Frontier and Frontier II

[Pauldelbrot]

A Matchmaker Julia set with one attractor of period 11. Even with only one attractor, a very convoluted Julia set can result. The first image is colored by smoothed iterations. The second is colored by phase: the number of iterations, modulo 11, to hit a target disk about a particular one of the 11 points in the attractor.

Unfortunately, the JPEG version of the first image is of less than ideal color fidelity. A 2048x1536 PNG is available upon request, as usual for most of my images.

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

Detailed statistics:
Names: Frontier and Frontier II
Date: February 17, 2009
Fractal: Matchmaker Julia set
Location: a = 0.53256 + 0.31163i; b = 0.515347266417 + 1.56261795688i
Depth: Very Shallow
Min Iterations: 330
Max Iterations: 2750
Layers: 1
Anti-aliasing: 3x3, threshold 0, depth 2
Preparation time: 10 minutes
Calculation times: 1 hour each (2GHz dual-core Athlon XP)