Geometric Regular Polytopes

Download or Read eBook Geometric Regular Polytopes PDF written by Peter McMullen and published by Cambridge University Press. This book was released on 2020-02-20 with total page 617 pages. Available in PDF, EPUB and Kindle.
Geometric Regular Polytopes
Author :
Publisher : Cambridge University Press
Total Pages : 617
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ISBN-10 : 9781108788311
ISBN-13 : 1108788319
Rating : 4/5 (11 Downloads)

Book Synopsis Geometric Regular Polytopes by : Peter McMullen

Book excerpt: 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.


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