Compound of ten triangular prisms
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| Compound of ten triangular prisms | |
|---|---|
| Type | Uniform compound |
| Index | UC32 |
| Polyhedra | 10 triangular prisms |
| Faces | 20 triangles, 30 squares |
| Edges | 90 |
| Vertices | 60 |
| Symmetry group | chiral icosahedral (I) |
| Subgroup restricting to one constituent | 3-fold dihedral (D3) |
This uniform polyhedron compound is a chiral symmetric arrangement of 10 triangular prisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.
Related polyhedra
This compound shares its vertex arrangement with three uniform polyhedra as follows:
| convex hull | Rhombidodecadodecahedron | Icosidodecadodecahedron |
| Rhombicosahedron | Compound of ten triangular prisms | Compound of twenty triangular prisms |
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:, MR.