Geodesic
Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms
Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 624-636.

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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 $\mathbb H^3$. 
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A. A. Felikson. Coxeter Decompositions of Compact Hyperbolic Pyramids and Triangular Prisms. Matematičeskie zametki, Tome 75 (2004) no. 4, pp. 624-636. http://geodesic.mathdoc.fr/item/MZM_2004_75_4_a11/

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