Abstract regular polytopes / Peter McMullen, Egon Schulte.

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than trad...

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Bibliographic Details
Online Access: Full Text (via Cambridge)
Main Author: McMullen, Peter, 1942-
Other Authors: Schulte, Egon, 1955-
Format: Electronic eBook
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2002.
Series:Encyclopedia of mathematics and its applications.
Subjects:
Table of Contents:
  • Machine generated contents note: 1. Classical Regular Polytopes
  • 2. Regular Polytopes
  • 3. Coxeter Groups
  • 4. Amalgamation
  • 5. Realizations
  • 6. Regular Polytopes on Space-Forms
  • 7. Mixing
  • 8. Twisting
  • 9. Unitary Groups and Hermitian Forms
  • 10. Locally Toroidal 4-Polytopes: I
  • 11. Locally Toroidal 4-Polytopes: II
  • 12. Higher Toroidal Polytopes
  • 13. Regular Polytopes Related to Linear Groups
  • 14. Miscellaneous Classes of Regular Polytopes.