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
Sudoku Cube are the Sudokube and Roxdoku, as well as cubes with 4×4×4 squares instead of the normal 3×3×3. This cube is very difficult compared to other cubes because as well as requiring basic knowledge of a Rubik's cube, the player must also know basic sudoku concepts. Any wrong move could put the puzzle in jeopardy. 3-D programming languages such as VPython can be used to create simulations of a Sudoku Cube. Such simulations can offer features such as scaling the sudokube (to create 4×4×4 or 5×5×5 puzzles), saving, resetting, undoing, and the option to design one's own sudokube patterns. Sudoku Cube