There are a number of attractive polyhedron compounds consisting of nine octahedra. The compound illustrated above can be constructed as the dual of cube 9-compound.
This compound is implemented in the Wolfram Language as PolyhedronData[
"OctahedronNineCompound",
1
].
These octahedron 9-compounds are illustrated above together with their cube 9-compound duals and common midspheres.
The common solids and convex hulls of these compounds are illustrated above.
