Wenninger (1989) lists four of the possible cuboctahedron stellations, namely the cube-octahedron compound, a truncated form of the stella octangula, a sort of compound of six intersecting square pyramids, and an attractive concave solid formed of rhombi meeting four at a time.
There are two stellation diagrams for the cuboctahedron (Wenninger 1989, Fig. 31, p. 67). The diagram above shows the lines of intersections of a triangular face with other nonparallel faces.
The diagram above shows the lines of intersections of a square face and one for triangular face with other nonparallel faces.
