As many antipodes as vertices on some convex polyhedra
Résumé
An earlier result states that a point of the surface of a convex polyhedron with n vertices, endowed with its intrinsic metric, cannot have more that n antipodes (farthest points). In this paper we produce examples of polyhedra with n vertices on which some suitable point admits exactly n antipodes.
Domaines
Géométrie métrique [math.MG]
Origine : Fichiers produits par l'(les) auteur(s)
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