迈斯纳多面体的体积计算及其应用

Pub Date : 2024-09-10 DOI:10.1007/s00454-024-00688-0

Beniamin Bogosel

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引用次数: 0

摘要

迈斯纳多面体的体积是根据其对偶边的长度计算出来的。这样就可以将有关具有最小体积的恒宽体的迈斯纳猜想重新表述为一系列明确的有限维问题。其直接结果是迈斯纳金字塔中迈斯纳四面体的体积最小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Volume Computation for Meissner Polyhedra and Applications

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Volume Computation for Meissner Polyhedra and Applications

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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