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
Gleaming the Cube to the cryptic question "Have you ever gleemed [sic] inside a cube?" that Garry Scott Davis (GSD) asked Neil Blender in an interview in the December 1983 issue of "Thrasher" magazine. In the film, Christian Slater's character defines "gleaming the cube" as "pushing your limits to the edge". The DVD contains an easter egg; by highlighting the skateboard on the main menu, viewers can watch a short featurette entitled "What Does Gleaming the Cube Mean?". Brian Kelly is an underachieving high school student in Orange County, California. An avid skateboarder, Brian is frequently at odds with his parents for his