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Circle patterns with obtuse exterior intersection angles
Published 6 Mar 2017 in math.GT | (1703.01768v3)
Abstract: Thurston's Circle Pattern Theorem studies existence and rigidity of circle patterns of a given combinatorial type and the given non-obtuse exterior intersection angles. Using topological degree theory, variational principle, Teichmuller theory, and Sard's Theorem, this paper generalizes Circle Pattern Theorem to the case of obtuse exterior intersection angles.
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