Robert P. Munafo, 2002 Apr 18.
Each mu-unit in the Mandelbrot set includes a complete set of
descendant mu-atoms, filaments, mu-molecules
and other features in
a one-to-one correspondence with the Mandelbrot set as a whole,
and the periods of all mu-atoms within the mu-unit are
equal to the period of the mu-unit's owner multiplied
by the period of the mu-atom to which it corresponds.
For example, within the mu-unit R2.1/3 is the mu-atom R2.1/3.3/4a
. In the one-to-one correspondence for R2.1/3, this mu-atom maps to
R2.3/4a . Because R2.3/4a has period 4 and R2.1/3a has period 3,
R2.1/3.3/4a has period 12. This is illustrated with pictures in the
mu-unit entry.
See also enumeration of features.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo. Mu-ency index
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