Compound of two truncated tetrahedra

Compound of two truncated tetrahedra
TypeUniform compound
IndexUC54
Schläfli symbola2{4,3}
Coxeter diagram + =
Polyhedra2 truncated tetrahedra
Faces8 triangles
8 hexagons
Edges36
Vertices24
Symmetry groupoctahedral (Oh)
[4,3]
Subgroup restricting
to one constituent
tetrahedral (Td)
[3,3]

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

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