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arXiv · 1509.08527

Global Fibonacci Nim

Urban Larsson·Simon Rubinstein-Salzedo
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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.

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Urban Larsson, Simon Rubinstein-Salzedo. 2015-09-28. Global Fibonacci Nim. https://arxiv.org/abs/1509.08527

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