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generators parallel to the edges of an octahedron form a truncated octahedron, and generators parallel to the long diagonals of a cube form a rhombic dodecahedron.
generators parallel to the edges of an octahedron form a truncated octahedron, and generators parallel to the long diagonals of a cube form a rhombic dodecahedron.
thus, the minkowski sum of a cube and a truncated octahedron forms the truncated cuboctahedron, while the minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic dodecahedron.
thus, the minkowski sum of a cube and a truncated octahedron forms the truncated cuboctahedron, while the minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic dodecahedron.
both of these zonohedra are simple (three faces meet at each vertex), as is the truncated small rhombicuboctahedron formed from the minkowski sum of the cube, truncated octahedron, and rhombic dodecahedron.
both of these zonohedra are simple (three faces meet at each vertex), as is the truncated small rhombicuboctahedron formed from the minkowski sum of the cube, truncated octahedron, and rhombic dodecahedron.