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math.CO2010
Nimbers are inevitable
Julien Lemoine, Simon Viennot
This article concerns the resolution of impartial combinatorial games, and in particular games that can be split in sums of independent positions. We prove that in order to compute…
math.CO2010★ 6 cited
Computer analysis of Sprouts with nimbers
Julien Lemoine, Simon Viennot
Sprouts is a two-player topological game, invented in 1967 in the University of Cambridge by John Conway and Michael Paterson. The game starts with p spots, and ends in at most 3p-…