Rigidity of the hexagonal Delaunay triangulated plane

2018/09/16 by Song Dai, Dai, Song, Huabin Ge +3 · 4 citations
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Point processes and geometric inequalities #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1809.05882

Abstract

We show the rigidity of the hexagonal Delaunay triangulated plane under Luo's PL conformality. As a consequence, we obtain a rigidity theorem for a particular type of locally finite convex ideal hyperbolic polyhedra.

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• Infinite Combinatorial Yamabe Flows in Three Dimensions
• Rigidity of discrete conformal structures on surfaces
• The existence and uniqueness of infinite combinatorial Yamabe flows
• Infinite Ideal Polyhedra in Hyperbolic 3-Space: Existence and Rigidity

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