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
Edmund Root as the first commanding officer of . In the 1940s, he headed the naval officer procurement program in Chicago, where he oversaw the area's initial WAVES program. Root served as Naval Governor of Guam from May 15, 1931 to June 21, 1933. Root caused controversy between the United States and Japanese governments in 1933 when he expelled 112 Japanese citizens from Guam after their residence permits expired. The Guam Museum opened during his term. The Edmund S. Root Agricultural School in Guam is named in his honor. Edmund Root Edmund Spence Root (December 27, 1881 – February 27, 1961) was