Global Fibonacci Nim
Combinatorics
2015-09-30 v1
Abstract
Fibonacci nim is a popular impartial combinatorial game, usually played with a single pile of stones. The game is appealing due to its surprising connections with the Fibonacci numbers and the Zeckendorf representation. In this article, we investigate some properties of a variant played with multiple piles of stones, and solve the 2-pile case. A player chooses one of the piles and plays as in Fibonacci nim, but here the move-size restriction is a global parameter, valid for any pile.
Keywords
Cite
@article{arxiv.1509.08527,
title = {Global Fibonacci Nim},
author = {Urban Larsson and Simon Rubinstein-Salzedo},
journal= {arXiv preprint arXiv:1509.08527},
year = {2015}
}
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