Gear Cube involve either half turns or a full rotation. It has six stationary centers, each with a different color, that always stay opposite from another specific center. White is always opposite of yellow. Blue is always opposite of green. Red is always opposite of purple. Each center determines what color that side will be. The centers are exactly based on the original Rubik's Cube. They are connected by a three dimensional cross with screws and springs allowing for less tension. Many cube solvers use the same notation when completing a cube, whether they are working on the original Rubik's Cube, the
Theorem of the cube Theorem of the cube In mathematics, the theorem of the cube is a condition for a line bundle over a product of three complete varieties to be trivial. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The final version of the theorem of the cube was first published by , who credited it to André Weil. A discussion of the history has been given by . A treatment by means of sheaf cohomology, and description in terms of the Picard functor, was given by . The theorem states that for