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
Doubling the cube at solving what they saw as an obstinate but soluble problem. However, the nonexistence of a solution was finally proven by Pierre Wantzel in 1837. In algebraic terms, doubling a unit cube requires the construction of a line segment of length , where ; in other words, . This is because a cube of side length 1 has a volume of , and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. The impossibility of doubling the cube is therefore equivalent to the statement that is not a constructible