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The Sprague-Grundy function of the game Euclid. (English) Zbl 1201.91020


MSC:

91A46 Combinatorial games
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References:

[1] E.R. Berlekamp, J.H. Conway, R.K. Guy, Winning Ways for Your Mathematical Plays, second ed., vol. 1, AK Peters, Natick, MA, 2001.; E.R. Berlekamp, J.H. Conway, R.K. Guy, Winning Ways for Your Mathematical Plays, second ed., vol. 1, AK Peters, Natick, MA, 2001. · Zbl 1005.00004
[2] Cole, A. J.; Davie, A. J.T., A game based on the Euclidean algorithm and a winning strategy for it, Math. Gaz., 53, 354-357 (1969) · Zbl 0186.25303
[3] Grossman, J. W., Problem #1537, Math. Mag., 70, 382 (1997)
[4] Lengyel, T., A nim-type game and continued fractions, Fibonacci Quart., 41, 4, 310-320 (2003) · Zbl 1046.05500
[5] Spitznagel, E. L., Properties of a game based on Euclid’s algorithm, Math. Mag., 46, 87-92 (1973) · Zbl 0268.90067
[6] Straffin, P. D., A nim-type game, solution to problem #1537, Math. Mag., 71, 394-395 (1998)
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