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fractint-digest        Sunday, October 18 1998        Volume 01 : Number 320




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

Date: Fri, 16 Oct 1998 20:43:01 -0600
From: "Tim Wegner" <[e-mail]>
Subject: (fractint) on topic and off topic

Jim Muth wrote:

> Before we click that "send" button, we should ask ourselves, "what does this
> message have to do with fractals or Fractint?"  If the answer is "nothing"
> then let's send it privately.

Well put. But while I agree completely, and don't fault Jim for posting this, let's
declare messages about what is on or off topic to be ... OFF topic. Please, no
more messages about the traffic being to high, why you are leaving the list, etc.

As administrator, I will occasionally comment on netiquette issues. In order to
cut the noise myself, I am sending friendly private messages to some of those
who are adding off topic bandwidth in an effort to make the list more useful to
everyone.

Quite a while ago I suggested folks "pay" for off topic messages by including
PARs in their off topic messages. That was one of my all time bad ideas! Much
better is for everyone to take up the challenge of posting only on topic
messages of interest to the folks here.

Thanks!

Tim Wegner
Fractint list administrator



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

Date: Fri, 16 Oct 1998 07:23:29 -0400
From: "Jason Hine" <[e-mail]>
Subject: Re: (fractint) Par file error

Ray Wrote:

> First, I can't remember what key, or keys, I hit that made the screen
>suddenly start generating(or revealing) a black and white image.

Perhaps, while a fractal was displayed on the screen, you pressed F6, F7 or F8?
These keys are hotlinked to three display modes that generate b/w images.

> Second - I have been putting a lot of pars in my par files, I have about
>200 in each of four, and guessed it was about time to start a new file.  So
>I did and I can't seem to get it to work.

I suggest posting *the first few lines* of your new par file, so folks here can
see what it looks like... it's tough to figure this one out just from the error
message you're receiving.

Business and Pleasure,
Jason Hine


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

Date: Fri, 16 Oct 1998 21:57:21 -0400
From: "Peter Gavin" <[e-mail]>
Subject: RE: (fractint) RE: [fractal-art] Immersive-visualization  Solutions

    // Kragen wrote:
    //
    // You could do something clever, like come up with 128 different
    // algorithms, at least one of which would compress the million-and-one
    // byte file down to a file of a million bytes or less.  Then you could
    // try all 128 algorithms, and just output the result of the
    // one that gave
    // you the smallest output.  But wait!  You have to prepend a
    // byte to the
    // beginning of the file to tell the decompressor *which algorithm* to
    // decompress with.  (Well, seven bits.)  It turns out that blows away
    // your compression.
    //

That's what the file extension is for :)


Pete

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Date: Fri, 16 Oct 1998 22:04:01 -0400
From: "Peter Gavin" <[e-mail]>
Subject: RE: (fractint) RE: [fractal-art] Immersive-visualization  Solutions

Dont forget that every CR is followed by an LF (for Wintel, anyways...)

Pete

    // Paul Derbyshire wrote:
    //
    // Text frequently compresses 5-10 times under common streaming
compression
    // techniques because of the unused eight bit (redundant,
    // there's 1/8 off the
    // data size already), the great bias toward only a few bytes (the
    // alphanumerics, then the space and punctuation, and none of
    // the unprintable
    // characters at all), and then the frequent occurrence of
    // words ranging from
    // "the" to fairly substantial ones. Every occurrence of space
    // "the" space
    // probably becomes a couple byte identifier, saving three
    // bytes for every
    // such occurrence...
    // Animations have the same sort of redundancy as regular image
    // data but in
    // three dimensions, adding to compressibility. MPG can get 100-fold
    // compression over the raw frame data.
    //
    // >That's why no
    // >one has replaced zip as the virtual Wintel standard,
    // because on average, you
    // >can't really do much better.
    //
    // The who standard?
    //
    // >    // btw, bzip2 has usually about 20% better compression
    // than zip, arj,
    // >    // gzip, etc.  I wonder if it uses the same methods as
    // RAR?  It's also
    // >    // very slow.
    // >    //
    //
    // Zip is probably preferred to bzip2 because of the speed. Speed/space
    // tradeoffs are very common in computing. Many many algorithms can be
    // mathematically proven to be either slow, space hogging, or
    // some compromise
    // between the two.
    //
    // >I'll take higher compression over speed any day.
    //
    // As with most such tradeoffs, alternate variants that choose
    // differently
    // usually arise, so that users have their choice of speed versus space.
    //
    //
    // --
    //    .*.  "Clouds are not spheres, mountains are not cones,
    // coastlines are not
    // -()  <  circles, and bark is not smooth, nor does lightning
    // travel in a
    //    `*'  straight line."
    // -------------------------------------------------
    //         -- B. Mandelbrot  |http://surf.to/pgd.net
    // _____________________ ____|________     Paul Derbyshire
    // [e-mail]
    // Programmer & Humanist|ICQ: 10423848|
    //
    // --------------------------------------------------------------
    // Thanks for using Fractint, The Fractals and Fractint Discussion List
    // Post Message:   [e-mail]
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    // Administrator:  [e-mail]
    // Unsubscribe:    [e-mail] "unsubscribe fractint"
    //


