Quasirhombicuboctahedron

The quasirhombicuboctahedron, also commonly known as simply the nonconvex great rhombicuboctahedron, or querco is a uniform polyhedron. It consists of 8 triangles and 6+12 squares, with one triangle and three squares meeting at each vertex. It can be obtained by quasicantellation of the cube or octahedron, or equivalently by pushing either polyhedron's faces inward and filling the gaps with squares.

6 of the squares in this figure have full BC2 symmetry, while 12 of them have only A1×A1 symmetry with respect to the whole polyhedron.

Vertex coordinates
A small rhombicuboctahedron of edge length 1 has vertex coordinates given by all permutations of
 * (±(1-$\sqrt{5-2√2}$)/2, ±1/2, ±1/2).