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