There are a number of attractive polyhedron compounds consisting of 35 octahedra.
This compound is implemented in the Wolfram Language as PolyhedronData["OctahedronThirtyFiveCompound", 1].
These octahedron 35-compounds are illustrated above together with their cube 35-compound duals and common midspheres.
The common solids and convex hulls of these compounds are illustrated above.