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

Date: Fri, 16 Oct 1998 19:13:12 -0700 (PDT)
From: Kivryn <[e-mail]>
Subject: (fractint) (fractal-art) cost of images

Sorry guys, I'm a little behind in my digests. :)

Kerry wrote on Oct 8:
>Just for reference, this is what I charge.  My
 prints are photographic, rather than inkjet.<

Hi Kerry,

What do you mean by "photographic?"  How do you get them printed this
way?

Debora
_________________________________________________________
DO YOU YAHOO!?
Get your free @yahoo.com address at http://mail.yahoo.com


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

Date: Fri, 16 Oct 1998 22:25:08 -0400
From: "Jason Hine" <[e-mail]>
Subject: (fractint) Dimensions here and there

Al-Anon wrote:

>Fractals,
>dependent as they are
>on complex numbers,
>exist primarily
>in two or four dimensions.
>Three spatial dimensions
>are almost useless
>for anything
>except reality.

It's been suggested
that time is the fourth dimension
of this universe's fractal.
Problem is, we think of it differently
than we do space.
Einstein was working on this,
as are the quantum physicists.
Could a Fractinteer
figure it out first?



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

Date: Fri, 16 Oct 1998 22:02:38 -0700
From: "Angela Wilczynski" <[e-mail]>
Subject: Re: (fractint) High iteration zooms

arrrrrrrrrrrrrrrrrrrrrggh!!!!!  i hate frames!!!!! i've seen exactly TWO websites
ever where they made sense to use. MUST i hear on this list about how to make the
dratted things too?????? most professional websites have abandoned them...thank
heavens.

Angela

yes...empty your cache.  even better....check your website from a remote puter, if
possible and using a different browser...AND in several resolutions. get the basics
right first.

Kragen wrote:
>
> On Wed, 14 Oct 1998, Paul N. Lee wrote:
> > Elaina Tillinghast wrote:
> > > You need to put the frames stuff inside the body tags.
> > > And body tags are required.
> >
> > This is incorrect!!  You should not include any <BODY> content within
> > the frame document; Netscape will ignore the frame tags and display just
> > the contents of a <BODY> tag it it comes first, or vice versa.  Use the
> > <FRAMESET> tag in lieu of a <BODY> tag in the frame document.
>
> Paul is, of course, right.  But frames suck anyway.
>
> Kragen
>

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

Date: Fri, 16 Oct 1998 22:28:27 -0700
From: "Angela Wilczynski" <[e-mail]>
Subject: Re: (fractint) Par file error

Ray Montgomery wrote:
>
>
>         Hi, anybody that can help!
>
>         Two problems - (maybe one, that causes the other).
>
>         First, I can't remember what key, or keys, I hit that made the screen
> suddenly start generating(or revealing) a black and white image.  This
> happened to me once before and somebody gave me the answer but it was so
> long ago I can't remember what it was.  I have poured over the F1 help
> screens, but can't find a solution in there.
>


Ray...

I answered this question before.....you inadvertantly hit one of the f-keys at the
top of your keyboard to produce the black and white.  hit f10 and you will go back to
color...or maybe it's f9. happens to me all the time.

Angela aka wizzle

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

Date: Sat, 17 Oct 1998 05:09:25 EDT
From: [e-mail]
Subject: Re: (fractint) Par file error

In a message dated 10/17/98 1:17:50 AM Eastern Daylight Time,
[e-mail] writes:

<< Ray Montgomery wrote:
 >
 >
 >         Hi, anybody that can help!
 >
 >         Two problems - (maybe one, that causes the other).
 >
 >         First, I can't remember what key, or keys, I hit that made the
screen
 > suddenly start generating(or revealing) a black and white image.  This
 > happened to me once before and somebody gave me the answer but it was so
 > long ago I can't remember what it was.  I have poured over the F1 help
 > screens, but can't find a solution in there. >>

Hi Ray,
The key that gives me a B+W image is F6. To return to "my" usual video mode,
[and the color scheme before hitting F6], I hit Shft+F6.
Steve


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

Date: Wed, 16 Sep 1998 07:18:15 -0400
From: douglas stewart <[e-mail]>
Subject: RE: (fractint) Dimensions here and there

- ------ =_NextPart_000_01BDE142.506AF580
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Al-Anon wrote:

>Fractals,
>dependent as they are
>on complex numbers,
>exist primarily
>in two or four dimensions.
>Three spatial dimensions=20
>are almost useless
>for anything
>except reality.

