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arXiv · 2310.17672

Volume computation for Meissner polyhedra and applications

Beniamin Bogosel
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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.

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Beniamin Bogosel. 2023-10-25. Volume computation for Meissner polyhedra and applications. https://arxiv.org/abs/2310.17672

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