Geodesic triangulations exist for cusped Platonic manifolds
Geometric Topology
2017-10-18 v2
Abstract
We show that if a cusped hyperbolic manifold is Platonic, i.e., can be decomposed into isometric Platonic solids, it can also be decomposed into geodesic ideal tetrahedra.
Cite
@article{arxiv.1705.04247,
title = {Geodesic triangulations exist for cusped Platonic manifolds},
author = {Matthias Goerner},
journal= {arXiv preprint arXiv:1705.04247},
year = {2017}
}
Comments
4 pages, 4 figures; in version 2, the second half of the proof was rewritten to address concerns by the referee