Compound of four octahedra

Compound of four octahedraTypeUniform compoundIndexUC12Convex hullNonuniform truncated cubePolyhedra4 octahedraFaces8+24 trianglesEdges48Vertices24Symmetry groupoctahedral (Oh)Subgroup restricting to one constituent3-fold antiprismatic (D3d)

The compound of four octahedra is a uniform polyhedron compound. It's composed of 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).

Its dual is the compound of four cubes.

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 Compound of four cubes

References .