The blue figure above is an octahedron. The next image shows what happens if red octahedra are used to augment each of the blue octahedron’s faces.

The third image shows what happens if yellow octahedra are used to augment each red face in the second figure.

These polyhedral images were created using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.