Compound of four cubes

Compound of four cubes
(Animation)
Type	Compound
Convex hull	Chamfered cube
Polyhedra	4 cubes
Faces	32 squares
Edges	48
Vertices	32 (8 + 24)
Symmetry group	octahedral (Oh)
Subgroup restricting to one constituent	3-fold antiprismatic (D3d)

The compound of four cubes or Bakos compound^[1] is a face-transitive polyhedron compound of four cubes with octahedral symmetry. It is the dual of the compound of four octahedra. Its surface area is 687/77 square lengths of the edge.^[2]

Its Cartesian coordinates are (±3, ±3, ±3) and the permutations of (±5, ±1, ±1).

Views from 2-fold, 3-fold and 4-fold symmetry axis