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Author Topic: Gemstones  (Read 554 times)
Description: Antimatter Julia set
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Pauldelbrot
Fractal Senior
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Posts: 2592



pderbyshire2
« on: March 16, 2009, 08:37:19 AM »





This Julia set is from near the center of the blue minibrot prominent in Fractured Mirror II. As one might expect for a point where the two "interesting" critical points are bifurcating independently, there are two attractors in addition to the omnipresent zero and infinity.

Divergent points get the blue gradient by one layer and points that go to zero get the purple one; both by smoothed iterations. The attractor corresponding to the big Fractured Mirror ghost-cardioid is in the ring of golden dragons, one point in each in the main chain. This attractor's period is 23. Its basin gets two layers, one phi-angle layer and one smoothed iterations layer. The final attractor, associated with that blue minibrot, is in disconnected components that are much smaller and connect the chain of dragons. Its period is 69 and its basin is colored using only phi-angle.<p>

Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.

Detailed statistics:

Name: Gemstones
Date: February 14, 2009
Fractal: Antimatter Julia set
Location: angle parameter ~= phi (0.61803398), c = 0.0420385886235 + 3.27208694575i
Depth: Shallow
Min Iterations: 2
Max Iterations: 6861
Layers: 5
Anti-aliasing: 3x3, threshold 0.10, depth 1
Preparation time: 1 hour
Calculation time: 40 minutes (2GHz dual-core Athlon XP)


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