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Hyperideal polyhedra in hyperbolic 3-space

Xiliang BaoFrancis Bonahon — 2002

Bulletin de la Société Mathématique de France

A hyperideal polyhedron is a non-compact polyhedron in the hyperbolic 3 -space 3 which, in the projective model for 3 ℝℙ 3 , is just the intersection of 3 with a projective polyhedron whose vertices are all outside 3 and whose edges all meet 3 . We classify hyperideal polyhedra, up to isometries of 3 , in terms of their combinatorial type and of their dihedral angles.

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