Geodesic
On~convex polyhedra in Lobachevskii spaces
Sbornik. Mathematics, Tome 10 (1970) no. 3, pp. 413-440

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This paper is concerned with the investigation of properties of convex polyhedra in Lobachevskii spaces; it gives a complete description of convex bounded polyhedra with dihedral angles not exceeding $90^\circ$, in a three-dimensional Lobachevskii space. This in turn permits a description of the discrete groups generated by reflections acting in the three-dimensional Lobachevskii space with a compact fundamental region. Figures: 6. Bibliography: 6 titles. 
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     author = {E. M. Andreev},
     title = {On~convex polyhedra in {Lobachevskii} spaces},
     journal = {Sbornik. Mathematics},
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     number = {3},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_3_a7/}
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E. M. Andreev. On~convex polyhedra in Lobachevskii spaces. Sbornik. Mathematics, Tome 10 (1970) no. 3, pp. 413-440. http://geodesic.mathdoc.fr/item/SM_1970_10_3_a7/