论文标题
通过配置生产圆形图案
Producing circle patterns via configurations
论文作者
论文摘要
本文从配置的角度研究了圆形模式。通过使用拓扑学理论,我们将Koebe-Andreev-Thurston定理扩展到具有钝的外部相交角的圆形图案。结果,我们获得了一个广义的Andreev定理,该定理允许钝角二面角。
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.