Mu-molecule

Robert P. Munafo, 2012 Apr 16.

Definition : math. A mu-atom and all of those which are linked to it, either directly or indirectly, through bonds.

This term was introduced by Benoit Mandelbrot in his description of the Mandelbrot set in The Fractal Geometry of Nature.

Mu-molecules are the "miniature Mandelbrot sets" that appear in the filaments (see island mu-molecules). Each mu-molecule is a mu-unit and is therefore a distorted copy of the entire Mandelbrot set.

Colloquial names for mu-molecules are island, Mandelbrotie, and midget.

Examples

Click on any image to go to its article.

R2, the entire Mandelbrot set is the largest mu-moledule.

R2F(1/2B1)S, the largest island is a mu-molecule of period 3.

R2F(1/3B1)S, the largest asymmetrical island is a mu-molecule of period 4.

revisions: 20030924 oldest on record; 20120416 add examples

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