Symmetry groups and fundamental tilings for the compact surface of genus . II: The normalizer diagram with classification.
Molnár, Emil, Stettner, Eleonóra (2005)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Four series of hyperbolic space groups with simplicial domains, and their supergroups”
Symmetry groups and fundamental tilings for the compact surface of genus . II: The normalizer diagram with classification.
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In 1970, E.M.Andreev published a classification of all three-dimensional compact hyperbolic polyhedra (other than tetrahedra) having non-obtuse dihedral angles. Given a combinatorial description of a polyhedron, , Andreev’s Theorem provides five classes of linear inequalities, depending on , for the dihedral angles, which are necessary and sufficient conditions for the existence of a hyperbolic polyhedron realizing with the assigned dihedral angles. Andreev’s Theorem also shows that...
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