Periodicity and Other Structure in a Colorful Family of Nim-like Arrays

Lowell Abrams, Dena S. Cowen-Morton


We study aspects of the combinatorial and graphical structure shared by a certain family of recursively generated arrays related to the operation of Nim-addition. In particular, these arrays display periodic behavior along rows and diagonals. We explain how various features of computer-generated graphics depicting these arrays are reflections of the theorems we prove.

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