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