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HummingbirdSpiral2Spiral1
Spiral2
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Posted by: msltoe September 01, 2010, 03:20:48 AM

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msltoe
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September 18, 2010, 11:30:59 PM
KRAFTWERK,

 It's a close-up of Julia set near a dust seed, e.g.: (0.7,0.297,0). But the actual function escapes me. I've been playing a lot with functions of the form: x' = x*x-y*y; y'=2*x*y; z'=f(z). The idea is that (X,Y) are conformal, and Z is perpendicular, so the whole 3-D function is almost conformal, with spheres mapping to unbounded ellipses.
As you dial up the iteration count, you get deeper spirals, but lose the outer rings.

-mike
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September 17, 2010, 09:13:57 AM
Beautiful one msltoe! What is it?

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