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 Cube (film) getting out of the Cube. After the band leaves, Mr. Thomas briefly enters telling the Man that the "Rest Period" is over. A prisoner named Watson (Jack Van Evera) enters the Cube having escaped from his Cube. He notices that the Man hasn't been here for long while mentioning how his Cube had squares while the Man's Cube has rectangles. Watson tells the Man that he had to tell how many times has passed by making marks in his thumbnail which didn't work when he lost his thumbnails. Watson decides to return to his Cube to see if he left