A cube 9-compound can be constructed from the vertices of the first dodecahedron 2-compound.
It is implemented in the Wolfram Language as PolyhedronData[
"CubeNineCompound",
1
].
The cube 9-compound is illustrated above together with its octahedron 9-compound dual and common midsphere.
The common solid is an unnamed polyhedron illustrated above and the convex hull is a solid having the connectivity of the hexagon-augmented truncated octahedral graph.
