Geometric Regular Polytopes

Geometric Regular Polytopes

McMullen, Peter

Cambridge University Press

02/2020

619

Dura

Inglês

9781108489584

15 a 20 dias

1100

Descrição não disponível.
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.
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polytope; abstract; regular; realization; rank; dimension; reflexion group; simple group