Robert P. Munafo, 2012 Aug 18.
Any mu-molecule that is not the continent.
Island Mu-Molecules are usually the third thing one notices (after the continent itself and the filaments; see exploring). It is an unexpected surprise: "Hey! there are little Mandelbrot Sets here!" and the dedicated explorer will then find that the islands are all miniatures of the entire Mandelbrot Set down to the last filament. See the largest islands entry for a list.
Every neighborhood of a point on the boundary of the Mandelbrot set contains infinitely many embedded copies of the Mandelbrot Set.
In other words, every tiniest bit of filament has infinitely many islands embedded in it, although most are very tiny.
Images and Links
R2F(1/2B1)S, the largest island
A cluster of islands in the R2.2/5 radical
R2F(1/15B1)S, located in the cusp R2.C(0), a highly distorted island
See also Enumeration of Features.
revisions: 20100908 oldest on record; 20120818 add images and links
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2015. Mu-ency index
This page was last updated on 2015 Jan 01. s.11