Compound of six tetrahedra

Compound of six tetrahedra
Type	Uniform compound
Convex hull	Nonuniform truncated octahedron
Index	UC3
Polyhedra	6 tetrahedra
Faces	24 triangles
Edges	36
Vertices	24
Symmetry group	octahedral (Oh)
Subgroup restricting to one constituent	2-fold antiprismatic (D2d)

This uniform polyhedron compound is 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.

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554 .