It's been suggested
that time is the fourth dimension
of this universe's fractal.
Problem is, we think of it differently
than we do space.
Einstein was working on this,
as are the quantum physicists.
Could a Fractinteer
figure it out first?


Time has also been sujested as the 3rd dim. for chaos in the population =
(lambda) equation. (For chaos you must have 3 dim.) But I have just =
proved that there is on chaos in the y=3DaL(1-y) eq. And as such time is =
not likely to be the fourth dimension.
Doug Stewart
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- ------ =_NextPart_000_01BDE142.506AF580--


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

Date: Sat, 17 Oct 1998 13:40:18 -0000
From: "Dean-Christian Strik" <[e-mail]>
Subject: Re: (fractint) Dimensions here and there

>Al-Anon wrote:


>Fractals,
>dependent as they are
>on complex numbers,
>exist primarily
>in two or four dimensions.
>Three spatial dimensions
>are almost useless
>for anything
>except reality.


We see... what experimental facts lead us to ascribe three dimensions to space. As a
consequence of these facts, it would be more convenient to attribute three dimensions to
it than four or two, but the term 'convenient' is perhaps not strong enough; a being which
had attributed two or four dimensions to space would be handicapped in a world like ours
in the struggle for existence. -- PoincarΘ.

- --

Dean-Christian Strik
   ICQ: 11760568
 [e-mail]
[e-mail]

Real computer scientists despise the idea of actual hardware. Hardware has limitations,
software doesnt. It's a real shame that Turing machines are so poor at I/O.





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

Date: Sat, 17 Oct 1998 09:21:37 -0400
From: JoWeber <[e-mail]>
Subject: (fractint) MotW3+Developer's pars

Hi All,
today I added the Mandel of the Week 3 to page 14.
MotW1 & 2 can be found on page 13, also all pars.
Also I added the pars of two artists of the =

Compuserve's Graphics Developers Forum to page 5a.
Thanks to Alex Dukay and Bob G.Dodson for giving me their
permission.
Cheers --Jo--

http://ourworld.compuserve.com/homepages/joweber

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

Date: Sat, 17 Oct 1998 10:38:00 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: (fractint) Curved hyperspace fractal slices

At 04:40 PM 10/16/98 -0600, Xylen wrote:

              <snip>
>With fractint we generate fractals that are projected on to a
>2-D plane. Does the appearance of a fractal changed if it is
>projected onto a sphere? I don't mean just warping a 2-D image
>into a sphere, but actually using spherical coordinates to
>calculate the orbits, and THEN projecting the 3-D image back
>onto a 2-D plane. Or is it really the same thing?  Sorry if
>this question is redundant, but I'm trying to lay the
>groundwork for understanding multi-dimensional fractals.

Actually many of the formulae in Fractint already do exactly
this thing when various functions are applied to Z and C.  The
par file and formula I have attached below slice a curved
section of the 4-D Julibrot -- a section that is tangent to
the M-set at the longitude of Seahorse Valley -- and project
it onto the flat 2-D plane of the screen.

The shapes of these curved slices can become quite complex, and
being curved in 4-D space are frequently impossible to visualize.


Jim Muth
[e-mail]


START FORMULA================================================

Test0622a       { ; Jim Muth
z=fn1(pixel)+sqr(p1),
c=fn2(pixel)+p2:
z=sqr(z)+c
|z| <16  }

