Index of /~cheritat/MatMovies/Magic

[ICO]NameLast modifiedSizeDescription

[PARENTDIR]Parent Directory  -  
[VID]MagicSiegel.mkv2012-04-14 16:00 4.4M 
[TXT]README.html2016-01-07 16:06 575  

Siegel disk | Magic formula applied to Siegel disk

One is the degree two polynomial P1 having a fixed point with multiplier exp(2 pi i theta) where theta is the golden mean. The other is the polynomial P2 obtained from the first by applying Douady's magic formula: consider the external angle alpha of the parameter for P1. Let beta = alpha/4 + 1/2. The external ray of the Mandelbrot set with angle beta lands on a real parameter. This is P2. The mating of P1 and P2 is a degree two rational map with a Siegel disk and a critical orbit relation.