Compound of eight triangular prisms
| Compound of eight triangular prisms | |
|---|---|
 | |
| Type | Uniform compound |
| Index | UC31 |
| Polyhedra | 8 triangular prisms |
| Faces | 16 triangles, 24 squares |
| Edges | 72 |
| Vertices | 48 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 3-fold dihedral (D3) |
This uniform polyhedron compound is a symmetric arrangement of 8 triangular prisms, aligned in pairs with the axes of three-fold rotational symmetry of an octahedron. It results from composing the two enantiomorphs of the compound of 4 triangular prisms.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554.