Regular Polytopes (Dover Books on Mathematics)

Book Details:

• Author: H.S.M. Coxeter

• Publisher: Dover

• Edition: New

• Binding: Paperback

• Number of Pages: 321

• Release Date: 15-04-1974

• EAN: 9780486614809

• Package Dimensions: 8.5 x 5.5 x 0.8 inches

• Languages: English

About The Book:

Regular Polytopes by H.S.M. Coxeter is a definitive work on the study of polytopes, geometrical figures bounded by portions of lines, planes, or hyperplanes. The book offers a thorough exploration of polytopes in two and three dimensions, known respectively as polygons and polyhedra, as well as delving into the fascinating world of higher-dimensional polytopes.

Coxeter begins with the fundamental principles of plane and solid geometry, gradually moving to explore the complexities of multi-dimensional spaces. The book covers essential topics such as Euler’s formula, rotation groups, star-polyhedra, truncation, kaleidoscopes, and more, all with a strong historical perspective to guide the reader through the development of the field.

Whether for those with a deep interest in the mathematical intricacies of polytopes or simply for enthusiasts of aesthetically pleasing geometric shapes, this text offers valuable insights. Its clear explanations, abundant examples, and figures make it accessible for readers with basic knowledge of geometry and trigonometry.

Key Features:

• In-depth coverage of regular polyhedra and polytopes in both two and three dimensions.

• Advanced topics on multi-dimensional geometry, star-polytopes, and related concepts.

• Historical context that illustrates the development of mathematical ideas in polytope theory.

• Accessible for readers with elementary knowledge of geometry and trigonometry.

This book is a must-have for students and researchers in mathematics, physics, and fields related to geometry, as well as anyone interested in the beauty and symmetry of polytopes.