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