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In geometry, the pseudo great rhombicuboctahedron is one of the two pseudo-uniform polyhedra, the other being the convex elongated square gyrobicupola or pseudorhombicuboctahedron. It has the same vertex figure as the nonconvex great rhombicuboctahedron (a uniform polyhedron) but is not a uniform polyhedron and has a smaller symmetry group. It can be obtained from the great rhombicuboctahedron by taking a square face and the 8 faces with a common vertex to it and rotating this by π/4. It is related to the great rhombicuboctahedron in the same way that the pseudo-rhombicuboctahedron is related to the rhombicuboctahedron.
Related polyhedra
The pseudo-great rhombicuboctahedron may also be termed an elongated crossed square gyrobicupola.
References
Pseudo great rhombicuboctahedron Wikipedia(Text) CC BY-SA