Compound of four octahedra

Compound of four octahedra
Type	Uniform compound
Index	UC12
Convex hull	Nonuniform truncated cube
Polyhedra	4 octahedra
Faces	8+24 triangles
Edges	48
Vertices	24
Symmetry group	octahedral (Oh)
Subgroup restricting to one constituent	3-fold antiprismatic (D3d)

This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by 60 degrees about a separate axis (that passes through the centres of two opposite octahedral faces).

Cartesian coordinates

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

(±2, ±1, ±2)

See also

• Compound of three octahedra
• Compound of five octahedra
• Compound of ten octahedra
• Compound of twenty octahedra

References

• .