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Periodicity and other structure in a colorful family of Nim-like arrays. (English) Zbl 1200.91055

Summary: 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.

MSC:

91A46 Combinatorial games
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