A number of attractive 7-compounds of the regular dodecahedron can be constructed.

The compound illustrated above is implemented in the Wolfram Language as `PolyhedronData`[`"DodecahedronSevenCompound"`,
1].

This dodecahedron 7-compound is illustrated above together with its icosahedron 7-compound dual and common midsphere.

The common solid and convex hull are illustrated above.