Skip to content
Register Sign in Wishlist
Abstract Regular Polytopes

Abstract Regular Polytopes

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: March 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521814966

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

Please email academicmarketing@cambridge.edu.au to enquire about an inspection copy of this book

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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 traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.

    • First comprehensive account of the modern theory of regular polytopes and their groups
    • Attractive interplay of several mathematical areas including geometry, combinatorics, group theory and topology
    • First book in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974)
    Read more

    Reviews & endorsements

    '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 interplay between the different methods that are important in this field. It can be strongly recommended to researchers and graduate students working in geometry, combinatorics and group theory.' Bulletin of the London Mathematical Society

    'This book should be properly seen as the primary reference for the theory of abstract polytopes, especially of abstract regular polytopes … The book is very comprehensive and deep in its coverage of the topic. Almost everything known about abstract regular polytopes until the date of publication may be found somewhere within its 551 pages.' Zentralblatt MATH

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2003
    • format: Hardback
    • isbn: 9780521814966
    • length: 566 pages
    • dimensions: 241 x 164 x 33 mm
    • weight: 0.97kg
    • contains: 65 b/w illus. 23 tables
    • availability: Available
  • Table of Contents

    Foreword
    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
    Indices.

  • Authors

    Peter McMullen, University College London

    Egon Schulte, Northeastern University, Boston

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×