Producing circle patterns via configurations

2020/10/25 by Zhou, Ze · 1 citation
#51M10 #52C26 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2010.13076

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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• A gradient descent algorithm for computing circle patterns

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