论文标题
常规八面体上最远的点地图
The Farthest Point Map on the Regular Octahedron
论文作者
论文摘要
在任何紧凑型空间上，都可以考虑将点发送到该点最远的点的地图。在不错的情况下，距给定点最远的一点只有一个点，因此，通过限制域，稍微可以基于此地图在空间上形成动力系统。当度量空间是配备了固有的平锥公制的常规八面体时，我们给出了该地图的完整表征，包括显式公式。
On any compact space one can consider the map which sends a point to the set of points farthest from this point. In nice cases, there is just a single point farthest from a given point and so by restricting the domain slightly one can form a dynamical system on the space based on this map. We give a complete characterization of this map, including explicit formulas, when the metric space is the regular octahedron equipped with its intrinsic flat cone metric.