END FORMULA==================================================

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

hyper-dimension    { ; draws fast
  reset=1960 type=formula formulafile=jim.frm
  formulaname=Test0622a function=cosxx/ident
  center-mag=0.144146/3.10862e-015/0.7186817
  params=0/0/-0.75/0 float=y maxiter=95 bailout=25
  inside=0 logmap=yes symmetry=none periodicity=10
  colors=000KDa<2>Z1g<6>tla<5>YF5<5>TmQ<6>qVD<6>us0<5>GW7\
  <2>tK4<3>k2A4nr<2>fho<2>zttlslZrd<2>WwSI0W<2>Ea3LZk`Ipo\
  2u<2>oPIoW5qK6s96JLuWzD2xS<3>SRohbaxnP<2>ndRK8IS5CZ36gB\
  EpJL<2>U9fXDN_H4qahcQaQFV<3>iOuRNs8NrUD_o4I5`B<3>2IsKTY\
  abDfDAm99s58<3>8IyQXxgjxJwDNsHQpKTmN<2>ia3<2>DQH8YY3en\
  <3>vL3hWFVfQdcNn`LhcTcf`<2>jLR<3>vYZ<2>usO<2>z_R<3>ZldD\
  AAe0RSILF_G<2>8Ob<2>2qt<3>d1I_KWWbiSuw<2>9yx<2>ZcL<2>ts\
  LZDEaZKWhEQq8Lz2<3>5D8CUWJisLaeNUSOMF<3>aK8JMLjK0xDF<3>\
  JfbwAL<3>tpeVY`6GX<3>l1i<3>vGrTOY0WE<3>cToODw<3>hm7<3>n\
  CD_`ELyFNhXPTm<3>7ma<2>GjJ
  }

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

START 19.6 PARAMETER-FORMULA FILE============================

hyper-dimension    { ; draws fast
  reset=1960 type=formula formulafile=jim.frm
  formulaname=Test0622a function=cosxx/ident
  center-mag=0.144146/3.10862e-015/0.7186817
  params=0/0/-0.75/0 float=y maxiter=95 bailout=25
  inside=0 logmap=yes symmetry=none periodicity=10
  colors=000KDa<2>Z1g<6>tla<5>YF5<5>TmQ<6>qVD<6>us0<5>GW7\
  <2>tK4<3>k2A4nr<2>fho<2>zttlslZrd<2>WwSI0W<2>Ea3LZk`Ipo\
  2u<2>oPIoW5qK6s96JLuWzD2xS<3>SRohbaxnP<2>ndRK8IS5CZ36gB\
  EpJL<2>U9fXDN_H4qahcQaQFV<3>iOuRNs8NrUD_o4I5`B<3>2IsKTY\
  abDfDAm99s58<3>8IyQXxgjxJwDNsHQpKTmN<2>ia3<2>DQH8YY3en\
  <3>vL3hWFVfQdcNn`LhcTcf`<2>jLR<3>vYZ<2>usO<2>z_R<3>ZldD\
  AAe0RSILF_G<2>8Ob<2>2qt<3>d1I_KWWbiSuw<2>9yx<2>ZcL<2>ts\
  LZDEaZKWhEQq8Lz2<3>5D8CUWJisLaeNUSOMF<3>aK8JMLjK0xDF<3>\
  JfbwAL<3>tpeVY`6GX<3>l1i<3>vGrTOY0WE<3>cToODw<3>hm7<3>n\
  CD_`ELyFNhXPTm<3>7ma<2>GjJ
  }

frm:Test0622a       { ; Jim Muth
z=fn1(pixel)+sqr(p1),
c=fn2(pixel)+p2:
z=sqr(z)+c
|z| <16  }

END 19.6 PARAMETER-FORMULA FILE==============================



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Date: Sat, 17 Oct 1998 11:39:35 -0400 (EDT)
From: [e-mail] (Kragen)
Subject: Re: (fractint) Dimensions here and there

On Fri, 16 Oct 1998, Jason Hine wrote:
> Al-Anon wrote:
> >Fractals,
> >dependent as they are
> >on complex numbers,
> >exist primarily
> >in two or four dimensions.
> >Three spatial dimensions
> >are almost useless
> >for anything
> >except reality.

Naw.  There are just as many fractals in three dimensions as there are
in two, or four.

> It's been suggested
> that time is the fourth dimension
> of this universe's fractal.
> Problem is, we think of it differently
> than we do space.
> Einstein was working on this,
> as are the quantum physicists.
> Could a Fractinteer
> figure it out first?

What's to figure out?

Kragen

- --
<[e-mail]>       Kragen Sitaker     <http://www.pobox.com/~kragen/>
A well designed system must take people into account.  . . .  It's hard to
build a system that provides strong authentication on top of systems that
can be penetrated by knowing someone's mother's maiden name.  -- Schneier


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Date: Sat, 17 Oct 1998 12:12:26 -0400 (EDT)
From: Jim Muth <[e-mail]>
Subject: Re: (fractint) Dimensions here and there

At 11:39 AM 10/17/98 -0400, you wrote:
>On Fri, 16 Oct 1998, Kragen wrote:

>> It's been suggested
>> that time is the fourth dimension
>> of this universe's fractal.
>> Problem is, we think of it differently
>> than we do space.
>> Einstein was working on this,
>> as are the quantum physicists.
>> Could a Fractinteer
>> figure it out first?
>
>What's to figure out?


