Pocket Cube court affirmed the judgment that Rubik's 2×2×2 Pocket Cube infringed Nichols's patent, but overturned the judgment on Rubik's 3×3×3 Cube. Any permutation of the eight corners is possible (8! positions), and seven of them can be independently rotated (3 positions). There is nothing identifying the orientation of the cube in space, reducing the positions by a factor of 24. This is because all 24 possible positions and orientations of the first corner are equivalent due to the lack of fixed centers. This factor does not appear when calculating the permutations of N×N×N cubes where N is odd, since those puzzles
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