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arXiv:2408.09911 [math.MG]AbstractReferencesReviewsResources

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

V. N. Berestovskii, Yu. G. Nikonorov

Published 2024-08-19Version 1

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 $\mathbb{R}^3$.

Comments: 34 pages, 22 figures, comments are welcome!
Categories: math.MG
Subjects: 54E35, 52B15, 20B05
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