Proceed to Safety

Golden Ratio    

Robert P. Munafo, 2012 Dec 4.

The Golden ratio is the number (1+√5)/2 = 1.6180339887...

It doesn't have any particularly significant relationship with the Mandelbrot set, but the series of mu-atoms R2.1/2a, R2.2/3a, R2.3/5a, R2.5/8a, ... whose internal angles approach the Golden ratio is an interesting example of what happens when the iteration dynamics and Julia sets approach the Siegel disc region.

See also Constants.

revisions: 20121204 oldest on record

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

Mu-ency main pageindexrecent changesDEMZ

Robert Munafo's home pages on AWS    © 1996-2024 Robert P. Munafo.    about    contact
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Details here.

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2012 Dec 05. s.27