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Geometric regular polytopes / Peter McMullen

Author
McMullen, Peter, 1942-
Published
Cambridge : Cambridge University Press, 2020.
Physical Description
1 online resource (xi, 603 pages) : digital, PDF file(s).
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Series
Contents
Euclidean space -- Abstract regular polytopes -- Realizations of symmetric sets -- Realizations of polytopes -- Operations and constructions -- Rigidity -- Classical regular polytopes -- Non-classical polytopes -- General families -- Three-dimensional apeirohedra -- Four-dimensional polyhedra -- Four-dimensional apeirotopes -- Higher-dimensional cases -- Gosset-Elte polytopes -- Locally toroidal polytopes -- A family of 4-polytopes -- Two families of 5-polytopes.
Summary
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.
Subject(s)
ISBN
9781108778992 (ebook)
9781108489584 (hardback)
Note
Title from publisher's bibliographic system (viewed on 29 Jan 2020).
View MARC record | catkey: 34828097