2 papers
math.GT2026
Spherical orthogonal ring patterns on surfaces and modified combinatorial total geodesic curvatures
Zhiwen Xiong, Xu Xu
Orthogonal ring patterns are natural generalizations of circle patterns. Bobenko-Hoffmann-Rörig and Bobenko established the variational principles of the classical combinatorial c…
math.GT2025
Generalized circle patterns on surfaces with cusps
Zhiwen Xiong, Xu Xu
Guo and Luo introduced generalized circle patterns on surfaces and proved their rigidity. In this paper, we prove the existence of Guo-Luo's generalized circle patterns with prescr…