Regular Polytopes by Hsm Coxeter

Regular Polytopes by Hsm Coxeter

Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes, icosahedra, and many more; the possibilities, in fact, are infinite H. S. M. Coxeter's book is the foremost book available on regular polyhedra, incorporating not only the ancient Greek work on the subject, but also the vast amount of information that has been accumulated on them since, especially in the last hundred years. The author, professor of Mathematics, University of Toronto, has contributed much valuable work himself on polytopes and is a well-known authority on them.
Professor Coxeter begins with the fundamental concepts of plane and solid geometry and then moves on to multi-dimensionality. Among the many subjects covered are Euler's formula, rotation groups, star-polyhedra, truncation, forms, vectors, coordinates, kaleidoscopes, Petrie polygons, sections and projections, and star-polytopes. Each chapter ends with a historical summary showing when and how the information contained therein was discovered. Numerous figures and examples and the author's lucid explanations also help to make the text readily comprehensible. Although the study of polytopes does have some practical applications to mineralogy, architecture, linear programming, and other areas, most people enjoy contemplating these figures simply because their symmetrical shapes have an aesthetic appeal. But whatever the reasons, anyone with an elementary knowledge of geometry and trigonometry will find this one of the best source books available on this fascinating study.

Harold Scott MacDonald Donald Coxeter, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, CC, FRS, FRSC, Coxeter is regarded as one of the twentieth century's greatest geometers. He was born in London and earned his BA and PhD from Cambridge, but he moved to Canada when he was 29 years old.

SKU	Non disponible
ISBN 13	9780486614809
ISBN 10	0486614808
Titre	Regular Polytopes
Auteur	Hsm Coxeter
Série	Dover Books On Mathema 14tics
État	Non disponible
Type de reliure	Paperback
Éditeur	Dover Publications Inc.
Année de publication	2003-03-28
Nombre de pages	321
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible