File:Logistic Map Bifurcations Underneath Mandelbrot Set.gif

Summary

Description
English: The xy-plane here represents the Re[c] and Im[c] plane, just as canonical Mandelbrot sets are considered. The z axis encodes the values that z[n] takes during its iteration. Thus, the areas unbounded (not in the Mandelbrot set) are mostly dark, and the areas bounded during iteration add up.

This file was rendered using open-source code freely available here: https://github.com/jonnyhyman/Chaos

For a YouTube video by Veritasium, as seen here:

https://www.youtube.com/watch?v=ovJcsL7vyrk
Date
Source Own work
Author Jonny Hyman

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Category:CC-BY-SA-4.0#Logistic%20Map%20Bifurcations%20Underneath%20Mandelbrot%20Set.gif
Category:Self-published work Category:Mandelbrot sets (whole) Category:Mandelbrot set animations Category:Mandelbrot set properties Category:Animated GIF files between 50 MP and 100 MP Category:Animated GIF files Category:Bifurcation theory
Category:Animated GIF files Category:Animated GIF files between 50 MP and 100 MP Category:Bifurcation theory Category:CC-BY-SA-4.0 Category:Mandelbrot set animations Category:Mandelbrot set properties Category:Mandelbrot sets (whole) Category:Self-published work