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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