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Polyhedral compound From Wikipedia, the free encyclopedia
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.
Compound of two truncated tetrahedra | |
---|---|
Type | Uniform compound |
Index | UC54 |
Schläfli symbol | a2{4,3} |
Coxeter diagram | + = |
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] |
The vertex arrangement is the same as a convex, but nonuniform rhombicuboctahedron having 12 rectangular faces.
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