Abstract Regular Polytopes (Encyclopedia of Mathematics and its Applications Book 92) 1st Edition by Peter McMullen (PDF)

Description

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter’s Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is a must-have for anyone serious about research in the field of abstract polytopes. The main thread of the book follows, as might be expected, the main thread of the authors’ research up until the date of the book’s publication. For this reason, it may underemphasise the work of other researchers in the field – although, at the time of the book’s publication at least, McMullen and Schulte were indeed the leading researchers, so the view of the field is not too imbalanced.Note that since the book’s publication, there have been huge advances in the field of abstract polytopes. Don’t expect a book from 2003 to be up-to-date for 2015!

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Abstract Regular Polytopes (Encyclopedia of Mathematics and its Applications Book 92) 1st Edition 2002 PDF Free Download
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