Threefold is the result of another stab at generating a three-arbitrary-quadratic-Julias system. Whereas with Triple Matchmaker I modified Matchmaker to add more parameters, with Threefold I modified Twofold, the system from which I derived Matchmaker.
Matchmaker is
})
and twofold is
})
. Threefold is
})
and has the same basic structure as Twofold, except that instead of orbits having a twofold symmetry to their fates, they have a threefold symmetry.
This is a dusty Julia from a point outside the unit disk in the parameter space; this outer region, as in Twofold, has only an attracting fixed point at zero.
Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.
Detailed statistics:
Name: Hot Zone IV
Date: March 1, 2009
Fractal: Threefold Julia set
Location:
b = 0.49635 + 0.134307
iDepth: Very Shallow
Min Iterations: 163
Max Iterations: 598
Layers: 1
Anti-aliasing: 3x3, threshold 0.1, depth 1
Preparation time: 5 minutes
Calculation time: 4 minutes (2GHz dual-core Athlon XP)
October 16, 2011, 06:31:18 PM
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