Books by Peter (University College London) McMullen

Regular polytopes and their symmetry have a long history. This book, the first to cover modern theory, explores the subject in depth, introducing new techniques and elementary approaches to familiar ideas. It caters for experienced researchers and also for graduate students in discrete and Euclidean geometry, combinatorics and group theory.

Abstract regular polytopes are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties. This comprehensive up-to-date account of the subject meets a critical need for a text in this area; no book has been published in this topic since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974).