Kapitel in diesem Buch

1. Frontmatter i
2. CONTENTS vii
3. PREFACE. Why the Pentagon? ix
4. 1 Five 1
5. 2 φ 14
6. 3 But Is It Divine? 26
7. 4 Constructing the Regular Pentagon 38
8. 5 The Pentagram 58
9. 6 Pentastars 71
10. 7 Tessellations 88
11. 8 The Discovery of Fivefold Symmetry in Crystals 103
12. 9 Oh, That Pentagon 119
13. A The Elementary Euclidean Constructions 133
14. B Three Properties of the Fibonacci Numbers 135
15. C A Proof That There Exist Only Five Platonic Solids 141
16. D Summary of Formulas 147
17. E Solutions to Puzzles 151
18. BIBLIOGRAPHY 157
19. CREDITS 159
20. INDEX 163