Nim vs Sprouts
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Nim
Nim is a mathematical strategy game in which two players alternately remove one or more objects from a single pile among several piles. Under the standard normal-play rule, the player taking the final object wins, and optimal play can be determined by computing the binary exclusive-or, or nim-sum, of the pile sizes. Charles L. Bouton published a complete analysis in 1901, making Nim a foundational...
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Sprouts
Sprouts is a pencil-and-paper mathematical game devised by John Horton Conway and Michael Paterson at the University of Cambridge in 1967. Players alternately join existing spots with noncrossing curves, placing one new spot on each curve; no spot may have more than three incident line ends. The game always terminates because each move consumes available connectivity, but choosing moves can produc...
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