What is included with this book?
Preface | p. ix |
Introduction | p. 1 |
Leonhard Euler and His Three "Great" Friends | p. 10 |
What Is a Polyhedron? | p. 27 |
The Five Perfect Bodies | p. 31 |
The Pythagorean Brotherhood and Plato's Atomic Theory | p. 36 |
Euclid and His Elements | p. 44 |
Kepler's Polyhedral Universe | p. 51 |
Euler's Gem | p. 63 |
Platonic Solids, Golf Balls, Fullerenes, and Geodesic Domes | p. 75 |
Scooped by Descartes? | p. 81 |
Legendre Gets It Right | p. 87 |
A Stroll through Königsberg | p. 100 |
Cauchy's Flattened Polyhedra | p. 112 |
Planar Graphs, Geoboards, and Brussels Sprouts | p. 119 |
It's a Colorful World | p. 130 |
New Problems and New Proofs | p. 145 |
Rubber Sheets, Hollow Doughnuts, and Crazy Bottles | p. 156 |
Are They the Same, or Axe They Different? | p. 173 |
A Knotty Problem | p. 186 |
Combing the Hair on a Coconut | p. 202 |
When Topology Controls Geometry | p. 219 |
The Topology of Curvy Surfaces | p. 231 |
Navigating in n Dimensions | p. 241 |
Henri Poincaré and the Ascendance of Topology | p. 253 |
Epilogue: The Million-Dollar Question | p. 265 |
Acknowledgments | p. 271 |
Build Your Own Polyhedra and Surfaces | p. 273 |
Recommended Readings | p. 283 |
Notes | p. 287 |
References | p. 295 |
Illustration Credits | p. 309 |
Index | p. 311 |
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