Compound of eight triangular prisms
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| Compound of eight triangular prisms | |
|---|---|
| | |
| Type | Uniform compound |
| Index | UC 31 |
| Polyhedra | 8 triangular prisms |
| Faces | 16 triangles , 24 squares |
| Edges | 72 |
| Vertices | 48 |
| Symmetry group | octahedral ( O h ) |
| Subgroup restricting to one constituent | 3-fold dihedral ( D 3 ) |
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
• citerefskilling1976Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR 0397554, S2CID 123279687.