## Mathematical Mind-BendersPeter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur's Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The puzzles in this collection include an eclectic collection of twists on old favorites, “severe” difficulty puzzles, and puzzles that were recently solved or remain unsolved. This book is for lovers of mathematics, lovers of puzzles, lovers of a challenge.Most of all, it is for those who think that the world of mathematics is orderly, logical, and intuitive—and are ready to learn otherwise! |

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### Contents

Preface | 1 |

Numerical Conundrums | 21 |

The Adventures of Ant Alice | 35 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

Alice Alice's ants average Axiom of Choice bagels blue dots bricks cake Cher circle coin color compute configuration cover curve cycle diagonal dice digit Dot-town drop east-facing edges eggs Elwyn Elwyn Berlekamp exactly example expected number faced west facing east Figure finitely flags flips follows Georgia Tech graph grid guess gumdrops Harvey Friedman Hendrik Lenstra HIPE hypercube I. J. Schoenberg induction infected integer intersection Isolde Jeremy least losing positions Louise mathematician mathematics maximum number Mobius band neighbors nice devil Noga Alon number of collisions odd number overhang pair permutation plane player points polygon polynomial possible prisoners probability problem proof prove puzzle random answerer real number rectangle sequence Shrek Sonny Sonny and Cher Sources and Solutions square Stan Wagon subadditivity subset Suppose theorem triangle Tristan USA Mathematical Olympiad vertex vertices west end