An octahedron 30-compound is a polyhedron compound consisting of 30 octahedra.
This compound is implemented in the Wolfram Language as PolyhedronData["OctahedronThirtyCompound",
1
].
These octahedron 30-compounds are illustrated above together with their cube 30-compound duals and common midspheres.
The common solids and convex hulls of these compounds are illustrated above.