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 who gets kids to try an incredibly hard trick called the "Monster Cookie Pinwheel". When asked by the skaters what a Monster Cookie Pinwheel is, Skater McGee replies with, "A monster cookie pinwheel is when you skate up to a locomotives cow catch, you 360 punk buster to the second car, do a lemonade hand stand on the third car, a whipping-post ollie to the fourth car, a demon stomper on the fifth car, and a gleaming the cube off the sixth car, before dismounting the train." A reference to "gleaming the cube" was also made in season 3 of