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This polyhedron can be seen as either a polyhedral stellation or a compound.
Contents
As a compound
It can be seen as the compound of an octahedron and a cube. 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.
As a stellation
It is also the first stellation of the cuboctahedron and given as Wenninger model index 43.
It can be seen as a cuboctahedron with square and triangular pyramids added to each face.
The stellation facets for construction are:
References
Compound of cube and octahedron Wikipedia(Text) CC BY-SA