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Preprints, Working Papers, ... Year : 2023

Volume computation for Meissner polyhedra and applications

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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Dates and versions

hal-04258055 , version 1 (25-10-2023)

Identifiers

  • HAL Id : hal-04258055 , version 1

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Beniamin Bogosel. Volume computation for Meissner polyhedra and applications. 2023. ⟨hal-04258055⟩
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