periodic points.  One way to do this is to
change the value that is used for "pi".  Inputting 0 in the program will
force the routine to calculate pi to its internal precision (3.14159...)
and will thus give a periodic point.  Using 3, 3.25, or other rational
approximations to pi will give non-periodic points near the periodic point.
This can be useful if you like the general shape of the Julia set for
m/n = 1/3, but want a non-periodic orbit.  Then, specify m/n = 1/3, but
use a different value (say 3, or 3.125) for the pi factor.

When the iteration exponent is larger than 2, then the internal angle
goes beyond 2*pi.  In fact, it runs through (exponent-1)*2*pi radians.
To get to the angles beyond 2*pi, you can specify an angular offset.
This is given in terms of multiples of 2*pi, from 0 to (exponent-2).

If you know exactly what angle you want, you can bypass all this by
directly inputing it, in radians.

After the coordinates are calculated, you can opt to have them written
to a file.  If you so choose, 2 sets will be written:  one is in Fractint's
mandelbrot style, and is specified as a "center-mag=" triad, with the
magnification set to 1.  This set will have "_man" appended to the name
of the parameter set which was previously specified.  The other set is
written as a julia parameter, with "params=", and will be identified with
the "_jul" suffix.

The code is written in QuickBASIC and also works under QBASIC.  If you
choose to have the parameters written to a file, you should check the
file afterwards to make sure that no extra spaces are there to cause
problems.  And remember, it's worth exactly twice what you paid for it.


DEFDBL A-H, O-Z: CLS
'
'  routine to find boundary points on the main cardioid for
'  z^exponent+c fractals, & will optionally write coordinates
'  to a file.
'  copyright Kerry Mitchell 08 Feb 1998
'
PRINT "determines point on cardioid for z^exponent+c fractals"
PRINT
INPUT "name for this par"; name$

expenter:
INPUT "exponent"; zexp
IF zexp <= 1 THEN
  PRINT "  exponent must be greater than 1"
  GOTO expenter
  END IF

choice1:
PRINT "select point location method:"
PRINT "  1 to enter m/n turns"
PRINT "  2 to enter angle directly"
INPUT "  choice"; ichoice1
SELECT CASE ichoice1
CASE 1
  INPUT "m, n"; m, n
  INPUT "pi variable (0 to use internal pi)"; pifac
  IF pifac = 0 THEN pifac = 4 * ATN(1#)
  angle = m / n * 2 * pifac
  IF zexp > 2 THEN
    INPUT "angular offset (multiple of 2pi from 0 to exponent-2)"; pimult
    angle = angle + pimult * 8 * ATN(1#)
    END IF
CASE 2
  INPUT "angle"; angle
CASE ELSE
  GOTO choice1
END SELECT

angleonm1 = angle / (zexp - 1)
fac = 1 / (zexp ^ (1 / (zexp - 1)))
ax = fac * COS(angleonm1)
ay = fac * SIN(angleonm1)
bx = 1 - 1 / zexp * COS(angle)
by = -1 / zexp * SIN(angle)
cx = ax * bx - ay * by
cy = ax * by + ay * bx

PRINT "caridioid coordinates:"
PRINT USING "##.############/##.############"; cx; cy

PRINT
INPUT "write to parameter file (y/n)"; yn$
IF yn$ = "y" OR yn$ = "Y" THEN
  INPUT "file name (will be appended to, not overwritten)"; fil$
  OPEN fil$ FOR APPEND AS #1
  PRINT
  a$ = name$ + "_man {": PRINT #1, a$: PRINT a$
  PRINT #1, USING "center-mag=##.############/##.############/1 }"; cx; cy
  PRINT #1,
  PRINT USING "center-mag=##.############/##.############/1 }"; cx; cy
  PRINT
  a$ = name$ + "_jul {": PRINT #1, a$: PRINT a$
  PRINT #1, USING "params=##.############/##.############ }"; cx; cy
  PRINT #1,
  PRINT USING "params=##.############/##.############ }"; cx; cy
  PRINT
  PRINT "you may need to hand-edit this file to remove "
  PRINT "spurious spaces and such"
  CLOSE #1
  END IF

END

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]
- -------------------------------------------------------------------------------


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Date: Sun, 08 Feb 1998 14:15:35 -0800
From: kathy roth <[e-mail]>
Subject: (fractint) Julia sets, Orbits, Siegel discs

>....In this memo, I shall explore and
>explain some of the hard to understand topics found in such
>books as are found on the coffee tables of fractal junkies.

