Compound of four hexagonal prisms

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Compound of four hexagonal prisms
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 three-fold rotational symmetry of an octahedron.

[edit] Cartesian coordinates

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

(±1, ±(1−√6), ±(1+√6))

[edit] References

  • John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
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