English

Hexagonal Geometric Triangulations

Geometric Topology 2022-04-27 v2

Abstract

It is well-known that the Euclidean plane has a standard 6-regular geodesic triangulation , and the unit sphere has a 5-regular geodesic triangulation, which is induced from the regular Dodecahedron, and the hyperbolic plane has an n-regular geodesic triangulation for any n > 6. Here we constructed a 6-regular geodesic triangulation of the hyperbolic plane.

Keywords

Cite

@article{arxiv.2204.10791,
  title  = {Hexagonal Geometric Triangulations},
  author = {Xiaoping Zhu},
  journal= {arXiv preprint arXiv:2204.10791},
  year   = {2022}
}
R2 v1 2026-06-24T10:56:05.151Z