A cube 30-compound can be constructed from the vertices of the first dodecahedron 6-compound.
It is implemented in the Wolfram Language as PolyhedronData[
"CubeThirtyCompound",
1
].
The cube 30-compound is illustrated above together with its octahedron 30-compound dual and common midsphere.
The common solid and convex hull are unnamed polyhedra illustrated above.
