Coxeter Decompositions of Bounded Hyperbolic Pyramids and Triangular Prisms

2002/12/15 by A. Felikson, Felikson, A.
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG

paper · pdf · doi:10.48550/arxiv.math/0212195

23 pages, 10 figures, 2 tables

arxiv created 2002/12/15 · arxiv updated 2009/11/30

Abstract

Coxeter decompositions of hyperbolic simplices where studied in math.MG/0212010 and math.MG/0210067. In this paper we use the methods of these works to classify Coxeter decompositions of bounded convex pyramids and triangular prisms in the hyperbolic space H³.

Related

• Coxeter decompositions of hyperbolic simplices
• On 3-dimensional hyperbolic Coxeter pyramids
• All hyperbolic Coxeter n-cubes
• Quasi-arithmetic hyperbolic Coxeter prisms
• Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space