In this presentation we investigate a variation of the combinatorial, impartial game of Nim that, in addition to selecting from one of two piles of stones on each turn, also uses a system of divisors to define what selections are possible. We begin with an overview, winning strategies, and a history. For games of Divisor Nim, we determine the amount in each pile, find the proper divisors of each value, and discover new winning strategies for this unique Nim adaptation.
Wallace, Katherine and Cote, Ben, "The Greatest Game Ever Played" (2021). Academic Excellence Showcase Proceedings. 304.
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