A number of attractive tetrahedron 6-compounds can be constructed. The first compound (left figures) is obtained by combining three stella
octangula. A second can be obtained by arranging six regular tetrahedra about
a common 
copies. A third can be obtained by combining two oppositely-oriented tetrahedron
3-compounds.
These tetrahedron 6-compounds are illustrated above together with their duals and common midspheres.
The common solids and convex hulls are illustrated above. For the first compound, the interior has the connectivity of a tetrakis
hexahedron and the convex hull has the connectivity
of the truncated octahedron. For the second,
the interior is a 12-dipyramid and the convex
hull is a (non-equilateral) 12-prism. For the third,
the interior is a truncated 9-trapezohedron (with
the connectivity of the 
-generalized
Petersen graph) and the convex hull is a gyroelongated
9-dipyramid.
A net for the hull of the first compound is illustrated above, with
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