Robert P. Munafo, 2012 Apr 16.
A "larger neighbor" of a mu-atom is another mu-atom that is larger (has lower period). There are at most two; one in the clockwise direction and one counterclockwise. (By contrast, there are aleph-0 smaller neighbors in each direction).
If A and B are the larger neighbors of C, then C is the inner neighbor is A and B.
various mu-atoms, some of which are neighbors
Near the center of the figure is R2.3/8a. To the left (the counterclockwise direction) we see two of its neighbors, R2.2/5a and R2.5/13a. The larger one of these, R2.2/5a, is a "larger neighbor" of R2.3/8a because it is a neighbor and it is larger.
revisions: 20010123 oldest on record; 20120416 add illustration
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2023.
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2012 Apr 17. s.27