The Farthest Point Map on the Regular Octahedron
Richard Evan Schwartz · Experimental Mathematics · 2021
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.