Producing circle patterns via configurations
Geometric Topology
2021-05-13 v9
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.
Cite
@article{arxiv.2010.13076,
title = {Producing circle patterns via configurations},
author = {Ze Zhou},
journal= {arXiv preprint arXiv:2010.13076},
year = {2021}
}
Comments
42 pages, 9 figures