Smaller Neighbor

Robert P. Munafo, 1998 Jan 7.


A smaller neighbor of a mu-atom is a neighbor that is smaller (has higher period). There are aleph-0 smaller neighbors in each direction (clockwise and counterclockwise).

Example: R2.2/5a is a mu-atom. In the clockwise direction its smaller neighbors are R2.3/8a, R2.4/11a, R2.5/14a, R2.6/17a, etc. In the counterclockwise direction its smaller neighbors are R2.3/7a, R2.4/9a, R2.5/11a, R2.6/13a, etc.

See also inner neighbor, larger neighbor, Farey addition.



From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index


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