Cube 5-Compound and Small Rhombicosidodecahedron

If you move all the faces of a compound of 5 cubes radially, then at a certain distance the vertices of the 30 squares meet and coincide with the square faces of a small rhombicosidodecahedron. You can also adjust the size to see how the squares relate to the faces of the rhombic triacontahedron.