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Author Topic: Algae and Ruby Centerpiece  (Read 755 times)
Description: Matchmaker Julia sets
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Fractal Senior
Posts: 2592

« on: March 19, 2009, 12:58:08 AM »

A Matchmaker Julia set from a minibrot in Seahorse Valley of a minibrot inside a large bud. It therefore has two attractors. One, associated with the large bud, has period 11 and produces the green petals; the other has period 1210 and its basin consists of a scattering of tiny nuggets. The big seahorse structures in yellow consist of high-iteration points belonging to the 11-cycle's basin, but showing the filigree structure of the Julia set around a cluster of the other basin's nuggets. These nuggets are found in the double spirals in the "algae".

The period-11 attractor's basin gradient is light green to dark green to orange-yellow to yellow to white, smoothed iterations. The period-1210 attractor's basin gradient is reds and greys, phi angle. A couple of the nuggets are barely visible in the 2048x1536 version of the above image. Here is a close-up of one:

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

Detailed statistics:
Fractal: Matchmaker Julia set
Location: a = 0.53256 + 0.31163i; b = 0.513618727862071438 + 1.553571837417694547i

Name:AlgaeRuby Centerpiece
Date:February 17, 2009February 17, 2009
Depth:Very shallowShallow
Min Iterations:8031683
Max Iterations:53,69964,867
Anti-aliasing:3x3, threshold 0, depth 23x3, threshold 0, depth 1
Preparation time:10 minutes5 minutes
Calculation time:6 and a half hours2 hours (2GHz dual-core Athlon XP)

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« Reply #1 on: March 19, 2009, 06:34:51 AM »

A Matchmaker Julia set from a minibrot in Seahorse Valley of a minibrot inside a large bud.   
.......  These nuggets are found in the double spirals in the "algae".

I find the "Algae" image very interesting !!    smiley

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