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fractint-digest      Saturday, February 20 1999      Volume 01 : Number 371




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

Date: Fri, 19 Feb 1999 10:56:25 -0700
From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) Re:Metaphor

In article ,
    "narada" <[e-mail]>  writes:
> My understanding re colouring schemes generally, (Im sure there are
> exceptions) is that although the boundary at which the color changes is
> determined by the artist, each boundary represents a contour of some sort. I
> think of the fractal itself as a quasi 3 dimensional structure which is
> modeled by a 2 dimensional map on which the 'depth' is indicated by selected
> contours.

You can think of M-set (and many other -- but not all -- fractal
images) as visualizations of a 2D scalar field.  Does that help?
Probably not :-).
- --
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    ``Ain't it funny that they all fire the pistol,
      at the wrong end of the race?''--PDBT
[e-mail]    <http://www.eden.com/~thewho>

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

Date: Fri, 19 Feb 1999 10:59:52 -0700
From: Phil McRevis <[e-mail]>
Subject: Re: (fractint) re: "Select Video Mode"

In article ,
    "Leon Duych" <[e-mail]>  writes:
> For hi-res Fractint "Select Video Mode" choices all hell breaks loose.
> Since Number Nine technology-based choices are not represented in the
> "Select Video Mode" list, I'm wondering if someone out there has knowledge
> of any compatible setting(s).

Any SVGA compatible video mode should work.  Or did you want something
other than that?
- --
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Date: Fri, 19 Feb 1999 13:16:54 -0500
From: Sylvie Gallet <[e-mail]>
Subject: (fractint) re: "Select Video Mode"

Hi Leon,

>> For hi-res Fractint "Select Video Mode" choices all hell breaks loose.=

>> Since Number Nine technology-based choices are not represented in the
>> "Select Video Mode" list, I'm wondering if someone out there has
>> knowledge of any compatible setting(s).

  Download the following file from my web site:

   http://ourworld.compuserve.com/homepages/Sylvie_Gallet/vesa2cfg.zip

  Run vesa2cfg.exe, email me the file it will create (qpv.cfg) and I'll
write the entries for your Fractint.cfg file.

  Cheers,

        - Sylvie

- ----------------------------------------------------------------------
 E-mail:
   [e-mail]
 Visit my exhibit at Museum of Computer Art:
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 My Fractal Galleries:
   http://spanky.triumf.ca/www/fractint/sylvie/gallet.html
   http://ourworld.compuserve.com/homepages/Sylvie_Gallet/homepage.htm
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------------------------------

Date: Fri, 19 Feb 1999 09:03:14 -1000
From: dilvie <[e-mail]>
Subject: Re: (fractint) re: "Select Video Mode"

Sylvie Gallet wrote:
>
> Hi Leon,
>
> >> For hi-res Fractint "Select Video Mode" choices all hell breaks loose.
> >> Since Number Nine technology-based choices are not represented in the
> >> "Select Video Mode" list, I'm wondering if someone out there has
> >> knowledge of any compatible setting(s).
>
>   Download the following file from my web site:
>
>    http://ourworld.compuserve.com/homepages/Sylvie_Gallet/vesa2cfg.zip
>
>   Run vesa2cfg.exe, email me the file it will create (qpv.cfg) and I'll
> write the entries for your Fractint.cfg file.

Isn't there an output to disk option that lets you select any
resolution?

- - Eric

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

Date: Fri, 19 Feb 1999 11:07:52 -0800 (PST)
From: Ken Childress <[e-mail]>
Subject: Re: (fractint) re: "Select Video Mode"

Eric,

> > Hi Leon,
> >
> > >> For hi-res Fractint "Select Video Mode" choices all hell breaks loose.
> > >> Since Number Nine technology-based choices are not represented in the
> > >> "Select Video Mode" list, I'm wondering if someone out there has
> > >> knowledge of any compatible setting(s).
> >
> >   Download the following file from my web site:
> >
> >    http://ourworld.compuserve.com/homepages/Sylvie_Gallet/vesa2cfg.zip
> >
> >   Run vesa2cfg.exe, email me the file it will create (qpv.cfg) and I'll
> > write the entries for your Fractint.cfg file.
>
> Isn't there an output to disk option that lets you select any
> resolution?

Yes, but that doesn't let you view the image on your monitor at a high
resolution.


