2025/11/01 by Andreĭ Vesnin, A. Yu. Vesnin, A. A. Egorov · 1 citation
Materials Science · Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Quasicrystal Structures and Properties
paper · doi:10.1134/s0037446625060047
crossref issued 2025/11/01 · crossref published 2025/11/01 · crossref published-print 2025/11/01 · openalex publication_date 2025/11/01 · crossref published-online 2025/11/24 · crossref created 2025/11/24 · openalex created_date 2025/11/25 · crossref deposited 2026/04/05 · crossref indexed 2026/07/31 · openalex updated_date 2026/07/31
It is proved that among all right-angled Coxeter groups in three-dimensional hyperbolic space, the group generated by reflections in the faces of a right-angled triangular bipyramid has the smallest covolume. This bipyramid has three ideal and two finite vertices. The group is arithmetic, and its covolume is equal to Catalan’s constant G=0.915965… .