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
Yoshimoto Cube Yoshimoto Cube The Yoshimoto Cube is a polyhedral mechanical puzzle toy invented in 1971 by , who discovered that two stellated rhombic dodecahedra could be pieced together into a cube when he was finding different ways he could split a cube equally in half. Yoshimoto first introduced his cube in 1972 at a solo exhibition entitled "From Cube to Space," and later developed three commercial versions. In 1982, Yoshimoto Cube No. 1 was included in the Museum of Modern Art's permanent collection. The cube is made up of eight interconnected cubes which can be folded or unfolded indefinitely. The unfolded