Ken...






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

Date: Fri, 19 Feb 1999 11:10:22 -0800
From: "Leon Duych" <[e-mail]>
Subject: Re: (fractint) re: "Select Video Mode"

Eric and Sylvie,

First Sylvie:
Thank you very much for your kind offer. I'll get right on it!!!

Now for Eric:
If you say so...
I am a first-time user of Fractint with little (translation: NO) experience.
If you could spell out what you mean, I would be much obliged.

Leon


- -----Original Message-----
From: dilvie <[e-mail]>
To: [e-mail] <[e-mail]>
Date: Friday, February 19, 1999 10:57 AM
Subject: Re: (fractint) re: "Select Video Mode"


>
>
>Sylvie Gallet wrote:
>>
>> Hi Leon,
>>
>> >> For hi-res Fractint "Select Video Mode" choices all hell breaks loose.
>> >> Since Number Nine technology-based choices are not represented in the
>> >> "Select Video Mode" list, I'm wondering if someone out there has
>> >> knowledge of any compatible setting(s).
>>
>>   Download the following file from my web site:
>>
>>    http://ourworld.compuserve.com/homepages/Sylvie_Gallet/vesa2cfg.zip
>>
>>   Run vesa2cfg.exe, email me the file it will create (qpv.cfg) and I'll
>> write the entries for your Fractint.cfg file.
>
>Isn't there an output to disk option that lets you select any
>resolution?
>
>- Eric
>
>--------------------------------------------------------------
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------------------------------

Date: Fri, 19 Feb 1999 10:21:14 -1000
From: dilvie <[e-mail]>
Subject: Re: (fractint) re: "Select Video Mode"

Leon Duych wrote:
>
> Eric and Sylvie,
>
> First Sylvie:
> Thank you very much for your kind offer. I'll get right on it!!!
>
> Now for Eric:
> If you say so...
> I am a first-time user of Fractint with little (translation: NO) experience.
> If you could spell out what you mean, I would be much obliged.

It's possible to explore your fractals in a lower resolution than you
need, and then output to disk at whatever resolution you require (via
the disk/ram video options), where you can view and edit in another
program (such as photoshop or psp).

- - Eric

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

Date: Fri, 19 Feb 1999 14:03:58 -0800
From: Ray Montgomery <[e-mail]>
Subject: (fractint) Re: Metaphor

    Damascena,

    No such thing as 'soppy'.  What you say is honest and open and forthright.
That is 'good'.

                    Ray


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

Date: Fri, 19 Feb 1999 16:53:59 -0600
From: "Nature Leseul" <[e-mail]>
Subject: Re: (fractint) Fractint- Metaphor

<<>   _Chaos_ (I don't know the author offhand; I'll look it up if someone
wants
> to know) mentions an instance where the atoms in a substance on the
> threshold between solid and liquid formed a perfect M-set. :-P
>

_Chaos_ is by James Gleick. It's a nice book, although I don't think very
much in it would be new to people on this list; it's a popularization. I
don't recall the reference, though. Were the atoms themselves actually in
an M-set pattern, and not merely some mathematical description of their
states? That would surprise me a bit, too.>>

  ::Flips through Chaos for an hour or so looking for the reference::

  Okay, 236. I was wrong; it's magnetization of of materials, not
liquid/solid transtions. Here's the quote:

  "Fractal basin boundaries addressed deep issues in theoretical physics.
Phase transitions were matters of thresholds, and [Heinz-Otto] Peitgen and
[Peter H.] Richter looked at one of the best-studied kinds of phase
transitions, magnetization and nonmagnetization in materials. Their pictures
of such boundaries displayed the peculiarly beautiful complexity that was
coming to seem so natural, cauliflower shapes with progressively more
tangled knobs and furrows. As they varied the parameters and increased their
magnification of details, one picture seemed more and more random, until
suddenly, unexpectedly, deep in the heart of a bewildering region, appeared
a familiar oblate form, studded with buds: the Mandelbrot set, every tendril
and every atom in place. It was another signpost of universality. 'Perhaps
we should believe in magic,' they wrote."

!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i
!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!
i!i!                             Nature Leseul
i!i!
i!i! "I wil play you some Mozart, if you like, which wil onlyi!i!
i!i!  make you weep, but my Don Juan, Christine, burns,  i!i!
i!i!  and yet he is not struck by fire from Heaven... You    i!i!
i!i!  see, Christine, there is some music that is so terriblei!i!
i!i!  that it consumes all who approach it."                      i!i!
!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i
!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!i!



