Garland

[Pauldelbrot]

Zoom into Flower Power II about minibrot near bottom edge of that image.

For this image, one critical point was iterated but if it converged to a finite attractor, the other critical point was iterated. If it went to the same one, the phase difference was used in the coloring; the two might land on the same point of the attractor at the same time, or they might end up chasing each other around the attractor always separated by some number of points. This "distance" determines the colors of the petals of the flowers, which are found inside a period-7 "ghost bud" (which in an image using the second critical point as its "main" one would be a normal bud filling the screen).

Two of the five layers color divergent points (green) and points convergent to zero (blue). A third colors points converging to other attractors. All use smoothed iterations. Two further layers modify that third layer: one iterates both critical points and uses the phase difference and HSL addition to modify the hue; the other iterates both critical points and applies a shiny red coat of paint to the parameter points for which the dynamics have the maximum of four attractors. This last layer is responsible for the ruby red minibrot coloring.

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

Detailed statistics:

Name: Garland
Date: May 06, 2009
Fractal: Antimatter (Herman Ring) Mandelbrot (c plane)
Location: angle parameter ~= phi (0.61803398), north-east area
Depth: Shallow
Min Iterations: 73
Max Iterations: 1,000,000
Layers: 5
Anti-aliasing: 3x3, threshold 0, depth 2
Preparation time: 2 minutes
Calculation time: 15 hours (2.5GHz dual-core E5200)

[iteron]

Really great image.

An inflated mandelbrot floats in a fountain of fractal water lilies.

Very nice work.

[titia]

Beautiful!!!

[Nahee_Enterprises]

An interesting effect, like a 3-D type image on top of a flat 2-D area.