There are a number of attractive polyhedron compounds consisting of 13 octahedra.
This compound is implemented in the Wolfram Language as PolyhedronData[
"OctahedronThirteenCompound",
1
].
These octahedron 13-compounds are illustrated above together with their cube 13-compound duals and common midspheres.
The common solids and convex hulls of these compounds are illustrated above.
