The chamfered cube is the Minkowski sum of a rhombic dodecahedron and a cube of side length 1 when eight vertices of the rhombic dodecahedron are at (\pm 1, \pm 1, \pm 1) and its six vertices are at the permutations of (\pm 2, 0, 0).
The chamfered cube can be constructed with pyritohedral symmetry and rectangular faces.