Vortices

[Pauldelbrot]

This is what happens to a Supernova lake in a Zero Minimandelbrot. The lake is a froth full of small quadratic Julia basins and intrusions of points that diverge, with embedded low-iteration areas of the latter. In this image, these are the bright vortex centers, and we're in the large front bud of the hidden minibrot, resulting in the lakelets having the form of Fatou sets from the period-2 bud of M.

Divergent points gradient: pale pink to maroon to dark red to gold.

Convergent points gradient: pale blue to saturated blue to navy.

There are c-plane minibrots in the bright golden spots with local twofold symmetry about them, but none are large enough to actually see, even in the 2048x1536 version. These form the usual loose ring around the lake-zone for Antimatter/Supernova.

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

Detailed statistics:

Name: Vortices
Date: February 19, 2009
Fractal: Supernova Mandelbrot set
Location: c-plane; a = 0.61803398, b = 0.081250000013 - 0.063541666683i
Depth: Shallow
Min Iterations: 122
Max Iterations: 1038
Layers: 2
Anti-aliasing: 3x3, threshold 0.1, depth 1
Preparation time: 5 minutes
Calculation time: 5 minutes (2GHz dual-core Athlon XP)