Nim vs Sprouts
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Nim
Several piles of objects are enough to play Nim, a two-player mathematical strategy game with fully visible information. On each turn, a player removes one or more objects from a single pile. Under normal play, taking the final object wins. The rules are brief, but choosing how many objects to remove can require reasoning about the entire position rather than concentrating on the largest pile.
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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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