2020/04/24 by Richard Evan Schwartz, Schwartz, Richard Evan
Computer Science · Engineering · #Advanced Materials and Mechanics #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2004.11852
openalex publication_date 2020/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.