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The (4,1) automata

The CAM board supports three kinds of neighborhoods --- the von Neumann neighborhood in which only lateral neighbors are considered but from two planes, the Moore neighborhood with both lateral and diagonal neighbors but from a single plane, and the Margolis neighborhood. Consequently (4,1) automata are of the von Neumann type; each of the two plane pairs can have its own automaton if that is desired.

In fact, each of the four planes can even have its own (2,1) von Neumann automaton, if the evolution table for the odd planes ignores the neighbors in the even planes, and conversely. Although this represents something of a waste of table space, it is a good way to work with the simpler automata, albeit within a more ambitious hardware environment.





Harold V. McIntosh
E-mail:mcintosh@servidor.unam.mx