Acute Triangulation of Constant Curvature Polygonal Complexes

10/16/2022

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by   Florestan Brunck, et al.

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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.