Compound of four hexagonal prisms
TypeUniform compound
IndexUC38
Polyhedra4 hexagonal prisms
Faces8 hexagons,
24 squares
Edges72
Vertices48
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent3-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, MR 0397554.


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