A number of attractive 11-compounds of the regular icosahedron can be constructed.
The compound illustrated above is implemented in the Wolfram Language as PolyhedronData[
"IcosahedronElevenCompound",
1
].
This icosahedron 11-compound is illustrated above together with its dodecahedron 11-compound dual and common midsphere.
The common solid and convex hull, the former of which has the connectivity of the truncated octahedron, are illustrated above.
