Title: Bubble Universes Post by: Pauldelbrot on June 13, 2014, 11:38:22 AM Bubble Universes (http://nocache-nocookies.digitalgott.com/gallery/16/511_13_06_14_11_38_22.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16299 They say that the universe might not be unique, instead forming like bubbles in a vast void and pinching off more bubbles where there are black holes. Matchmaker Mandelbrot. Parameters for which the Julia set is the whole Riemann sphere are elliptic harlequin colored with a blue-and-gold gradient based on the fate of one of the critical points. Parameters for which the dynamics feature at least one stable cycle get a blue gradient based on smoothed iterations for the other critical point to hit a tiny target disk around the point of the attractor it converges to that is in the same petal of the corresponding Fatou set (once it's close to the attractor, that's the point it's near on iteration numbers that are integer multiples of the attractor's period). |