Volume computation for Meissner polyhedra and applications
Résumé
The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional problems. A direct consequence is the minimality of the volume of Meissner tetrahedras among Meissner pyramids.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
|---|