Wythoff's Game

A game played with two heaps of counters in which a player may take any number from either heap or the same numberfrom both. The player taking the last counter wins. The th Safe combination is , where, with the Golden Ratio and the Floor Function. It is also truethat . The first few Safe combinations are (1, 2), (3, 5), (4, 7), (6, 10), ....

References

Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 39-40, 1987.

Coxeter, H. S. M. ``The Golden Section, Phyllotaxis, and Wythoff's Game.'' Scripta Math. 19, 135-143, 1953.

O'Beirne, T. H. Puzzles and Paradoxes. Oxford, England: Oxford University Press, pp. 109 and 134-138, 1965.

• Cauchy Integral Formula
• Cauchy Integral Test
• Cauchy Integral Theorem
• Cauchy-Kovalevskaya Theorem
• Cauchy-Lagrange Identity
• Cauchy-Maclaurin Theorem
• Cauchy Mean Theorem
• Cauchy Principal Value
• Cauchy Problem
• Cauchy Ratio Test
• Cauchy Remainder Form
• Cauchy-Riemann Equations
• Cauchy Root Test
• Cauchy-Schwarz Integral Inequality
• Cauchy-Schwarz Sum Inequality
• Cauchy's Cosine Integral Formula
• Cauchy Sequence
• Cauchy's Formula
• Cauchy's Rigidity Theorem
• Cauchy Test
• Caustic
• Cavalieri's Principle
• Cayley Algebra
• Cayley-Bacharach Theorem
• Cayley Cubic