POV-Ray : Newsgroups : povray.binaries.images : Playing with Mandelbrot ... Server Time
19 Aug 2024 06:19:45 EDT (-0400)
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From: Anton Sherwood
Subject: Re: Playing with Mandelbrot ...
Date: 26 Jan 2001 02:01:56
Message: <3A7122F7.FA36C462@pobox.com>
Anton wrote
> > Complex numbers can be expressed in a fairly natural way as colors:
> > do a stereographic projection from the complex plane onto a sphere,
> > and embed that sphere in the color cube.

Jan Walzer wrote:
> What advantages do you hope to get from this ???

Well, the most obvious mapping expresses phase as hue and magnitude
(nonlinearly) as brightness, so one could see from a single picture
"here the function has a high real part" for example.

> > My idea is an animation of the Mandelbrot iteration:
> > frame N shows, as color, the number to which each
> > original pixel is mapped after N steps.
> 
> Of course, I can't say that I really understood, what you want
> to make visible...
> how yould the image look like after that ???

The exterior of the M-set converges toward white (representing
infinity), and the interior jumps around in ways I cannot predict.

-- 
Anton Sherwood  --  br0### [at] p0b0xcom  --  http://ogre.nu/


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