Compound of cube and octahedron

It is one of four compounds constructed from a Platonic solid or Kepler-Poinsot polyhedron and its dual.

It has octahedral symmetry (Oh) and shares the same vertices as a rhombic dodecahedron.

This can be seen as the three-dimensional equivalent of the compound of two squares ({8/2} "octagram"); this series continues on to infinity, with the four-dimensional equivalent being the compound of tesseract and 16-cell.

It can be seen as a cuboctahedron with square and triangular pyramids added to each face.

The stellation facets for construction are: This polyhedron-related article is a stub.