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

Abstract

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 ${\mathbb{R}}^3$.

36 pages, 22 figures. New sources have been added to the bibliography along with corresponding comments. Some inaccuracies and typos have been corrected