Compound of twenty triangular prisms
| Compound of twenty triangular prisms | |
|---|---|
| |
| Type | Uniform compound |
| Index | UC33 |
| Polyhedra | 20 triangular prisms |
| Faces | 40 triangles, 60 squares |
| Edges | 180 |
| Vertices | 60 |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | 3-fold dihedral (D3) |
This uniform polyhedron compound is a symmetric arrangement of 20 triangular prisms, aligned in pairs with the axes of three-fold rotational symmetry of an icosahedron. It results from composing the two enantiomorphs of the compound of 10 triangular prisms.
It shares its vertex arrangement with the rhombidodecadodecahedron.
References
- John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
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