Polyhedra
Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics as well as those more interested in the mathematics itself, will find this unique book fascinating.
- Highly illustrated and includes interesting and entertaining historical digressions
- Useful reference book
- Hardback sold over 1700 copies by January 1998
Reviews & endorsements
"The major virtue of the book is that the author has managed to find many interesting paths in mathematics not often traveled." Notices of the AMS
This remarkable book goes far beyond the superficial, providing a solid and fascinating account of the history and mathematics of polyhedra... It is likely to become the classic book on the topic. ...a wonderful book worthy of many readings. It belongs in every university library, and on most mathematicians' book shelves." MAA Online
Product details
September 1999Paperback
9780521664059
476 pages
247 × 175 × 26 mm
0.993kg
16 colour illus.
Available
Table of Contents
- Introduction
- 1. Indivisible, inexpressible and unavoidable
- 2. Rules and regularity
- 3. Decline and rebirth of polyhedral geometry
- 4. Fantasy, harmony and uniformity
- 5. Surfaces, solids and spheres
- 6. Equality, rigidity and flexibility
- 7. Stars, stellations, and skeletons
- 8. Symmetry, shape and structure
- 9. Counting, colouring and computing
- 10. Combination, transformation and decoration
- Appendices.