Compound of four triangular prisms
# Compound of four triangular prisms

Compound of four triangular prisms :

| Type | Uniform compound |
| - | - |
| Index | $UC_{30}$ |
| Polyhedra | 4 triangular prisms |
| Faces | 8 triangles, 12 squares |
| Edges | 36 |
| Vertices | 24 |
| Symmetry group | chiral octahedral (O) |
| Subgroup restricting to one constituent | 3-fold dihedral $(D_3)$ |

This uniform polyhedron compound is a chiral symmetric arrangement of 4 triangular prisms, aligned with the axes of three-fold rotational symmetry of an octahedron.

## Cartesian coordinates

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

    (±1, ±(1+√2), ±(1−√2))

with an even number of minuses in the '±' choices, together with all the odd permutations with an odd number of minuses in the '±' choices.

