A generalization of Andreev's Theorem
Raquel DÍAZ
Source: J. Math. Soc. Japan Volume 58, Number 2
(2006), 333-349.
Abstract
Andreev's Theorem studies the existence of compact hyperbolic polyhedra of a given combinatorial type and given dihedral angles, all of them acute. In this paper we consider the same problem but without any restriction on the dihedral angles. We solve it for the descendants of the tetrahedron, i.e. those polyhedra that can be obtained from the tetrahedron by successively truncating vertices; for instance, the first of them is the triangular prism.
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1149166778
Digital Object Identifier: doi:10.2969/jmsj/1149166778
Zentralblatt MATH identifier: 1097.51009
Mathematical Reviews number (MathSciNet): MR2228562
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