There are a number of attractive polyhedron compounds consisting of 12 octahedra.
This compound is implemented in the Wolfram Language as PolyhedronData[
"OctahedronTenCompound",
1
].
These octahedron 12-compounds are illustrated above together with their cube 12-compound duals and common midspheres.
The common solids and convex hulls of these compounds are illustrated above.
