论 3 美元欧几里得三维空间中的 m 美元点均质多面体

arXiv - MATH - Metric Geometry Pub Date : 2024-08-19 DOI:arxiv-2408.09911

V. N. Berestovskii, Yu. G. Nikonorov

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摘要

本文致力于研究欧几里得空间中多面体顶点集的 $m$ 点同质性质。我们特别介绍了$\mathbb{R}^3$中的$2$点和$3$点同质多面体的分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On $m$-point homogeneous polyhedra in $3$-dimensional Euclidean space

This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$.

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arXiv - MATH - Metric Geometry

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