Polyhedra : one of the most charming chapters of geometry

Bibliographic Information

Polyhedra : one of the most charming chapters of geometry

Peter R. Cromwell

Cambridge University Press, c1997

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Note

Includes bibliographical references and indexes

Description and Table of Contents

Description

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.

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.

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Details

  • NCID
    BA30628611
  • ISBN
    • 0521554322
  • LCCN
    96009420
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge ; New York
  • Pages/Volumes
    xiii, 451 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
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