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| 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

• References

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 |

• citerefskilling1976Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.