Convex polyhedra with regular faces were used for developing the crystal-chemical model of atomic interactions. Some examples of inorganic crystal structures with coordination polyhedra belonging to convex polyhedra with regular faces are considered. Only four polyhedra -tetrahedron, octahedron, trigonal bipyramid and cube (without due regard for displacement of some atomic groups as a whole) -are shown to be stable at any value of the atomic interaction potential.