Compound of four hexagonal prisms
# Compound of four hexagonal prisms

Compound of four hexagonal prisms :

| Type | Uniform compound |
| - | - |
| Index | $UC_{38}$ |
| Polyhedra | 4 hexagonal prisms |
| Faces | 8 hexagons, 24 squares |
| Edges | 72 |
| Vertices | 48 |
| Symmetry group | octahedral $(O_h)$ |
| Subgroup restricting to one constituent | 3-fold antiprismatic $(D_{3d})$ |

This uniform polyhedron compound is a symmetric arrangement of 4 hexagonal prisms, aligned with the axes of threefold rotational symmetry of an octahedron.

## Cartesian coordinates

Cartesian coordinates for the vertices of this compound are all the permutations of

    (±1, ±(1−√6), ±(1+√6))
