Compound of four hexagonal prisms

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Template:Short description

Compound of four hexagonal prisms
File: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. It shares the same vertex arrangement as a nonuniform rhombicuboctahedron.

Cartesian coordinates

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

(±1, ±(1−6), ±(1+6))

References

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