On polyhedra with rhombic vertices and regular faces

In this paper, we consider the class of closed convex polyhedra with regular faces in $E^3$ for which the stars of some vertices are symmetric and consist of equal and identically located rhombuses ($RR$-polyhedra). We obtain a complete classification of $RR$-polyhedra with two acute-angled rhombic vertices whose stars are separated by a belt of regular faces of the same type. The proof is based on a result on the existence of two polyhedra of this class obtained by the author earlier.