Compound of two truncated tetrahedra
Compound of two truncated tetrahedra | |
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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] |
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
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 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554 .
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