Compound of two truncated tetrahedra

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Template:Short description

Compound of two truncated tetrahedra
File:UC54-2 truncated tetrahedra.png
Type Uniform compound
Index UC54
Schläfli symbol a2{4,3}
Coxeter diagram Template:CDD + Template:CDD = Template:CDD
Polyhedra 2 truncated tetrahedra
Faces 8 triangles
8 hexagons
Edges 36
Vertices 24
Symmetry group octahedral (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 Template:CDD, 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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