Flame

[Pauldelbrot]

This image results from zooming into the Herman Ring Mandelbrot c-plane, with a = 0.332, near a turbulent feature between two large buds. The image is rotated 90 degrees.

Three layers are used: smoky pale blue shading to grey and then red (divergent points), smoky pale aqua shading to grey and then yellow (points attracted to zero), and a distance estimator layer subtracted to give a grey edge to the regions.

Black points belong to the Mandelbrot-like set, and correspond to the presence of a finite attractor other than zero.

Full-size image is 1024x3072; click the image above and then the link for that size to get it.

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

Detailed statistics:
Name: Flame
Date: February 3, 2009
Fractal: Herman Ring Mandelbrot, c-plane
Location: angle parameter = 0.332, zoomed mildly about c = 2.8765909091 + 1.53617424235i
Depth: Shallow
Min Iterations: 11
Max Iterations: 39,336
Layers: 3
Anti-aliasing: 3x3, threshold 0.10, depth 1
Preparation time: 30 minutes
Calculation time: 10 minutes (2GHz dual-core Athlon XP)

[cKleinhuis]

very nice!