This article is cited in 3 papers

Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms

A. A. Felikson

Independent University of Moscow

Abstract: A polyhedron P admits a Coxeter decomposition if P can be tiled by finitely many Coxeter polyhedra such that any two tiles having a common face are symmetric with respect to this face. In this paper, we classify Coxeter decompositions of compact convex pyramids and triangular prisms in the hyperbolic space $\mathbb H^3$.

UDC: 512.817.72+514.174.5

Received: 15.01.2003
Revised: 19.05.2003

DOI: 10.4213/mzm50

 English version: Mathematical Notes, 2004, 75:4, 583–593

Bibliographic databases:

• 
• 
• 
•