Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Books
  3. Geometric Regular Polytopes
  • Cited by 4
Publisher:
Cambridge University Press
Online publication date:
January 2020
Print publication year:
2020
Online ISBN:
9781108778992
DOI:
https://doi.org/10.1017/9781108778992
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
Series:
Encyclopedia of Mathematics and its Applications (172)
Information

Book description

Regular polytopes and their symmetry have a long history stretching back two and a half millennia, to the classical regular polygons and polyhedra. Much of modern research focuses on abstract regular polytopes, but significant recent developments have been made on the geometric side, including the exploration of new topics such as realizations and rigidity, which offer a different way of understanding the geometric and combinatorial symmetry of polytopes. This is the first comprehensive account of the modern geometric theory, and includes a wide range of applications, along with new techniques. While the author explores the subject in depth, his elementary approach to traditional areas such as finite reflexion groups makes this book suitable for beginning graduate students as well as more experienced researchers.

Reviews

‘McMullen (emer., University College London) begins the text with a rapid, cogent review of relevant topics in linear algebra and group theory and proceeds to a thorough discussion of the properties and structures of geometric and abstract regular polytopes. The majority of the text details the classification and properties of geometric regular polytopes … This is a careful, comprehensive survey of the topic and will likely become a classic reference.’

C. A. Gorini Source: Choice

‘This book, along with his previous book … is well-written and indispensable for every researcher or every student who wants to pursue research in this area.’

Uma Kant Sahoo Source: Encyclopedia of Mathematics and its Applications

‘The book is without a doubt a modern bible on the current state of polytopes. It is no exaggeration to say that 'all of it' can be found in this book …’

Peter McMullen Source: Nieuw Archief voor Wiskunde

‘Whether you are an experienced researcher in the subject, a mathematician seeking to expand their research interests to include this subject area, or a student beginning their polytopal journey, this book is a great source of knowledge on the geometric perspective of regular polytopes.’

Andrés R. Vindas-Meléndez Source: MathSciNet

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents

Metrics

Altmetric attention score

Usage data cannot currently be displayed.