## Hexaflexagons and Other Mathematical Diversions: The First Scientific American Book of Puzzles and GamesThese clearly and cleverly presented mathematical recreations of paradoxes and paperfolding, Moebius variations and mnemonics both ancient and modern delight and perplex while demonstating principles of logic, probability, geometry, and other mathematical fields. "A classic."—Andrew Rothery, Times Education Supplement"Martin Gardner has turned a trick as neat as any in the book itself. He has selected a group of diversions which are not only entertaining but mathematically meaningful as well. The result is a work which is rewarding on almost every level of mathematical achievement."—Miriam Hecht, Iscripta Mathematica |

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### Contents

II | 1 |

III | 15 |

IV | 23 |

V | 37 |

VI | 47 |

VII | 55 |

VIII | 63 |

X | 73 |

XIII | 102 |

XIV | 110 |

XV | 124 |

XVI | 141 |

XVII | 151 |

XVIII | 162 |

XIX | 174 |

XX | 187 |

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### Common terms and phrases

asymmetric binary numbers Book cell chain chapter chess closed curves color column corner counters cube deck diagonally digits disks draw edges example Fifteen Puzzle five flexagon flexing folded four Golomb Hamiltonian path hand Harry Lorayne Hein Hempel's paradox hexa hexaflexagons hexagon hexahexa hexahexaflexagon hexominoes hypercube knotted labeled liar linked Loyd Loyd's machine Magazine magic square magician Martin Gardner mathe mathematician matics matrix memory minimum number mirror image Mnemonics Moebius band monomino number alphabet number of moves odd number paper paradox pattern pennies pentominoes pieces play Polyominoes position probability problem puzzle readers rectangle reversed Sam Loyd Scientific American second player shown in Figure side simple solution solved spectator stack strategy strip surface Tac Tix tetromino ticktacktoe topological torus Tower of Hanoi triangle trick trominoes Tuckerman traverse wires words