Synopses & Reviews
Polyhedra have cropped up in many different guises throughout recorded history. Recently, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This unique text 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 rigorous treatment of the mathematics involved. Attractively illustrated--including 16 color plates--Polyhedra elucidates ideas that have proven difficult to grasp. Mathematicians, as well as historians of mathematics, will find this book fascinating.
"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 AMSThis 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
This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics.
Includes bibliographical references (p. -438) and indexes.
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.