Snub operation with the faces of the Cube: From Cube to Octahedron. Rhombicuboctahedron. Snub Cube.
A snub-operation can be seen by moving the slider t (0≤t≤1) for expanding faces of a polyhedron : t=0 satisfy Cube, Rhombicuboctahedron and t=0 -Octahedron. You can use the slider α to set the rotation of faces relative to their centers and under certain conditions get: Snub Cube.