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Fern FrondsUtter ChaosA Seahorse Odyssey CLXIX
Utter Chaos
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Description: A Triskelion Julia set related to "Siegels and Seahorses Forever", which has five basins. Adding a factor of z somewhere produced an attracting basin at zero (pale blue, with internal angle based coloring) in addition to the original white seahorse basin (period 25, petals with attractor points surround a repelling fixed point at omega squared), red Siegel basin (attracting Siegel disk centered at omega), and dark blue Siegel basin (golden mean Siegel disk itself centered at 1). Further tweaking the t parameter caused a fifth basin to pop up (green "snakes", with a period-2 attractor associated with neither zero nor any of the cube roots of 1).
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Keywords: Triskelion 
Posted by: Pauldelbrot April 13, 2014, 10:58:41 PM

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