Compound of two truncated tetrahedra
# Compound of two truncated tetrahedra

Compound of two truncated tetrahedra :

| Type | Uniform compound |
| - | - |
| Index | $UC_{54}$ |
| Schläfli symbol | $a_2{4,3}$ |
| Coxeter diagram | + = |
| Polyhedra | 2 truncated tetrahedra |
| Faces | 8 triangles 8 hexagons |
| Edges | 36 |
| Vertices | 24 |
| Symmetry group | octahedral $(O_h)$ [4,3] |
| Subgroup restricting to one constituent | tetrahedral $(T_d)$ [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.

