The Cube (game show) If the Cube is beaten, Extreme Mode is unlocked, featuring more extreme versions of five popular games: Revolution, Pathfinder, Perimeter, Rebound and Momentum. The Cube (game show) The Cube is a British game show that aired on ITV from 22 August 2009 to 8 August 2015 and was hosted by Phillip Schofield. The show offers contestants the chance to win a top prize of £250,000 by completing challenges from within a 4m × 4m × 4m Perspex cube. It is based on the idea that even straightforward tasks become extremely challenging when confined and put under pressure inside a small,
Principal root of unity Principal root of unity In mathematics, a principal "n"-th root of unity (where "n" is a positive integer) of a ring is an element formula_1 satisfying the equations In an integral domain, every primitive "n"-th root of unity is also a principal formula_3-th root of unity. In any ring, if formula_3 is a power of formula_5, then any formula_6-th root of formula_7 is a principal formula_3-th root of unity. A non-example is formula_9 in the ring of integers modulo formula_10; while formula_11 and thus formula_9 is a cube root of unity, formula_13 meaning that it is not a "principal" cube