Polyhedrons and PBIBDs from hyperbolic manifolds
Combinatorics
2015-06-24 v2
Abstract
By taking quotients of a certain tiling of hyperbolic plane / space by certain group actions, we obtain geometric polyhedra / cellulations with interesting symmetries and incidence structure.
Cite
@article{arxiv.1308.3651,
title = {Polyhedrons and PBIBDs from hyperbolic manifolds},
author = {Eran Nevo},
journal= {arXiv preprint arXiv:1308.3651},
year = {2015}
}
Comments
v2: Lemma 2.3(4) corrected, and as a result, $\Omega(n^{3/2})$ combinatorially different triangulated 3-manifolds on n vertices are constructed. in Geometriae Dedicata 2015, online