## Mathematical SnapshotsNumerous photographs and diagrams help explain and illustrate mathematical phenomena in this series of thought-provoking expositions. Ranging from simple puzzles and games to more advanced problems, topics include the psychology of lottery players, the arrangement of chromosomes in a human cell, new and larger prime numbers, the fair division of a cake, how to find the shortest possible way to link a dozen locations by rail, and many other absorbing conundrums. A fascinating glimpse into the world of numbers and their uses. 1969 edition. 391 black-and-white illustrations. |

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### Contents

Triangles Squares and Games | 3 |

Rectangles Numbers and Tunes | 38 |

Weighing Measuring and Fair Division | 52 |

Tessellations Mixing of Liquids | 75 |

Shortest Paths Locating Schools | 111 |

Straight Lines Circles Symmetry | 139 |

Cubes Spiders Honeycombs and Bricks | 167 |

Platonic Solids Crystals | 191 |

SoapBubbles Earth and Moon | 214 |

Squirrels Screws Candles | 229 |

Surfaces Made of Straight Lines the Chain | 242 |

Board of Fortune Frogs Frestimen | 282 |

Notes | 297 |

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### Common terms and phrases

already angle arrow auxiliary triangle ball Black CATALOG OF DOVER cent chess chessboard choose circle circle of Apollonius circumference closed curve coins colors compute cone connected cube cylinder diagonal distance divide division dodecahedron DOVER BOOKS draw E. A. Wallis Budge edge equal equilateral triangle faces figure fraction given gives grains GUSTAV STICKLEY halve hexagon horizontal illustrations inches instance intersection knot lattice length logarithmic spiral loxodrome Mathematical mathematical induction maximum rides meridians method Mobius band Morris Kline Ngandong nomogram number of moves objects obtain orthodrome parallel partners path photographs plane players polygon position possible problem projection proof proved radius ratio reader rectangle regular rhombus rule scale segment shape sheet ships shortest shows sides sketch solution sphere spiral square Steinhaus straight line surface tent tessellation tetrahedron theorem tickets tion vertex vertices vessel weighing White