Fibonacci Series
Robert P. Munafo, 2012 Dec 3.
The "Fibonacci series" is the series of muatoms R2.1/2a, R2.2/3a, R2.3/5a, R2.5/8a, and so on, where the numerator and denominator of the internal angle fraction are consecutive Fibonacci numbers F_{i} and F_{i+1}.
Because of mirror symmetry there are actually two Fibonacci series, the other being the series R2.1/2a, R2.1/3a, R2.2/5a, R2.3/8a, and so on, where the numerator and denominator are alternate Fibonacci numbers F_{i} and F_{i+2}.

In these pictures the filaments are very dense; every major branch point has 233 branches.
The "limits" of the two Fibonacci series are the internal angles 0.6180339887498... or 0.3819660112501... which are 1/Φ and 1/Φ^{2} where Φ is the Golden ratio.
revisions: 20121203 oldest on record
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 19872018. Muency index
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2018 Feb 04. s.11