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arXiv · 2606.29740

Two-pile and three-pile games of a new variant of Nim known as Halve Nim

Stephen C. Locke·Stephen J. Curran·Richard M. Low
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Abstract

We investigate a variant of Nim called Halve Nim, which in addition to the standard moves of Nim, we allow replacing each pile of coins with half its amount. We determine the P-positions of all two-pile games of Halve Nim. Also, we determine the P-positions of all three-pile games of Halve Nim in which one pile has at most ten coins.

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Stephen C. Locke, Stephen J. Curran, Richard M. Low. 2026-06-29. Two-pile and three-pile games of a new variant of Nim known as Halve Nim. https://arxiv.org/abs/2606.29740

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