The cube-octahedron 5-compound is a polyhedron compound of the cube 5-compound and its dual, the octahedron 5-compound.

It will be implemented in a future version of the Wolfram Language as `PolyhedronData`[`"CubeOctahedronFiveCompound"`,
1].

The constituent cubes and octahedra are shown above together with their common midsphere.

The common solid is a rhombic triacontahedron and its convex hull is an icosidodecahedron.