Abstract

In this paper, we give a complete description of the farthest point map, as defined on the regular octahedron with its intrinsic flat cone metric. As a consequence we show that every well-defined orbit of the map converges to the 1-skeleton of the barycentric subdivision of the triangulation.

中文翻译：

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正八面体上的最远点图

摘要

在本文中，我们给出了最远点图的完整描述，如在正八面体上定义的及其固有的平锥度量。因此，我们表明地图的每个明确定义的轨道都会收敛到三角测量的重心细分的 1-骨架。