Compound of five tetrahemihexahedra
# Compound of five tetrahemihexahedra

Compound of five tetrahemihexahedra :

| Type | Uniform compound |
| - | - |
| Index | $UC_{18}$ |
| Polyhedra | 5 tetrahemihexahedra |
| Faces | 20 triangles, 15 squares |
| Edges | 60 |
| Vertices | 30 |
| Symmetry group | chiral icosahedral (I) |
| Subgroup restricting to one constituent | chiral tetrahedral (T) |

A compound of five tetrahemihexahedra is a uniform polyhedron compound and a symmetric arrangement of five tetrahemihexahedra. It is chiral with icosahedral symmetry (I).

## Related polyhedra

Its convex hull is an icosidodecahedron. Hence it is a faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra.

| Icosidodecahedron | Compound of five octahedra | Compound of five tetrahemihexahedra |
| - | - | - |