The thing to figure out is why we, as human beings, perceive the
dimension of time differently than we perceive the three spatial
dimensions.  The Julibrot is an object of four spatial dimensions,
yet we must change one of these dimensions into time if we wish
to see the entire object.  When we do this, we see a three-
dimensional object changing in time.  But we also see the universe
as a three-dimensional object changing in time.  This similarity
leads one to suspect that a great mystery lies just beneath the
vision that we call the physical universe.

Jim Muth
[e-mail]


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Date: Sat, 17 Oct 1998 13:42:10 -0400 (EDT)
From: [e-mail] (Kragen)
Subject: Re: (fractint) Dimensions here and there

On Sat, 17 Oct 1998, Jim Muth wrote:
> At 11:39 AM 10/17/98 -0400, you wrote:
> >On Fri, 16 Oct 1998, Kragen wrote:
>
> >> It's been suggested
> >> that time is the fourth dimension
> >> of this universe's fractal.
> >> Problem is, we think of it differently
> >> than we do space.
> >> Einstein was working on this,
> >> as are the quantum physicists.
> >> Could a Fractinteer
> >> figure it out first?
> >
> >What's to figure out?
>
>
> The thing to figure out is why we, as human beings, perceive the
> dimension of time differently than we perceive the three spatial
> dimensions.

It *is* different; although which direction it is in is somewhat a
matter of your coordinate system, the laws of physics do not allow you
to interchange time with one of the spatial dimensions without
noticing.

>  The Julibrot is an object of four spatial dimensions,
> yet we must change one of these dimensions into time if we wish
> to see the entire object.  When we do this, we see a three-
> dimensional object changing in time.  But we also see the universe
> as a three-dimensional object changing in time.

That's the nature of human experience --- certainly a deep topic.
I'm not convinced I have anything to say on that subject that can
meaningfully be put into words.

> This similarity
> leads one to suspect that a great mystery lies just beneath the
> vision that we call the physical universe.

I'm sure there is.

Kragen

- --
<[e-mail]>       Kragen Sitaker     <http://www.pobox.com/~kragen/>
A well designed system must take people into account.  . . .  It's hard to
build a system that provides strong authentication on top of systems that
can be penetrated by knowing someone's mother's maiden name.  -- Schneier


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Date: Sat, 17 Oct 1998 18:49:17 +0200
From: gilbert Donchez <[e-mail]>
Subject: Re: (fractint) FOTW par file

Bonjour,

Among all these discusses nothing better than this gorgeous Sylvie's fractals
to find a new breath.
They are very nice.
Magnifiques images Sylvie,

Best wishes
    Gilbert







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Date: Sat, 17 Oct 1998 17:19:54 -0400
From: Sylvie Gallet <[e-mail]>
Subject: Re: (fractint) FOTW par file

Bonjour,

>> Among all these discusses nothing better than this gorgeous Sylvie's
>> fractals to find a new breath.
>> They are very nice.
>> Magnifiques images Sylvie,

  Thank you, Gilbert!  I'll post a new bunch of mandel zooms soon.

  Cheers,

        - Sylvie

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Date: Sat, 17 Oct 1998 21:50:31 -0400
From: "Amy G. Harris" <[e-mail]>
Subject: (fractint) color maps

Hi All,

I just started using fractint and am not a computer wiz.  Could someone
tell me how to save my color maps so that when I have adjusted a picture in
a deep zoom, I keep that map when I come back out.  I want to apply the
same color scheme to other parts of the fractal.

Hope I worded this right.

Thanks,
Amy
~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~***~~~

           *CHIRP*
          /                         Amy Harris
        o>                          Watertown, MA
       ( )                          [e-mail]
 ------/"------
      /
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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Date: Sat, 17 Oct 1998 22:29:13 -0400
From: JoWeber <[e-mail]>
Subject: (fractint) color maps

Hi Amy,

> Could someone tell me how to save my color maps.

That's very easy. When you have the image on your srceen type <c> and you=

are
in the color-cycling mode. Type <l> and you load a map - you should see
your directory -
type <s> to save the current colors. You will be asked for the name -
beware - if you use a name of a map that exists fractint will overwrite t=
he
old file. Hit <Esc> to leave the color cycling mode.
Cheers and happy fractaling from Germany --Jo--

http://ourworld.compuserve.com/homepages/JoWeber

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Date: Sat, 17 Oct 1998 23:18:27 -0700
From: kathy roth <[e-mail]>
Subject: (fractint) pars- stars and kaleidoscopes

Last month I was looking at Linda Allison's star
formula (included below) and I found that if you use
the initialization from it ( c=log(sqr(sqr(pixel))*pixel)*0.2:)
that it makes a star or kaleidoscope out of almost anything.
I spent a ridiculous amount of time doing this- here's a few,
and a couple of quat-celtics.


