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Andreev’s Theorem on 3-dimensional Hyperbolic Polyhedra


Andreev’s Theorem (1970) gives us a classification of polyhedra of finite volume, with non-obtuse dihedral angles, in the 3-dimensional hyperbolic space. The main pur- pose of this thesis is to give an introduction to such polyhedra and their combinatorics, and to study the tools used by Andreev to state and prove his theorem.

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Year: 2017

Author : Andrea Rincón

Prof. Dr. Anna Wienhard
Gye-Seon Lee