Cube this problem, and in 1837 Pierre Wantzel proved it to be impossible because the cube root of 2 is not a constructible number. The cube has three uniform colorings, named by the colors of the square faces around each vertex: 111, 112, 123. The cube has three classes of symmetry, which can be represented by vertex-transitive coloring the faces. The highest octahedral symmetry O has all the faces the same color. The dihedral symmetry D comes from the cube being a prism, with all four sides being the same color. The lowest symmetry D is also a prismatic symmetry, with
Root Creek, Wisconsin Root Creek, Wisconsin Root Creek was a hamlet in Sections 21-22 and 27-28 of the Town of Greenfield in Milwaukee County, Wisconsin, on the Milwaukee-Janesville plank road, at what is now roughly the intersection of that thoroughfare (now Forest Home Avenue) and 68th Street. The body of water after which it was named is nowadays referred to as the Root River. The post office there was established August 19, 1847, near the eastern bank of Root Creek. When Peter Lavies became postmaster in 1854, soon after the establishment of the Hales Corners post office just on the other side of