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4 Constructing the Regular Pentagon
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Chapters in this book
- Frontmatter i
- CONTENTS vii
- PREFACE. Why the Pentagon? ix
- 1 Five 1
- 2 φ 14
- 3 But Is It Divine? 26
- 4 Constructing the Regular Pentagon 38
- 5 The Pentagram 58
- 6 Pentastars 71
- 7 Tessellations 88
- 8 The Discovery of Fivefold Symmetry in Crystals 103
- 9 Oh, That Pentagon 119
- A The Elementary Euclidean Constructions 133
- B Three Properties of the Fibonacci Numbers 135
- C A Proof That There Exist Only Five Platonic Solids 141
- D Summary of Formulas 147
- E Solutions to Puzzles 151
- BIBLIOGRAPHY 157
- CREDITS 159
- INDEX 163
Chapters in this book
- Frontmatter i
- CONTENTS vii
- PREFACE. Why the Pentagon? ix
- 1 Five 1
- 2 φ 14
- 3 But Is It Divine? 26
- 4 Constructing the Regular Pentagon 38
- 5 The Pentagram 58
- 6 Pentastars 71
- 7 Tessellations 88
- 8 The Discovery of Fivefold Symmetry in Crystals 103
- 9 Oh, That Pentagon 119
- A The Elementary Euclidean Constructions 133
- B Three Properties of the Fibonacci Numbers 135
- C A Proof That There Exist Only Five Platonic Solids 141
- D Summary of Formulas 147
- E Solutions to Puzzles 151
- BIBLIOGRAPHY 157
- CREDITS 159
- INDEX 163