论文标题

恒定曲率多边形复合物的急性三角剖分

Acute Triangulation of Constant Curvature Polygonal Complexes

论文作者

Brunck, Florestan

论文摘要

我们证明,每个二维多边形复合物,其中每个多边形均具有恒定的曲率度量,并且属于有限的许多等轴测类别之一,只能使用急性简单进行三角测量。该复合物不需要有限甚至在局部有限。

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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