POV-Ray : Newsgroups : povray.advanced-users : Julia Fractal : Re: Julia Fractal Server Time
3 Jul 2024 06:05:32 EDT (-0400)
  Re: Julia Fractal  
From: Mike Williams
Date: 27 Sep 2008 20:24:11
Message: <Ukxae9DP0s3IFwja@econym.demon.co.uk>
Wasn't it Jos leys who wrote:
>Mike Williams <nos### [at] econymdemoncouk> wrote:
>> Wasn't it Jos leys who wrote:
>>
>> With a Strange Attractor, the track neither converges nor diverges. It
>> wanders chaotically within a finite volume.
>
>Sure, you are right, but what if I told you that there may be a way to treat
>this attractor in a similar fashion than a Julia fractal?

I have a suspicion that anything like that would probably end up 
describing a rather boring surface.

I also suspect that you might need to track a lot more iterations on 
average than you would for a Julia fractal in order to decide whether 
the sequence you're tracking is going to converge to the attractor or 
drift off to infinity. In the case of a Julia fractal, you only need to 
calculate a small number of iterations for the vast majority of starting 
points.

However, it might be worthwhile to run a few low resolution 
visualizations to have a quick look. Run your calculations for a grid of 
points and plot a sphere if the sequence looks like it converges.

-- 
Mike Williams
Gentleman of Leisure


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