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
Rubik's Cube group Rubik's Cube group The Rubik’s Cube group is a group formula_1 that represents the structure of the Rubik's Cube mechanical puzzle. Each element of the set formula_2 corresponds to a cube move, which is the effect of any sequence of rotations of the cube's faces. With this representation, not only can any cube move be represented, but also any position of the cube as well, by detailing the cube moves required to rotate the solved cube into that position. Indeed with the solved position as a starting point, there is a one-to-one correspondence between each of the legal positions of