Trisnake

[Pauldelbrot]

A slight zoom into Turbulence, a Matchmaker Julia set with a single fixed-point attractor. One critical point is inside a cardioid near its cusp and this causes the coils; the other is outside a region similar to where the quadratic M-set has a Fibonacci sequence of bud periods.

Here, two of the attractor phases are black (one layer is responsible for this) while the third is colored using a combination of smoothed iterations and internal angle (the other two layers).

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

Detailed statistics:

Name: Trisnake
Date: December 16, 2009
Fractal: Matchmaker Julia set
Location: a = 0.53256 + 0.31163i; b = -0.40383523052 - 0.92116477505i
Depth: Very Shallow
Min Iterations: 24
Max Iterations: 772
Layers: 1
Anti-aliasing: 3x3, threshold 0, depth 1
Preparation time: 5 minutes
Calculation time: 5 minutes (2.5GHz dual-core E5200)