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
Soma cube 1967, it was marketed in the U.S. for several years by the game manufacturer Parker Brothers. Plastic Soma cube sets were also commercially produced by Parker Brothers in several colors (blue, red, and orange) during the 1970s. The package for the Parker Brothers version claimed there were 1,105,920 possible solutions. This figure includes rotations and reflections of each solution as well as rotations of the individual pieces. The puzzle is currently sold as a logic game by ThinkFun (formerly Binary Arts) under the name Block by Block. Solving the Soma cube has been used as a task to measure individuals'