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

Date: Fri, 19 Feb 1999 18:58:59 EST
From: [e-mail]
Subject: Re: (fractint) Re: Metaphor

In a message dated 2/19/99 2:54:56 PM Mountain Standard Time,
[e-mail] writes:

> Damascena,
>
>      No such thing as 'soppy'.  What you say is honest and open and forthright.
>  That is 'good'.
>
>                      Ray

Ray --  Thank you! but -- I'm a writer. I know soppy when I see it, even if I
just wrote it myself. Sometimes it's the only way to say something without
being pretentious. (I leave pretention to the side of me that sometimes says,
"I'm a fractal artist....")

Dama

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

Date: Sat, 20 Feb 1999 11:34:45 +1100
From: "Mark Townsend" <[e-mail]>
Subject: Re: (fractint) Fractint- Metaphor

>  Okay, 236. I was wrong; it's magnetization of of materials, not
>liquid/solid transtions. Here's the quote:
>
>  "Fractal basin boundaries addressed deep issues in theoretical physics.
>Phase transitions were matters of thresholds, and [Heinz-Otto] Peitgen and
>[Peter H.] Richter looked at one of the best-studied kinds of phase
>transitions, magnetization and nonmagnetization in materials. Their
pictures
>of such boundaries displayed the peculiarly beautiful complexity that was
>coming to seem so natural, cauliflower shapes with progressively more
>tangled knobs and furrows. As they varied the parameters and increased
their
>magnification of details, one picture seemed more and more random, until
>suddenly, unexpectedly, deep in the heart of a bewildering region, appeared
>a familiar oblate form, studded with buds: the Mandelbrot set, every
tendril
>and every atom in place. It was another signpost of universality. 'Perhaps
>we should believe in magic,' they wrote."


And you can look at Fractint's "Magnet" fractals to see what they were
talking about.

 I saw an extract from BOF on the web recently that sort of made this thing
about finding the Mandelbrot set in fractals generated from other functions
sound rather mundane: "The reason for this is that the family of functions
f(z)=z*z+c captures the typical behavior of many high iterates of functions
near places where the derivative is zero..."

When I looked at the Magnet fractals before writing I noticed that as well
as the Mandelbrot version producing copies of the Mandelbrot set, the Julia
version produced copies of Julia sets--just like the formulas I posted the
other day. I wonder if that holds true for any formula in which the
Mandelbrot form appears.

Mark Townsend
[e-mail]




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

Date: Fri, 19 Feb 1999 22:01:27 -0500
From: Barry N Merenoff <[e-mail]>
Subject: Re: (fractint) The Price of Fractal Software

Tim wrote
> I don't think Fractint will "die"...

Viva Fractint!

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Date: Fri, 19 Feb 1999 22:19:03 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re: J of M

Please resend this PAR in a one-part message. My browser couldn't handle
the three-part version.

Thank you.

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

Date: Fri, 19 Feb 1999 22:57:41 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re: Metaphor

True, each color boundary is a natural contour, but only the limiting
contour (iteration infinity) is the true fractal. In terms of actual
graphics, a true RENDERNIG of the fractal could be defined by stipulating=
 a
minimum number of consecutive levels identical at a given zoom level.

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Date: Fri, 19 Feb 1999 20:12:06 -0800
From: Ray Montgomery <[e-mail]>
Subject: (fractint) Re: Single Layer Syndrome

    Michael Traynor writes:

    "...I prefer...some...individual layers more interesting than the full UF
image....."

    I find the same thing.  Upon occasion I will delete a layer completely,
even after working on it for untold minutes, because the single layer is
great - can't, in my estimation, be improved upon with any addition.
    Whether it is the conditioning of Fractint, which I dearly love, or not,
it happens, and it has happened several times.  Occasionally I will end up
with a single layer that has no bearing, relationship or connection to the
original image brought up, that I have to laugh (well, I am mildly amused
by it) realizing that I have brought up perhaps three or four combined
images and end up with this single layer.
    Ah, well!  It is one of the diversions of this process we call 'living'
that occur once in a while.
    I was sort of glad to see that someone else had experienced the same thing.
        Regards            Ray


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

Date: Fri, 19 Feb 1999 23:06:27 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re: Metaphor

But what if you could zoom in on the post-processed images? As long as
there is a dense set of points which when approached reveal endless detai=
l,
I would still consider the image a fractal, even if that detail is smooth=
ed
over.

