Regular Polytopes

by H.S.M. Coxeter

Foremost book available on polytopes, incorporating ancient Greek and most modern work done on them. Beginning with polygons and polyhedrons, the book moves on to multi-dimensional polytopes in a way that anyone with a basic knowledge of geometry and trigonometry can easily understand. Definitions of symbols. Eight tables plus many diagrams and examples. 1963 edition.

Genres: Mathematics, Geometry, Reference

567 pages, Kindle Edition

First published June 1, 1973

About the author

Harold Scott MacDonald "Donald" Coxeter (1907-2003), CC, FRS, FRSC was a British and later also Canadian geometer. He is regarded as one of the greatest geometers of the 20th century.

Reviews

[Chris · Rating 4 out of 5]

Non-mathematicians would be surprised to learn about Coxeter's kaleidoscope of high-dimensional crystals.

For mathematicians this is a must-own.

By the way, Coxeter was racist.

[Røbert · Rating 3 out of 5]

I bought this from an interest in pattern and polyhedra as it is an established classic, delving into higher dimensions. I can't deny that it is classic and definitive, but it is very much a textbook aimed at those doing maths as a career or postgraduate study. For my purposes, half an hour on wikipedia was more fruitful to get a practical on-hands overview of higher dimensional polytopes.

[Ted]

Great book on multidimensional geometry!

[James Jennings · Rating 5 out of 5]

A rather dry and dense mathematics text, with lots of information not available in any other single source. I loved it.

[Yashwant Chauhan · Rating 5 out of 5]

For this alone: "... in attempting to do so, however, we seem to peep through a chink in the wall of our physical limitations, into a new world of dazzling beauty. Such an escape from the turbulence of ordinary life will perhaps help to keep us sane."

[Mi Lia · Rating 5 out of 5]

A classic.