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
Cube Zero forest with her daughter. Rains wakes up in the Cube and meets the other occupants: one of them, Robert Haskell, has the same tattoo on his forehead as the soldier who captured her. However, Haskell, like everyone else, only knows his own name and has no recollection of his former life or how he got there. According to what Wynn and Dodd know, everyone in the Cube faced a death sentence and volunteered to partake in psychological experiments instead. Rains' consent form, however, is not found in her file. The captives venture through the Cube, testing each room for traps