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
The Simple Solution to Rubik's Cube season working out a solution, which he published as a 32-page pamphlet for the university bookstore. It reached the hands of a publisher at Bantam who persuaded Nourse to expand the guide into a 64-page book. The book was published June 1981. It became the best-selling book of 1981, selling 6,680,000 copies that year. It was the fastest-selling title in the 36-year history of Bantam Books. In November 1981 Nourse published a sequel, "The Simple Solutions to Cubic Puzzles", as an aid to the numerous puzzles that were spawned by the Cube-craze. Many later solutions to Rubik's Cube published on