Compound of two truncated tetrahedra
This uniform polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron. It is related to the cantic cube construction of the truncated tetrahedron, as 
, which is one of the two dual positions represented in this compound.
The vertex arrangement is the same as a convex, but nonuniform rhombicuboctahedron having 12 rectangular faces.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.