Year: 2005
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Kangaslampi, Riikka, Vdovina, Alina
Institution: Newcastle University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950008235