Producing circle patterns via configurations

Published 25 Oct 2020 in math.GT | (2010.13076v9)

Abstract: This paper studies circle patterns from the viewpoint of configurations. By using the topological degree theory, we extend the Koebe-Andreev-Thurston Theorem to include circle patterns with obtuse exterior intersection angles. As a consequence, we obtain a generalized Andreev's Theorem which allows obtuse dihedral angles.

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Authors (1)

Ze Zhou

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