An octahedron 9-compound is a polyhedron compound consisting of nine octahedra. The example 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.