Flower Power IV

[Pauldelbrot]

A Triple Matchmaker Julia set with two attractors, one of period 14 and one of period 20. The groups of bright points in the green regions (period 14) give away that the system has a total of four critical values, and thus four preimages of everything. One of the critical values is uninteresting to study unless d is nonzero, however, so when d = 0 there are a maximum of three attractors in this system.

The long calculation time despite low iters is due to the very aggressive anti-aliasing required to do justice to the centers of the purple flowers.

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

Detailed statistics:

Name: Flower Power IV
Date: February 25, 2009
Fractal: Triple Matchmaker Julia set
Location: a = -0.059603 + 0.35209i; b = 0.070073 + 0.0280292i; c = -1.42628 + 2.70015i; d = 0.
Depth: Very Shallow
Min Iterations: 86
Max Iterations: 4506
Layers: 2
Anti-aliasing: 3x3, threshold 0.0, depth 3
Preparation time: 5 minutes
Calculation time: 35 hours (2GHz dual-core Athlon XP)