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Abstract regular polytopes

Author: Peter McMullen; Egon Schulte
Publisher: Cambridge ; New York : Cambridge University Press, 2002.
Series: Encyclopedia of mathematics and its applications.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Abstract regular polytopes are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties. This comprehensive up-to-date account of the subject meets a critical need for a text in this area; no book has been published in this topic since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974).
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Peter McMullen; Egon Schulte
ISBN: 0521814960 9780521814966 0511058675 9780511058677 0511073461 9780511073465
OCLC Number: 1055356199
Description: 1 online resource (xiii, 551 p. :) ill.
Contents: Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; 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; Bibliography; List of Symbols; Author Index; Subject Index.
Series Title: Encyclopedia of mathematics and its applications.
Responsibility: Peter McMullen, Egon Schulte.

Abstract:

Abstract regular polytopes are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties. This comprehensive up-to-date account of the subject meets a  Read more...

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'The book gives a comprehensive, complete overview of recent developments in a n important area of discrete geometry. it really fills an existing gap ... and it shows in an impressive manner the Read more...

 
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