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Sharing Nim and Enumeration of Nim Characteristics (2008.01075v1)
Published 3 Aug 2020 in math.CO and cs.GT
Abstract: In this paper, we introduce and examine a variant of the game of Nim (Sharing Nim), where players can either remove or transfer objects from 1 pile to another. The only restriction is that players may not transfer objects from a pile of greater size to a pile of smaller size. We also find new methods of enumerating characteristics of Nim and Sharing Nim, including the number of zero nim positions.
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