Compound of two truncated tetrahedra

Compound of two truncated tetrahedra
Type	Uniform compound
Index	UC54
Polyhedra	2 truncated tetrahedra
Faces	8 triangles, 8 hexagons
Edges	36
Vertices	24
Symmetry group	octahedral (Oh)
Subgroup restricting to one constituent	tetrahedral (Td)

This uniform polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stella octangula.

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: 447–457, doi:10.1017/S0305004100052440, MR0397554 .

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