Compound of six tetrahedra


The compound of six tetrahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 6 tetrahedra. It can be constructed by inscribing a stella octangula within each cube in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra.
It is one of only five polyhedral compounds which is vertex-transitive and face-transitive but not edge-transitive.