Compound of four cubes

Compound of four cubes

(Animation)
TypeCompound
Convex hullChamfered cube
Polyhedra4 cubes
Faces32 squares
Edges48
Vertices32 (8 + 24)
Symmetry groupoctahedral (Oh)
Subgroup restricting to one constituent3-fold antiprismatic (D3d)

The compound of four cubes or Bakos compound 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.

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