迈斯纳多面体的体积计算及其应用

IF 0.6 3区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Discrete & Computational Geometry 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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来源期刊

Discrete & Computational Geometry 数学-计算机：理论方法

CiteScore

1.80

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Discrete & Computational Geometry (DCG) is an international journal of mathematics and computer science, covering a broad range of topics in which geometry plays a fundamental role. It publishes papers on such topics as configurations and arrangements, spatial subdivision, packing, covering, and tiling, geometric complexity, polytopes, point location, geometric probability, geometric range searching, combinatorial and computational topology, probabilistic techniques in computational geometry, geometric graphs, geometry of numbers, and motion planning.