Compound of ten triangular prisms
Polyhedral compound
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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.
| 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) |
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 |
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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