Compound of four cubes
A compound of four cubes is a face-transitive polyhedron compound that is a symmetric arrangement of four cubes, as trigonal trapezohedrons. It can be constructed by dual of compound of four octahedra. Its surface area is 687/77 square lengths of the edge.[1]
| Compound of four cubes | |
|---|---|
 | |
| Type | Compound |
| Convex hull | Chamfered cube |
| Polyhedra | 4 cubes |
| Faces | 32 squares |
| Edges | 48 |
| Vertices | 8+24 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
Cartesian coordinates
With added fifth cube
Cartesian coordinates for the vertices of this compound are:
- (±3, ±3, ±3)
- (±5, ±1, ±1)
- (±1, ±5, ±1)
- (±1, ±1, ±5)
See also
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