12. The Coxeterian Shapes of the Cosmos

Kapitel in diesem Buch

1. Frontmatter i
2. Dedication v
3. Quote vii
4. Contents viii
5. FOREWORD: Some Personal Reminiscences of Donald Coxeter xi
6. PART I: Pure Coxeter
7. 0. Introducing Donald Coxeter 1
8. 1. Mr. Polytope Goes to Budapest 17
9. 2. Young Donald in Wonderland 37
10. 3. Aunt Alice, and the Cambridge Cloister 59
11. 4. Coming of Age at Princeton with the Gods of Symmetry 81
12. 5. Love, Loss, and Ludwig Wittgenstein 105
13. 6. “Death to Triangles!” 117
14. 7. Tangents on Politics and Family Values 139
15. 8. Bourbaki Prints a Diagram 150
16. PART II: Coxeter Applied
17. 9. Bucky Fuller, and Bridging the “Geometry Gap” 173
18. 10. C₆₀, Immunoglobulin, Zeolites, and Coxeter@Coxeter.Math.Toronto.Edu 194
19. 11. “Coxetering” with M. C. Escher (And Praising Other Artists) 211
20. 12. The Coxeterian Shapes of the Cosmos 230
21. PART III: Aftermath
22. 13. Full Circle Symmetry 249
23. Appendices
24. 1. Fibonacci and Phyllotaxis 259
25. 2. Schläfli Symbols of The 3-D and 4-D Regular Polytopes 261
26. 3. Coxeter Diagrams 262
27. 4. Coxeter Groups 263
28. 5. Morley’s Miracle 265
29. 6. Freeman Dyson on “Unfashionable Pursuits” 268
30. 7. Crystallography and Penrose Toilet Paper 272
31. 8. The Mathematical Publications of H. S. M. Coxeter 275
32. Endnotes 289
33. Bibliography 363
34. Epigraph and Art Credits 377
35. Acknowledgments 381
36. Index 385