File:Logistic Map Bifurcations Underneath Mandelbrot Set.gif

Original file (1,080 × 1,080 pixels, file size: 18.08 MB, MIME type: image/gif, looped, 60 frames, 6.0 s)

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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Captions

The logistic map hides beneath the Mandelbrot set in a 3D volumetric rendering

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28 January 2020

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current20:00, 29 January 2020Thumbnail for version as of 20:00, 29 January 20201,080 × 1,080 (18.08 MB)JonnyhymanUser created page with UploadWizard

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