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Polyhedra

Polyhedra

Polyhedra

Peter R. Cromwell, University of Liverpool
September 1999
Available
Paperback
9780521664059
$75.99
USD
Paperback

    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

    See more reviews

    Product details

    September 1999
    Paperback
    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.
    Resources for
    Type
    Author's website
    Colour Plate Section
    Size: 12.52 MB
    Type: application/pdf
      Author
    • Peter R. Cromwell , University of Liverpool