Abstract Regular Polytopes

Discover the fascinating world of Abstract Regular Polytopes by Peter McMullen, published by Cambridge University Press in 2002. This hardback edition spans an impressive 566 pages and provides a comprehensive and up-to-date exploration of highly symmetric combinatorial structures that possess unique geometric, algebraic, and topological properties. As the first significant text on this subject since Coxeter's influential works, Regular Polytopes (1948) and Regular Complex Polytopes (1974), McMullen's book fills a critical gap in the literature. Ideal for researchers and students alike, this title is essential for anyone interested in the fields of geometry, combinatorics, and mathematical analysis. Dive into the intricate study of polytopes and enhance your understanding of this captivating area of mathematics.