POV-Ray : Newsgroups : povray.binaries.images : My Name Is Attractive.... : Re: My Name Is Attractive.... Server Time
7 Aug 2024 07:10:38 EDT (-0400)
  Re: My Name Is Attractive....  
From: stingo
Date: 21 May 2006 06:55:09
Message: <4470470c@news.povray.org>
Hi,
Nice! Could you post the script ? ;)
Thanks.

Dave Matthews wrote:

> if not strangely so....
> 
> J. C. Sprott, some years back, alphabetized the parameters of the
> general quadratic map,
> 
> X_n+1 = C0 + C1*X_n + C2*X_n*X_n + C3*X_n*Y_n + C4*Y_n + C5*Y_n*Y_n
> 
> Y_n+1 = C6 + C7*X_n + C8*X_n*X_n + C9*X_n*Y_n + C10*Y_n + C11*Y_n*Y_n
> 
> (X_0, Y_0) = (0, 0)
> 
> (see:
> 
> http://mathworld.wolfram.com/StrangeAttractor.html ),
> 
> by starting with A = -1.2, B = -1.1, ... Y = 1.2  (I toss in Z = 1.3,
> why not?)
> 
> So, MATTHEWSDAVE produces an apparently 1-dimensional (so not strange)
> attractor.
> 
> I know others have made much nicer images of quadratic maps using
> POV-Ray, but since I made up a scene file that lets you input strings
> and see the attractor (if it exists), as well as one that randomly
> searches for attractors, using "clock," then spits out pictures you can
> sort through later, and I'm posting them to PBSF, I thought I'd share a
> couple of images, including my attractive name ;-)
> 
> One of them was produced with the random generator (note fewer dots so
> it parses faster), and the other is the same attractor done up nicer
> using the alphabet scene file.


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