1star1              { ; 9-98 kathy roth
                     ; modified Wizzle map
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=starAstroid_Mset
  center-mag=3.665e-006/-8.65e-007/0.6426663
params=0.2001/1/8/15  float=y outside=summ
  colors=000<14>000uzz<13>MawRWv<11>335\
000000www<28>000z0z<7>c0Z`0V_0U<18>\
  000www<28>KKK0zz<28>0XXccc<28>000w\
ww<15>U0m<12>101www<28>000
  }

1star2              { ; 9-98 kathy roth
    colors=000KSQajQ<27>AG6zqCzq\
CspIzqC<19>qFApD9pD9<2>pD9wcB<7>qGApD9oC9<2>\
  l68f87`A7QE6wxz<24>nFPmDNouy<24>Lgu\
KguJfuHetHdrHcq<4>F`kE_iEZhEYfDYe<8>B\
  UVBUUBTTASR<38>4AA4CCC`VC`V<26>5GE8JD\
8ICCJ7<23>7C57B57B56A4EM8
  }

1star3              { ; 9-98 kathy roth
                     ; Paul Carlson's map
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=starFlexBalls_Mand function=exp
  center-mag=3.665e-006/-0.0303318/0.9824556
params=2/0/1.999/0  float=y outside=summ
  colors=000fOz<28>I0Kz0f<28>O08z\
88<28>O00zW0<28>c40zz0<28>aG00zR<28>0C40z\
  z<28>0CCGGz<28>00O000<13>000
  }

1star4              { ; 9-98 kathy roth
                     ; modified Sylvie Gallet map
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=starFlexBalls_Mand function=log
  center-mag=3.665e-006/-0.0303318/0.9824556
params=2/0/1.999/0  float=y outside=summ invert=1/0/0
  colors=ERZlkX<3>hdLfbHfbH<22>KH5\
NVO<12>DIEiUAhS7fQ4<12>F92wtt<15>`NOZKLY\
  KK<10>F99vuv<19>SNVQLTPKSOJQ<5>FCH\
llp<28>EEKmuu<18>DWXBUVBTU<7>6HI000<13\
  >000mrrmrr<5>AUU<19>144000kkkgnhfmfelf<2>UdW<23>DIE
  }

1star5              { ; 9-98 kathy roth
                     ; Sylvie Gallet map
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=stargravijul function=tan/conj/atanh
  center-mag=3.665e-006/-8.65e-007/0.6666663 params=0.1/1/1/0.1/-1/0
  float=y outside=summ decomp=256
  colors=akYakYYj_Uia<13>EP7DO5CM3\
AK0BJ0CI0<13>U30W53Y86_A9bEG<4>kPVmSYoU`\
  qXdsZguajwcm<15>K0K<6>3IC0LA0L9<5>0P\
30Q20Q21Q2<6>5P2<8>hj0<6>bg0ag0_f1<3\
  >Wd1Vd1Tc2Rb2<16>0P5<12>TF3WF3\
YE3`D2`D5<3>d9H<10>A00<9>`0C<26>zzm<4>ztPz\
  rKyoJxlH<6>lN4jJ2iI2<11>X95W96V86\
U77T67<13>zpN<4>elW
  }

1star6              { ; 9-98 kathy roth
                     ; Sylvie Gallet map
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=stargravijul function=tan/conj/atanh passes=b
  center-mag=3.665e-006/-8.65e-007/0.6666663
params=0.1/1/1/0.1/-1/0  float=y
fillcolor=22 outside=summ decomp=256
  colors=akYakYYj_Uia<13>EP7DO5CM3A\
K0BJ0CI0<13>U30W53Y86_A9bEG<4>kPVmSYoU`\
  qXdsZguajwcm<15>K0K<6>3IC0LA0L9<5>0P\
30Q20Q21Q2<6>5P2<8>hj0<6>bg0ag0_f1<3\
  >Wd1Vd1Tc2Rb2<16>0P5<12>TF3WF\
3YE3`D2`D5<3>d9H<10>A00<9>`0C<26>zzm<4>ztPz\
  rKyoJxlH<6>lN4jJ2iI2<11>X95W96V86U77T67<13>zpN<4>elW
  }

1star7              { ; 9-98 kathy roth
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=stargravijul function=acos/conj/sqr
  center-mag=0.0745911/0.02651/0.7228982/-1/270
params=1/0/0/0/6/0
  colors=0000EE<6>0AA09909908908A08B<8>012\
000000<29>600C00I00w00V00<4>z00<\
  21>zz0zn0<17>w0R00T<14>00w00z00z<63>y01z\
00z10z10<6>z50000<19>0YY0ZZ0YY<3\
  5>0EE
  }

