Helicopter Cube a 6-member cycle, often referred to as its "orbit". Face center pieces in different orbits cannot be interchanged using only 180° twists. However, jumbling moves are able to permute face center pieces between different orbits, thus leaving the puzzle in a state that cannot be solved by 180° twists alone. Assume that Helicopter Cube is scrambled without jumbling moves (i.e. mixed with only 180 degree twists). Any permutation of the corners is possible, including odd permutations. Seven of the corners can be independently rotated, and the orientation of the eighth depends on the other seven, giving 8!×3 combinations. There are
Minus Cube to fall into the space. The goal of the puzzle is to shuffle the cubes in such a way that on each side of the box, all of the faces of the small cubes are one color. There were two types of Minus Cubes manufactured: the so-called "Moscow Minus Cube" (red-white) and "Sverdlovsk Minus Cube" (blue-white), each named after the cities in which they were produced. They differed only in the orientation of one of the small cubes. Because of this difference there are 12 times as many "solved" arrangements for the Moscow Minus Cube, and thus the Sverdlovsk Minus