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Hyperbolic
triangular prisms with one ideal vertex
Grant S. Lakeland and Corinne G. Roth
Vol. 13 (2020), No. 3, 361–379
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Abstract |
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We classify all of the five-sided three-dimensional hyperbolic polyhedra with one ideal vertex, which have the shape of a triangular prism, and which give rise to a discrete reflection group. We show how to find each such polyhedron in the upper half-space model by considering lines and circles in the plane. Finally, we give matrix generators in for the orientation-preserving subgroup of each corresponding reflection group. |
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Keywords
hyperbolic reflection group, prism, ideal polyhedron
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Mathematical Subject Classification 2010
Primary: 57R18
Secondary: 20F55
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Milestones
Received: 3 October 2018
Revised: 15 December 2019
Accepted: 23 March 2020
Published: 14 July 2020
Communicated by Kenneth S. Berenhaut
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Authors |
| Grant S. Lakeland | |
| Department of Mathematics and
Computer Science Eastern Illinois University Charleston, IL United States |
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| Corinne G. Roth | |
| Department of Mathematics and
Computer Science Eastern Illinois University Charleston, IL United States |
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