2005/06/30 by Riikka Kangaslampi, Kangaslampi, Riikka, Alina Vdovina +1
Computer Science · Engineering · Mathematics · #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric and Algebraic Topology #Structural Analysis and Optimization #math.CO
paper · pdf · doi:10.48550/arxiv.math/0506613
arxiv created 2005/06/30 · openalex publication_date 2005/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct triangular hyperbolic polyhedra whose links are generalized 4-gons. The universal cover of those polyhedra are hyperbolic buildings, which appartments are hyperbolic planes tesselated by regular triangles with angles π/4. Moreover, the fundamental groups of the polyhedra acts simply transitively on vertices of the buildings.