Scissors congruence, the golden ratio and volumes in hyperbolic 5-space
| Autor: | Ruth Kellerhals |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Simplex
010102 general mathematics Hyperbolic manifold Polytope 01 natural sciences Relatively hyperbolic group 010305 fluids & plasmas Theoretical Computer Science Apéry's constant Combinatorics Computational Theory and Mathematics 0103 physical sciences Discrete Mathematics and Combinatorics Congruence (manifolds) Mathematics::Metric Geometry Golden ratio Geometry and Topology Ideal (ring theory) 0101 mathematics Mathematics |
| Zdroj: | Discrete & Computational Geometry |
| Popis: | By different scissors congruence techniques a number of dissection identities are presented between certain quasi-Coxeter polytopes, whose parameters are related to the golden section, and an ideal regular simplex in hyperbolic 5-space. As a consequence, several hyperbolic polyhedral 5-volumes can be computed explicitly in terms of Apery’s constant ζ(3) and the trilogarithmic value **image**. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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