## Euler's Gem: The Polyhedron Formula and the Birth of TopologyLeonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, |

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#### LibraryThing Review

User Review - ztutz - LibraryThingThis book is a very well written and easy to read introduction to why topology exists. The central theme of the book is Euler's polyhedron formula, which is so simple that anyone who knows how to ... Read full review

it gets 5 stars from me

### Contents

1 | |

chapter1 | 10 |

chapter2 | 27 |

chapter3 | 31 |

chapter4 | 36 |

chapter5 | 44 |

chapter6 | 51 |

chapter7 | 63 |

chapter17 | 173 |

chapter18 | 186 |

chapter19 | 202 |

chapter20 | 219 |

chapter21 | 231 |

chapter22 | 241 |

chapter23 | 253 |

epilogue | 265 |

chapter8 | 75 |

chapter9 | 81 |

chapter10 | 87 |

chapter11 | 100 |

chapter12 | 112 |

chapter13 | 119 |

chapter14 | 130 |

chapter15 | 145 |

chapter16 | 156 |

ack | 271 |

AppendixA | 273 |

AppendixB | 283 |

Notes | 287 |

295 | |

illcredits | 309 |

311 | |

### Other editions - View all

Euler's Gem: The Polyhedron Formula and the Birth of Topology David S. Richeson Limited preview - 2008 |

Euler's Gem: The Polyhedron Formula and the Birth of Topology David S. Richeson Limited preview - 2008 |