Compound of ten triangular prisms
# Compound of ten triangular prisms

Compound of ten triangular prisms :

| Type | Uniform compound |
| - | - |
| Index | $UC_{32}$ |
| 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 $(D_3)$ |

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 |