The idea is that the amount of smoothing should be appropriate to the zoo=
m
level. A fractal contour may be smoothed slightly for aesthetic purposes,=

but when magnified the smooth curve should be replaced by a more
complicated smooth curve each time.

(I know, easier said than done...) :)

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Date: Fri, 19 Feb 1999 23:10:37 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re "Select Video Mode"

Please refrain from using profane language. It is not appreciated by the
users of this mailing list, as I'm sure Tim will agree.

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Date: Fri, 19 Feb 1999 23:24:14 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re: Metaphor

What is Linas Vepstas' formula?

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Date: Fri, 19 Feb 1999 21:35:21 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) Re: Metaphor

It's a way of getting continous tone images from iteration counts.
Basically, as |z| -> infinity, the "+c" can be ignored and |z| will
increase doubly-exponentially with iteration number.  That is, taking the
(appropriately scaled) log(log(|z|)) will give numbers that vary linearly
with iteration number.  In other words, a smooth gradation of color.
Damien and I have incorporated Linas' ideas into some of our coloring
schemes; if no one beats me to it, I can post the exact details.

Kerry

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]    http://www.primenet.com/~lkmitch/
- -------------------------------------------------------------------------------

On Fri, 19 Feb 1999, Barry N Merenoff wrote:

> What is Linas Vepstas' formula?
>
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>


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

Date: Fri, 19 Feb 1999 21:35:21 -0700 (MST)
From: Kerry Mitchell <[e-mail]>
Subject: Re: (fractint) Re: Metaphor

It's a way of getting continous tone images from iteration counts.
Basically, as |z| -> infinity, the "+c" can be ignored and |z| will
increase doubly-exponentially with iteration number.  That is, taking the
(appropriately scaled) log(log(|z|)) will give numbers that vary linearly
with iteration number.  In other words, a smooth gradation of color.
Damien and I have incorporated Linas' ideas into some of our coloring
schemes; if no one beats me to it, I can post the exact details.

Kerry

- -------------------------------------------------------------------------------
Kerry Mitchell
[e-mail]    http://www.primenet.com/~lkmitch/
- -------------------------------------------------------------------------------

On Fri, 19 Feb 1999, Barry N Merenoff wrote:

> What is Linas Vepstas' formula?
>
> --------------------------------------------------------------
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>


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Date: Fri, 19 Feb 1999 23:37:48 -0800
From: "Leon Duych" <[e-mail]>
Subject: Re: (fractint) Re "Select Video Mode"

Sorry.

- -----Original Message-----
From: Barry N Merenoff <[e-mail]>
To: [e-mail] <[e-mail]>
Date: Friday, February 19, 1999 8:12 PM
Subject: (fractint) Re "Select Video Mode"


Please refrain from using profane language. It is not appreciated by the
users of this mailing list, as I'm sure Tim will agree.

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Date: Sat, 20 Feb 1999 03:34:35 -0500
From: Paul Derbyshire <[e-mail]>
Subject: Re: (fractint) Fractint Thanks (long)

At 10:40 PM 2/19/99 +1030, you wrote:
>Having just said the above, Fractint has saved me years of my life too!
After reading some articles
>by Pickover I tried to emulate his images using Basic in a few of its
variations.  I can hear all of
>the REAL programmers out there groaning, but it's all I had and my
programming skills are about on
>par with my maths, so not much point forking out for C++ or whatever.  I
didn't get to his images,
>but I produced fractals.  Firstly black and white only, but later I got to
colour.

Forking what out? There's a great C++ compiler available for free...


