Table of Contents

Forward
Preface
Part I. Incidence: Introduction
Section 1. Incidence and Graph Theory:
1. Topological transformations
2. Basic graph theory
3. Directed graphs
4. Traversability
5. Distance
Section II. Incidence in the Plane:
6. Maps
7. Planar graphs
8. Euler's formula
9. Polyhedra
Section III. Further Applications of Graph Theory:
10. Bracing structures
11. Optimal route design
12. Mean distance
13. Triangulations and organization graphs
Section IV. Topology of Surfaces:
14. Surfaces
15. Maps on surfaces
16. Tesselations of the plane
17. Compact surfaces
Part II. Symmetry: Introduction
Section V. Symmetry and Group Theory:
18. Planar isometries
19. Basic group theory
20. Reflections on the plane
21. The isometry group of the plane
Section VI. Symmetry in the Plane:
22. Discrete groups
23. The circular groups
24. The frieze groups
25. The wallpaper groups
Section VII. Symmetry in Space:
26. Space isometries
27. Discrete space groups
28. The layer groups
29. the rod groups
Section VIII. Symmetry and Enumeration:
30. A combinational approach to symmetry
31. Graph symmetry
32. Enumeration
33. Fundamental architectural arrangements revisited
Bibliography
Indices.

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• Table of Contents (71 KB)
• Copyright Information Page (71 KB)
• Index (257 KB)
• Front Matter (384 KB)
• Marketing Excerpt (564 KB)