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, (c) 1987-2012. Mu-ency index
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