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

التفاصيل البيبلوغرافية
العنوان: On $m$-point homogeneous polyhedra in $3$-dimensional Euclidean space
المؤلفون: Berestovskii, V. N., Nikonorov, Yu. G.
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Metric Geometry, 54E35, 52B15, 20B05
الوصف: 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 $\mathbb{R}^3$.
Comment: 34 pages, 22 figures, comments are welcome!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2408.09911
رقم الأكسشن: edsarx.2408.09911
قاعدة البيانات: arXiv