Inversions

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Inversions is a Trap Shape in reb.ulb

Hi everyone,

I have updated reb.ulb and uploaded it to the database. The main change is the addition of a new Trap Shape called Inversions. As some of you on the list know, I have written formulas to perform Raytracing on arrays of inverted spheres. Circle and Sphere Inversions, and Inversions using Mobius transforms all produce fractals, albeit quite different from the standard escape time fractals. I have experimented for several years looking for ways to marry sphere inversion fractals with escape fractals. The new trap shape uses an array of sphere inversions, which themselves are fractals, to marry the sphere inversions to escape time variety. Here are two demo uprs to illustrate the marriage of a Gopalsamy fractal with the Apollonian gasket.

Ron Barnett

Image:8_12_08_Inversions1.jpg

© Copyright 2008 Ron Barnett


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Image:8_12_08_Inversions3.jpg

© Copyright 2008 Ron Barnett


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