Non-convexity of the space of dihedral angles of hyperbolic polyhedra

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Díaz Sánchez, Raquel (1997) Non-convexity of the space of dihedral angles of hyperbolic polyhedra. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 325 (9). pp. 993-998. ISSN 0764-4442

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Official URL: http://www.sciencedirect.com/science/article/pii/S0764444297890921

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Abstract

We prove that the space of dihedralangles of hyperbolic three-dimensional polyhedra, or of compact hyperbolicpolyhedra, of a given combinatorial type is not convex.

Item Type:	Article
Uncontrolled Keywords:	Three-dimensional polytopes; Spherical and hyperbolic convexity
Subjects:	Sciences > Mathematics > Geometry
ID Code:	15708
Deposited On:	21 Jun 2012 08:17
Last Modified:	18 Feb 2019 12:32

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