Compound of four octahedra

Compound of four octahedra
TypeUniform compound
IndexUC12
Convex hullNonuniform truncated cube
Polyhedra4 octahedra
Faces8+24 triangles
Edges48
Vertices24
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent3-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

References