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3-space acrostic amicable answer binary called cards Chapter chess chessboard closed tour color column combinatorial corner counting cross-lights crossword cube deck dice digital root digits discovered divisors double acrostic dragon curve equal exist face factorials five formula four game theory Golomb graph h edges half-decade half-twists hand heptomino hexagon hexomino hole integers John Archibald Wheeler Klarner knight's tour knights known lower fingers Martin Gardner Mathematical mathematician Mersenne primes Mobius band Mobius strip multiple null set number of different number of moves odd number order-2 pairs particles pattern payoff pentominoes perfect number perimeter permutations pieces play polygons Polyominoes possible probability problem proved puzzle random reader Recreational Mathematics rectangle Scientific American second player shown in Figure shows side soldier solution space square strategy symbols tetraboloes tetromino tion topological tree triangles turn universe words zero