1star8              { ; 9-98 kathy roth
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=stargravijul function=asin/tan/atanh
  center-mag=-4.366e-005/-1.082e-005/0.3257565
    params=1/0/0/0/6/0
  colors=00009J0GU<7>0JY5037050J\
YB08<6>P0JR0LT0NV0PX0P<2>b0Vd0Wf0Yh0Zj0`<2\
  >p0e<4>zUxyOuwIquCns6iq0g<2>k0b\
i0`g0_e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>30\
  4102010<4>0B10D10F10H20J20L20N2<2>0T4\
0V40X3<9>0p6<4>cze<3>0s8<5>0g60e60c\
  4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>00\
00101221532653863A84DA5EB5HB<2>7N\
  G8PI8RJ9TKAVNAXM<5>EhWFjYFlY\
Gn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BY\
  OAWMAUL9SK<3>7KE6IC5GB5DA<5>121000\
001023025047049<5>0BL0DN0DP<4>0KZ0L`0M\
  b0Nd0Of0Qh<3>0Up4Yr8atCgvG\
kxKqz<4>0Vq<13>0FQ0DO0DM<2>09G
  }

1star9              { ; 9-98 kathy roth
  reset=1960 type=formula formulafile=kstarm~1.frm
  formulaname=starAstroid_Mset
center-mag=-1.50447/-0.374069/12.85333
  params=0.1001/1/8/15 float=y outside=summ
  colors=000KRQajQ<27>AG6zqC<2>zqC\
zpCznC<17>qFApD9pD9<2>pD9wcB<7>qGApD9oC9\
  <2>l68f87`A7wxzwxz<24>nFPmDNmDNn\
ty<23>LguKguJfuHetHdrHcq<4>F`kE_iEZhEYfD\
  Ye<8>BUVBUUBTTASR<38>4AA4CCC`VC`V<26>5GE8J\
D8ICCJ7<23>7C57B57B56A4EM8
  }

quatcelt1          { ; 9-98 kathy roth
                     ; modified Sylvie Gallet palette
  reset=1960 type=formula formulafile=kcelti~3.frm
     formulaname=kquat_Celtic
center-mag=3.665e-006/-8.65e-007/0.7473837
  params=0.2/0.7/0.15/150/8/15 float=y outside=summ
  colors=000mrrmrr<5>AUU<21>011gnhfm\
felf<2>UdW<23>DIElkX<3>hdLfbHfbH<22>KH\
  5wrl<14>hS7fQ4dP4<11>F92wtt<15>`NOZKL\
YKK<10>F99vuv<19>SNVQLTPKSOJQ<5>FCH\
  llp<28>EEKmuu<18>DWXBUVBTU<7>6HI000<13>000
  }

quatcelt2          { ; 9-98 kathy roth
                     ; modified Wizzle palette
      colors=00097I<5>24A038000<13>000\
0wz<27>03C00A000<28>000fOz<28>K0F000<28>\
  000KKU<24>555444333222111<44>000l8M<12>R4G`Hm<21>A7K
  }


quatcelt4          { ; 9-98 kathy roth
  reset=1960 type=formula formulafile=kcelti~3.frm
      formulaname=kquat_Celtic
center-mag=3.665e-006/-8.65e-007/0.7473837
  params=0.3/0.61/0.15/150/8/30 float=y outside=summ
  colors=000z0W<28>M0Bmmm<27>222000\
0zz<28>0JJ0zW<28>0J9WWz<28>4LGzz0<28>JJ\
  0`zn<28>CMI000<13>000zW0<28>JJ0
  }


frm:051597-002   {; Linda Allison May 15, 1997
 z=0;
 c=log(sqr(sqr(pixel))*pixel)*0.2:
 z2=fn1(z)+c
 z=c*(1-z2*z2)/(1+z2*z2)
 |z|<=p1
}



