Great cubicuboctahedron
In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U. It has 20 faces (8 triangles, 6 squares and 6 octagrams), 48 edges, and 24 vertices. Its square faces and its octagrammic faces are parallel to those of a cube, while its triangular faces are parallel to those of an octahedron: hence the name "cubicuboctahedron". The "great" suffix serves to distinguish it from the small cubicuboctahedron, which also has faces in the aforementioned directions. Related polyhedra. It shares the vertex arrangement with the convex truncated cube and two other nonconvex uniform polyhedra. It additionally shares  its edge arrangement with the nonconvex great rhombicuboctahedron (having the triangular faces and 6 square faces in common), and with the great rhombihexahedron (having the octagrammic faces in common). Great hexacronic icositetrahedron. The great hexacronic icositetrahedron (or great lanceal disdodecahedron) is the dual of the great cubicuboctahedron.