Compound of six tetrahedra
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| 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 3 cubes.
[edit] References
- John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
