Helicopter Cube a 6-member cycle, often referred to as its "orbit". Face center pieces in different orbits cannot be interchanged using only 180° twists. However, jumbling moves are able to permute face center pieces between different orbits, thus leaving the puzzle in a state that cannot be solved by 180° twists alone. Assume that Helicopter Cube is scrambled without jumbling moves (i.e. mixed with only 180 degree twists). Any permutation of the corners is possible, including odd permutations. Seven of the corners can be independently rotated, and the orientation of the eighth depends on the other seven, giving 8!×3 combinations. There are
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