- --
   .*.  "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|

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Date: Sat, 20 Feb 1999 03:45:54 -0500
From: Paul Derbyshire <[e-mail]>
Subject: Re: (fractint) Fractint- Metaphor

At 04:53 PM 2/19/99 -0600, you wrote:
>  Okay, 236. I was wrong; it's magnetization of of materials, not
>liquid/solid transtions. Here's the quote:
>
>  "Fractal basin boundaries addressed deep issues in theoretical physics.
>Phase transitions were matters of thresholds, and [Heinz-Otto] Peitgen and
>[Peter H.] Richter looked at one of the best-studied kinds of phase
>transitions, magnetization and nonmagnetization in materials. Their pictures
>of such boundaries displayed the peculiarly beautiful complexity that was
>coming to seem so natural, cauliflower shapes with progressively more
>tangled knobs and furrows. As they varied the parameters and increased their
>magnification of details, one picture seemed more and more random, until
>suddenly, unexpectedly, deep in the heart of a bewildering region, appeared
>a familiar oblate form, studded with buds: the Mandelbrot set, every tendril
>and every atom in place. It was another signpost of universality. 'Perhaps
>we should believe in magic,' they wrote."

BOF is the source of Gleick's reference. It also has actual pictures. The
"magnet" types in Fractint came from those investigations, hence their name.

- --
   .*.  "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|

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Date: Sat, 20 Feb 1999 04:15:02 -0500
From: Paul Derbyshire <[e-mail]>
Subject: Re: (fractint) Fractint- Metaphor

At 11:34 AM 2/20/99 +1100, you wrote:
> I saw an extract from BOF on the web recently that sort of made this thing
>about finding the Mandelbrot set in fractals generated from other functions
>sound rather mundane: "The reason for this is that the family of functions
>f(z)=z*z+c captures the typical behavior of many high iterates of functions
>near places where the derivative is zero..."

I never saw any such phrase inmy copy of BOF.

Anyways, the mini-Mset will generally appear whenever these conditions are
met:
1. The parameter z_0 is chosen where f' is zero.
2. At that location f'' is non-zero.
3. The set { z : |f'(z)| <= 1 } has a connected component containing
   z_0 and containing no other critical points, and is bounded.

If condition 3 is violated a mini Mset appears but may be distorted
and fused to others in a weird way, or even stretched infinitely.

If condition 2 is violated, the Mset is not quadratic, and you see a
degree-n Mset (3 or above) when f', ..., f(n-1) are zero at z_0 and f(n) is
non-zero. If all derivatives are zero at z_0 you get an exponential-family
Mandelbrot. (Note that for e^z, all derivatives tend to zero at -inf, and
the forward image of -inf is 0, so we get an exponential Mset for e^z+c and
z_0 = 0.)

If condition 1 is violated you get a perturbed set that has some M-set
properties, mostly determined by the nature of the critical point closest
to z_0.

>When I looked at the Magnet fractals before writing I noticed that as well
>as the Mandelbrot version producing copies of the Mandelbrot set, the Julia
>version produced copies of Julia sets--just like the formulas I posted the
>other day. I wonder if that holds true for any formula in which the
>Mandelbrot form appears.

Of course... they're part of the same 4 dimensional Mandel-Julia object
that occurs in the z_0xc parameter space near points where:

* f'z(z,c) = 0   (differentiating with respect to z)
* f(z,c) = z
* f''z(z,c) != 0 (for quadratic M/Jul)

and preimages of such points.

- --
   .*.  "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|

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Date: Sat, 20 Feb 1999 12:36:33 +1
From: "J.P. Louvet" <[e-mail]>
Subject: Re: (fractint) The price of fractal software

le 14 Feb 99 a 13:50, Tim Wegner ecrivait (Tim Wegner wrote) :

> Where is there a full featured, open source program that is a
> worthy successor to Fractint? There isn't one, as far as I know.
> Actually I am very interested in Xaos, which runs on many
> platforms, and has just been ported to Windows. I may shift my
> efforts to working with Xaos, or merging some of Fractint's features with
> Xaos. Xaos, besides being open source, acknowledges Fractint generously.

I am very in late in this discussion because I have had too much work and
time spent with such fascinating problems as "why does my new computer
with NT does not detect my sound card, and one or two days after, why does
it ignore my 2nd net card when it detect my sound card :-(". Problems
solved now :-)

What do you think, to answer to your question, of Terry W. Gintz's
Dofozon. Sources are available and it has a reasonably good compatibility
with Fractint formula and parameter files.
Look at ftp://ftp-hs.iuta.u-bordeaux.fr/twggfa/dze1171b.zip dze1172.zip
and dzsrc117.zip.
Terry admits that to make his parser faster it might be programmed
in assembler but that he is not a specialist of this language.

