A number of attractive 50-compounds of the regular tetrahedron can be constructed.
The compounds illustrated above are implemented in the Wolfram Language as PolyhedronData[
"TetrahedronFiftyCompound",
n
]
for 
,
2, 3.
These tetrahedron 50-compounds are illustrated above together with thier duals and common midspheres.
The common solids and convex hulls are illustrated above.
