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A Matchmaker II Mandelbrot slice with b in a period-3 bud. This is fairly typical of in-bud Mandelbrots: the fractal is divided into two regions, one in this case resembling the content of triple spiral valley and one resembling an inverted M-set with the "outside" basin broken up into domains. There is also a small S-shaped region of black points near the boundary between the two: no stable attractors exist for these parameter values.

These types of Matchmaker II fractal tend to compute slowly, being plagued by high iterations. Fortunately they rarely require aggressive antialiasing.

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

Detailed statistics:

Name: Alien II
Date: March 4, 2009
Fractal: Matchmaker 2 Mandelbrot slice
Location: a-plane; b = -0.55129540468 + 0.85464075601i
Depth: Very Shallow
Min Iterations: 87
Max Iterations: 994030
Layers: 2
Anti-aliasing: 3x3, threshold 0.1, depth 1
Preparation time: 10 minutes
Calculation time: 2 hours (2GHz dual-core Athlon XP)

Thanks. That's doable, though it might be a week before I get around to it.