There are a number of attractive polyhedron compounds 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.