Jean-Pierre louvet : [e-mail]
Fractal album :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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Date: Sat, 20 Feb 1999 12:42:47 +1
From: "J.P. Louvet" <[e-mail]>
Subject: (fractint) New pages about colors in fractals

Some time ago I sent the following message to the fractal art discussion
list but I have had no comment (comments, good or bad, may help me to
improve these pages).

Beginning of the message :

"I have added to my site a page (for readers who are not specialists)
about fractal colouring. The URLs are

English : http://graffiti.u-bordeaux.fr/MAPBX/louvet/colors.html

French :  : http://graffiti.u-bordeaux.fr/MAPBX/louvet/couleurs.html

This page has links with a page with the texts of the thread about this
topic which was discussed in this list one year ago. The URL of this page
is

http://graffiti.u-bordeaux.fr/MAPBX/louvet/colorsfa.html

I hope that the layout of this page may made it readable in spite of the
great number of messages, replies etc. reproduced in it.

Any comment, suggestion, correction about my page will be welcome. Some of
you, who are theoricians, may help me by looking if there are not heresies
in my text or if it can be completed (or simplified).

Thank you for your attention. And may be this can initiate a new thread
because I think that some of you have new ideas (Earl for example ?)."

End of the message.

Jean-Pierre louvet : [e-mail]
Fractal album :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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Date: Sat, 20 Feb 1999 06:59:37 -0500
From: Barry N Merenoff <[e-mail]>
Subject: (fractint) Re: New Pages About Colors in Fractals

Sorry, my browser cannot connect to that site. When the site becomes
available, however, I will be glad to comment on it.

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Date: Sat, 20 Feb 1999 23:59:23 +1100
From: "Mark Townsend" <[e-mail]>
Subject: Re: (fractint) Fractint- Metaphor

I wrote...

>> I saw an extract from BOF on the web recently that sort of made
>> this thing about finding the Mandelbrot set in fractals generated
>>.from other functions sound rather mundane: "The reason for this
>> is that the family of functions f(z)=z*z+c captures the typical behavior
>> of many high iterates of functions near places where the derivative is
>> zero..."

and Paul Derbyshire  wrote...

>I never saw any such phrase in my copy of BOF.

I can only go by my sources: "This page is an extraction of a small part of
Adrien Douady's excellent article Julia sets and the Mandelbrot set in The
beauty of fractals: images of complex dynamical systems by H.-O. Peitgen and
P. H. Richter, Springer-Verlag publ., 1986, pp. 161-173."

The page in question is at:

http://math.binghamton.edu/MATH/topics/mandel/mandel_why.html

>Anyways, the mini-Mset will generally appear whenever these conditions are
met: [snip]

Thanks for the explanation but I have to admit that I didn't understand a
word of it. Actually, that's not true: I understood "Anyways".

Mark Townsend
[e-mail]




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Date: Sat, 20 Feb 1999 16:00:07 +1
From: "J.P. Louvet" <[e-mail]>
Subject: Re: (fractint) Re: New Pages About Colors in Fractals

le 20 Feb 99 a 6:59, Barry N Merenoff ecrivait (Barry N Merenoff wrote) :

> Sorry, my browser cannot connect to that site. When the site becomes
> available, however, I will be glad to comment on it.
>

Following a major electric problem in the neighboring of the campus
several services of our network have suffered yesterday. I have a mirror
site at http://www-hs.iuta.u-bordeaux.fr/louvet/
It seems that it works. I hope that all will be OK Monday.

Jean-Pierre louvet : [e-mail]
Fractal album :
http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html

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Date: Sat, 20 Feb 1999 18:16:46 +0100
From: "Dean-Christian Strik" <[e-mail]>
Subject: Re: (fractint) The Price of Fractal Software

Fractint est most, vive UltraFractal!

Er.... sorry ;-)

- --

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

Real programmers like vending machine popcorn. Coders pop it in the
microwave oven. Real programmers use the heat given off by the CPU. They can
tell what job is running just by listening to the rate of popping.

- -----Original Message-----
From: Barry N Merenoff <[e-mail]>
To: [e-mail] <[e-mail]>
Date: zaterdag 20 februari 1999 04 01 Fluxen
Subject: Re: (fractint) The Price of Fractal Software


Tim wrote
> I don't think Fractint will "die"...

Viva Fractint!

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End of fractint-digest V1 #371
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