A number of attractive 10-compounds of the regular icosahedron can be constructed.
The compound illustrated above is implemented in the Wolfram Language as PolyhedronData[
"IcosahedronTenCompound",
1
].
This icosahedron 10-compound is illustrated above together with its dodecahedron 10-compound dual and common midsphere.
The common solid and convex hull are illustrated above.
