Compound of four hexagonal prisms

Compound of four hexagonal prisms
Compound of four hexagonal prisms
UC38-4 hexagonal prisms.png
Type Uniform compound
Index UC38
Polyhedra 4 hexagonal prisms
Faces 8 hexagons,
24 squares
Edges 72
Vertices 48
Symmetry group octahedral (Oh)
Subgroup restricting to one constituent 3-fold antiprismatic (D3d)

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))

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .