A cube 35-compound can be constructed as the dual of the octahedron 35-compound.
It is implemented in the Wolfram Language as PolyhedronData[
"CubeThirtyCompound",
1
].
The cube 35-compound is illustrated above together with its octahedron 35-compound dual and common midsphere.
The common solid and convex hull are unnamed polyhedra illustrated above.
