Geometric Regular Polytopes

ISBN-13: 9781108489584 / Angielski / Twarda / 2020 / 619 str.

Peter McMullen

Opis

The first comprehensive account of modern geometric theory and its applications, written by a leader in the field.

Recenzje

'The book is without a doubt a modern bible on the current state of polytopes. It is no exaggeration to say that 'all of it' can be found in this book …' Peter McMullen, Nieuw Archief voor Wiskunde

Spis treści

Foreword; Part I. Regular Polytopes: 1. Euclidean space; 2. Abstract regular polytopes; 3. Realizations of symmetric sets; 4. Realizations of polytopes; 5. Operations and constructions; 6. Rigidity; Part II. Polytopes of Full Rank: 7. Classical regular polytopes; 8. Non-classical polytopes; Part III. Polytopes of Nearly Full Rank: 9. General families; 10. Three-dimensional apeirohedra; 11. Four-dimensional polyhedra; 12. Four-dimensional apeirotopes; 13. Higher-dimensional cases; Part IV. Miscellaneous Polytopes: 14. Gosset–Elte polytopes; 15. Locally toroidal polytopes; 16. A family of 4-polytopes; 17. Two families of 5-polytopes; Afterword; References; Symbol index; Author index; Subject index.