Volume computation for Meissner polyhedra and applications
Metric Geometry
2023-10-30 v1
Abstract
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.
Cite
@article{arxiv.2310.17672,
title = {Volume computation for Meissner polyhedra and applications},
author = {Beniamin Bogosel},
journal= {arXiv preprint arXiv:2310.17672},
year = {2023}
}