The Geometry of Nim
Combinatorics
2011-10-03 v1
Abstract
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.
Cite
@article{arxiv.1109.6712,
title = {The Geometry of Nim},
author = {Kevin Gibbons},
journal= {arXiv preprint arXiv:1109.6712},
year = {2011}
}