论文标题

六边形几何三角剖分

Hexagonal Geometric Triangulations

论文作者

Zhu, Xiaoping

论文摘要

众所周知,欧几里得平面具有标准的6个规则的大地测量,并且单位球具有5个规则的大地测量三角剖分,这是从常规的十二面体中诱导的,双曲线平面具有N指定的N-规范地测量平面。

It is well-known that the Euclidean plane has a standard 6-regular geodesic triangulation , and the unit sphere has a 5-regular geodesic triangulation, which is induced from the regular Dodecahedron, and the hyperbolic plane has an n-regular geodesic triangulation for any n > 6. Here we constructed a 6-regular geodesic triangulation of the hyperbolic plane.

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