I've finally taken the time to really go through this, also
Jay Hill's letter of 1-13 and various posts by Paul
Derbyshire and Kerry Mitchell and others on finding
critical points.  (not something I could do at 2 AM- I have
a lucid interval about every 2 weeks.)  Thanks for taking
the time to write these.  It's sometimes hard to write at the
right level, in between the "oh wow"  of pop writing and the
too dense technical things- like,  I think I can follow this but
why?  It's also really nice to have the examples on Fractint
and to fool around with the orbits etc.  I think " Chaos and
Fractals" by Peitgen et al is at a good level.  Sometimes the
things that are over-simplified just become unintelligible.

9-cycle_bay        { ; julia set of center of 9-cycle bud
  reset=1960 type=formula formulafile=fractint.frm formulaname=FGZ-J
  passes=1 center-mag=-0.394934/-0.378271/8.115829
  params=0.3774294670846/0.1032663316582 float=y maxiter=647
  periodicity=0
  colors=000IOLIMF<7>ue1<16>8TC<3>DP8F\
O7HL7JI6<3>jA5<2>p77r68s58t58v49x3Az\
 1B<4>z4N<2>g5U<8>m8m<39>vp2wr0wr0<43\
>yy0zz0zy0<31>wI1wH1wG1vF1uF1<28>I8B\
  <9>FEg<5>hKS<15>Lfz<5>JRR
  }

9-cycle_swirl      { ; julia set at entrance to 9-cycle bud
  reset=1960 type=formula formulafile=fractint.frm formulaname=FGZ-J
  passes=1 center-mag=-0.394934/-0.378271/8.115829
  params=0.37291536/0.1059045226 float=y maxiter=647 periodicity=0
  colors=000IOLIMF<7>ue1<16>8TC<3>DP8F\
O7HL7JI6<3>jA5<2>p77r68s58t58v49x3Az\
 1B<4>z4N<2>g5U<8>m8m<39>vp2wr0wr0<43>\
yy0zz0zy0<31>wI1wH1wG1vF1uF1<28>I8B\
  <9>FEg<5>hKS<15>Lfz<5>JRR
  }

10-cycle_land      { ; julia set at center of 10-cycle bud
  reset=1960 type=formula formulafile=fractint.frm formulaname=FGZ-J
  passes=1 center-mag=0.195267/0.515354/3.819214
  params=0.36990595611/0.32864321608 float=y maxiter=647 periodicity=0
  colors=000IOLIMF<7>ue1<16>8TC<3>DP8\
FO7HL7JI6<3>jA5<2>p77r68s58t58v49x3Az\
 1B<4>z4N<2>g5U<8>m8m<39>vp2wr0wr0<43>\
yy0zz0zy0<31>wI1wH1wG1vF1uF1<28>I8B\
  <9>FEg<5>hKS<15>Lfz<5>JRR
  }

10-cycle_swirl     { ; julia set at entrance to 10-cycle bud
  reset=1960 type=formula formulafile=fractint.frm formulaname=FGZ-J
  passes=1 center-mag=0.195267/0.515354/3.819214
  params=0.3652037617/0.32675879396 float=y maxiter=647 periodicity=0
  colors=000IOLIMF<7>ue1<16>8TC<3>DP8FO\
7HL7JI6<3>jA5<2>p77r68s58t58v49x3Az\
 1B<4>z4N<2>g5U<8>m8m<39>vp2wr0wr0<\
43>yy0zz0zy0<31>wI1wH1wG1vF1uF1<28>I8B\
  <9>FEg<5>hKS<15>Lfz<5>JRR
  }




FGZ-M    { ; Jay Hill
   c = pixel,
   z=-sqrt(-c): ; approximate critical point
   z = z * z + c;
   z = (3 * z * z) / (z + 3) + c,
   |z| <= 36
  }

frm:FGZ-J   { ; Jay Hill
   ; p1 is the Julia set parameter
   z = pixel, c = p1:
   z = z * z + c;
   z = (3 * z * z) / (z + 3) + c,
   |z| <= 36
  }


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

Date: Mon, 9 Feb 1998 11:09:18 -0500 (EST)
From: [e-mail] (Paul Derbyshire)
Subject: Re: (fractint) Fractint Wish List

Here's mine:
  Palette editor commands: make 'n' negate the range between the selected
colors; make commands ($, %, ^?) negate red only, green only, or blue only
in the range; make commands to flip a range (reverse the order of the
colors) or to flip the red values in a range, or green, or blue (&, *, (?)
and make all of these plus !, @, # work with 't'n to do every nth color in
the range...


- --
    .*.  Friendship, companionship, love, and having fun are the reasons for
 -()  <  life. All else; sex, money, fame, etc.; are just to get/express these.
    `*'  Send any and all mail with attachments to the hotmail address please.
Paul Derbyshire [e-mail] [e-mail]

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End of fractint-digest V1 #104
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