Chapter 5. A Very Short Course in Projective Geometry

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface ix
4. Acknowledgments xiii
5. Part One. Past Uses of the Projective Model
6. Chapter 1. The Origins of Four-Dimensional Geometry 3
7. Chapter 2. Fantasies of Four-Dimensional Space 19
8. Chapter 3. The Fourth Dimension in Painting 28
9. Chapter 4. The Truth 41
10. Entr’acte 51
11. Chapter 5. A Very Short Course in Projective Geometry 53
12. Part Two. Present Uses of the Projective Model
13. Chapter 6. Patterns, Crystals, and Projections 61
14. Chapter 7. Twistors and Projections 72
15. Chapter 8. Entanglement, Quantum Geometry, and Projective Reality 83
16. Chapter 9. Category Theory, Higher-Dimensional Algebra, and the Dimension Ladder 93
17. Chapter 10. The Computer Revolution in Four- Dimensional Geometry 105
18. Chapter 11. Conclusion: Art, Math, and Technical Drawing 114
19. Appendix 119
20. Notes 121
21. Bibliography 125
22. Index 129