Regular Complex Polytopes - Hardcover

Coxeter, H. S. M.

Hardcover

ISBN 10: 0521394902 ISBN 13: 9780521394901

Verlag: Cambridge University Press, 1991

Inhaltsangabe

The properties of polytopes, the four-dimensional analog of polyhedra, exercise an intellectual fascination that appeals strongly to the mathematically inclined, whether they are professionals, students or amateurs. In this classic book, Professor Coxeter explores these properties in easy stages introducing the reader to complex polytopes (a beautiful generalization of regular solids derived from complex numbers) and the unexpected relationships that complex polytopes have with concepts from various branches of mathematics. In the first half of the book the author discusses magic squares, frieze patterns, kaleidoscopes, Cayley diagrams, Clifford surfaces, non-crystallographic groups, kinematics, spherical trigonometry, and algebraic geometry. Later these ideas are assembled to describe a natural generalization of the Five Platonic Solids. The fully updated second edition contains a new chapter on "Almost Regular Polytopes" and beautiful abstract art drawings. In addition, new exercises and discussions, including an introduction to Hopf fibration and real representations for two complex polyhedra, supplement the text.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 1991
• Sprache: Englisch
• ISBN 10: 0521394902
• ISBN 13: 9780521394901
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 224
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Frankreich