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 (building) on top of the base, is a perfect cube element measuring in height, width and breadth. The cube consists of 16 floors, with retail distributed on the lower two storeys, office space on the above five floors, residential apartments on the above nine levels, with the top floor of the cube being shared with Hotel Indigo. The Cube residential apartments are separated into East and West Wing. East Wing is strictly limited to owner occupiers, according to contract it is not allowed to let. West Wing is buy-to-let, owner may occupy the flats or let to tenants. East and West