Hyperbolic triangular prisms with one ideal vertex
Abstract
In this paper, we classify all of the fivesided threedimensional hyperbolic polyhedra with one ideal vertex, which have the shape of a triangular prism. We show how to find each such polyhedron in the upper halfspace model by considering lines and circles in the plane. Finally, we give matrix generators in $\mathrm{PSL}_2(\mathbb C)$ for the orientationpreserving subgroup of each corresponding reflection group.
 Publication:

arXiv eprints
 Pub Date:
 August 2018
 DOI:
 10.48550/arXiv.1808.07904
 arXiv:
 arXiv:1808.07904
 Bibcode:
 2018arXiv180807904L
 Keywords:

 Mathematics  Geometric Topology
 EPrint:
 17 pages, 10 figures, 5 tables