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Acute Triangulation of Constant Curvature Polygonal Complexes

2022/10/16 by Florestan Brunck, Brunck, Florestan
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2210.08597

Abstract

We prove that every 2-dimensional polygonal complex, where each polygon is given a constant curvature metric and belongs to one of finitely many isometry classes can be triangulated using only acute simplices. There is no requirement on the complex to be finite or even locally finite.

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