A square-shaped neighborhood that can be used to define a set of cells surrounding a given cell 
that may affect the evolution of a two-dimensional cellular
automaton on a square grid. The Moore neighborhood
of range 
is defined by
 |
Moore neighborhoods for ranges 
, 1, 2, and 3 are illustrated above. The number of cells
in the Moore neighborhood of range 
is the odd squares 
, the first few of which are 1, 9, 25, 49, 81, ... (OEIS
A016754).
