Julia set

From Fractal Wiki
Revision as of 09:01, 29 June 2019 by WAUthethird (talk | contribs) (Created page with "A Julia set <math>J</math> for a function <math>f</math> is the boundary of its Fatou components. On the Fatou set <math>F</math>, nearby points remain nearby under itera...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

A Julia set [math]J[/math] for a function [math]f[/math] is the boundary of its Fatou components. On the Fatou set [math]F[/math], nearby points remain nearby under iteration of [math]f[/math], while on the Julia set nearby points are ripped apart chaotically by [math]f[/math] (while remaining in the Julia set, which is invariant under [math]f[/math]).

While (filled-in) Julia sets can be calculated as escape-time fractals, alternative algorithms include backwards iteration.


Original Page by Claude