A cube 13-compound can be constructed as the dual of the octahedron 13-compound.
It is implemented in the Wolfram Language as PolyhedronData[
"CubeThirteenCompound",
1
].
The cube 13-compound is illustrated above together with its octahedron 13-compound dual and common midsphere.
The common solid and convex hull are unnamed polyhedron illustrated above.
