Regular Complex Polytopes

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For geometry lovers chasing higher-dimensional beauty

This is the kind of math book that makes abstract shapes feel strangely vivid and elegant. Coxeter leads you from familiar regular solids into a richer world of complex polyhedra, connecting them to patterns, symmetry, and geometry in ways that feel both rigorous and full of wonder. If you enjoy books that reward curiosity and make advanced ideas feel like discoveries, this one has a lasting, cult-classic appeal.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

Regular Complex Polytopes

Regular price
Unit price
per
Compare to estimated retail price: S$75.00  
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ISBN: 9780521394901
Authors: H.S.M. Coxeter
Date of Publication: 1991-04-26
Format: Hardcover
Related Collections: Science, Art
Goodreads rating: 4.86
(rated by 7 readers)

Description

The properties of regular solids exercise a fascination which often appeals strongly to the mathematically inclined, whether they are professionals, students or amateurs. In this classic book H.S.M. Coxeter explores these properties in easy stages, introducing the reader to complex polyhedra (a beautiful generalization of regular solids derived from complex numbers) and unexpected relationships with concepts from various branches of magic squares, frieze patterns, kaleidoscopes, Cayley diagrams, Clifford surfaces, crystallographic and non-crystallographic groups, kinematics, spherical trigonometry, and algebraic geometry. In the latter half of the book, these preliminary ideas are put together to describe a natural generalization of the Five Platonic Solids. This updated second edition contains a new chapter on Almost Regular Polytopes, with beautiful 'abstract art' drawings. New exercises and discussions have been added throughout the book, including an introduction to Hopf fibration and real representations for two complex polyhedra.
 

For geometry lovers chasing higher-dimensional beauty

This is the kind of math book that makes abstract shapes feel strangely vivid and elegant. Coxeter leads you from familiar regular solids into a richer world of complex polyhedra, connecting them to patterns, symmetry, and geometry in ways that feel both rigorous and full of wonder. If you enjoy books that reward curiosity and make advanced ideas feel like discoveries, this one has a lasting, cult-classic appeal.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.