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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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