Compound of six tetrahedra
| Compound of six tetrahedra | |
|---|---|
 | |
| Type | Uniform compound |
| Convex hull | Nonuniform truncated octahedron |
| Index | UC3 |
| Polyhedra | 6 tetrahedra |
| Faces | 24 triangles |
| Edges | 36 |
| Vertices | 24 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 2-fold antiprismatic (D2d) |
This uniform polyhedron compound is a symmetric arrangement of 6 tetrahedra. It can be constructed by inscribing a stella octangula within each cube in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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