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
Floppy Cube 4 corner pieces, which can be permutated in 4! different ways. They cannot be flipped; their orientation is fully determined by their location. The whole puzzle also has a parity constraint: the parity of the corner permutation is the same as the parity of the number of flipped edges. This divides the full number by 2. The full number of possible combinations on the Floppy Cube is therefore: In relative terms, this number is extremely low compared to other puzzles like the Rubik's Cube (with over 43 quintillion combinations), the Rubik's Domino (which has just under 410 million combinations), or