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Organisms



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=15423

A spacefilling Julia set from Triple Matchmaker.

I have developed a form of super-Triple-Matchmaker called Triskelion, and images of that will be forthcoming. It has some advantages and some disadvantages over Triple Matchmaker -- advantage: control of the exact stability parameters for three basins; disadvantage: slower to compute (by quite a lot), and harder to navigate by Mandelbrot view.

Triskelion is capable of everything Triple Matchmaker is, including entwined basins, entwined disconnected Julia sets with no attractors, and even Herman rings (which seem actually to be generic to all rational maps with nontrivial denominators and not-too-low degree). It can also be coaxed into producing four and sometimes five basins of attraction, with a theoretical maximum of seven.