frm:starAstroid_Mset  {;adapted from Paul Carlson by Kathy Roth
; Copyright (c) Paul W. Carlson, 1997
    ;****************************************************
    ; Always use floating point math and outside=summ.
    ;
    ; Parameters:
    ;   real(p1) = a factor controlling the width of the curves
    ;   imag(p1) = radius of the astroid
    ;   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=log(sqr(sqr(pixel))*pixel)*0.2
    z = 0
    bailout = 0
    iter = 0
    range_num = 0
    i = (0,1)
    r = imag(p1)
    ;****************************************************
    ; In the accompanying par file, astmset.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| < 10000.
    ; 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 width of the curves.
    ; These values will usually be in the range 0.001 to 0.1
    ;****************************************************
    width = real(p1)
    index_factor = (colors_in_range - 1) / width:
    ;****************************************************
    ; The equation being iterated.  Almost any equation
    ; that can be expressed 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
    ;****************************************************
    ; The orbit trap curve.  This example uses an "astroid"
    ; curve (which has absolutely nothing to do with huge
    ; rocks in outer space).  Any two-dimensional curve can
    ; be used which can be expressed in parametric form in
    ; terms of the angle from the origin.
    ;****************************************************
    ang = atan(imag(w) / real(w))
    astroid = r * (cos(ang)^3 + i * sin(ang)^3)
    ;****************************************************
    ; If the orbit point is within some distance of the curve,
    ; set z to the index into the colormap and set the bailout
    ; flag.  Note: the way we use the "distance" here has
    ; the effect of turning the curves inside-out in the image.
    ;****************************************************
    distance = abs(|w| - |astroid|)
    IF (distance < width && iter > 1)
        z = index_factor * distance + range_num * colors_in_range + 1
        bailout = 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
}

frm:stargravijul { ;kathy roth
;adapted from Mark Christenson and Linda Allison
   z = log(sqr(sqr(pixel))*pixel)*0.2:
   w = fn1(z)
   z = fn3(p1/fn2(w*w)) + p2
    |z| < p3
  }

frm:starFlexBalls_Mand {;adapted from Paul Carlson by Kathy Roth
; Copyright (c) Paul W. Carlson, 1998
    ; p1 = radius of center of ring (0.01 to 10)
    ; p2 = one half thickness of ring (0.01 to p1)
    ;
    c=log(sqr(sqr(pixel))*pixel)*0.2
    w = z = iter = bailout = 0
    d0 = p1 + p2
    d1 = 0.382683432365 * p1
    d2 = 0.923879532511 * p1
    dsqd = d0 * d0 + p1 * p1 - (d0 + d0) * d2
    :
     w2=fn1(w)+c
    w=c*(1-w2*w2)/(1+w2*w2)
    ;
    IF ((abs(cabs(w) - p1) < p2) && iter > 0)
 bailout = 1
 wr = real(w), wi = imag(w)
 awr = abs(wr), awi = abs(wi)
 IF (awr >= awi)
     dist = (awr - d2) * (awr - d2) + (awi - d1) * (awi - d1)
     adjust = 1
 ELSE
     dist = (awr - d1) * (awr - d1) + (awi - d2) * (awi - d2)
     adjust = 0
 ENDIF
 IF     (wr >= 0 && wi >= 0)
     range_num = 1 - adjust
 ELSEIF (wr < 0 && wi >= 0)
     range_num = 2 + adjust
 ELSEIF (wr < 0 && wi < 0)
     range_num = 5 - adjust
 ELSE
     range_num = 6 + adjust
 ENDIF
 ratio = sqrt(dist / dsqd)
 z = 29 * ratio + range_num * 30 + 1
    ENDIF
    iter = iter + 1
    z = z - iter
    bailout == 0 && |w| < 1000
}

frm:kquat_Celtic {;adapted from Paul Carlson by Kathy Roth
; Copyright (c) Paul W. Carlson, 1998
    ;****************************************************
    ; Always use floating point math and outside=summ.
    ;
    ; Parameters:
    ;   p1       = Julia set coordinates
    ;   real(p2) = a factor controlling the width of the stalks
    ;   imag(p2) = maximum iterations for stalks
    ;   real(p3) = number of color ranges
    ;   imag(p3) = number of colors in a color range
    ;****************************************************
    w = pixel
    c = p1
    z = 0
    bailout = 0
    iter = 0
    range_num = 0
    stalk_width = real(p2)
    max_iter = imag(p2)
    num_ranges = real(p3)
    colors_in_range = imag(p3)
    ratio = (colors_in_range - 1) / stalk_width:
    ;
    w = w * w * w * w, wr = real(w)
    w = w - wr + abs(wr) - c
    ;
    IF (abs(real(w)) <= abs(imag(w)))
        min_dist_to_axis = abs(real(w))
    ELSE
        min_dist_to_axis = abs(imag(w))
    ENDIF
    IF (min_dist_to_axis < stalk_width && iter > 1 && iter <= max_iter)
 z = ratio * min_dist_to_axis + range_num * colors_in_range + 1
 bailout = 1
    ENDIF
    range_num = range_num + 1
    IF (range_num == num_ranges)
        range_num = 0
    ENDIF
    iter = iter + 1
    z = z - iter
    bailout == 0  && |w| < 4
}






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End of fractint-digest V1 #320
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