The Geometry of Nim

Details The Geometry of Nim The Geometry of Nim

2011-09-30

arxiv.org/abs/1109.6712v1

Mathematics

Combinatorics

Scientific paper

We relate the Sierpinski triangle and the game of Nim. We begin by defining
both a new high-dimensional analog of the Sierpinski triangle and a natural
geometric interpretation of the losing positions in Nim, and then, in a new
result, show that these are equivalent in each finite dimension.

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