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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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