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Fractal Art => Images Showcase (Rate My Fractal) => Topic started by: Adam Majewski on February 05, 2017, 09:33:10 AM




Title: Parabolic enrichment
Post by: Adam Majewski on February 05, 2017, 09:33:10 AM
Parabolic enrichment

(http://nocache-nocookies.digitalgott.com/gallery/20/637_05_02_17_9_33_07.gif)

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=20019

Animation shows series of Julia set images on boundary of main cardioid of standard Mandelbrot set. Each image shows Siegel disc and external rays 1/3 and 2/3 which land on the repelling ( or parabolic at the end) period 2 cycle. See how :
  • siegel disc is glued into 2 sepals
  • spirla parts of Julia set around period 2 cycle is incorporated into main component of Julia set