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
Nine-Colour Cube the puzzle and called it the Kokonotsu Pillow. Just like a regular Rubik's Cube, the Nine-Colour Cube consists of 6 face centre pieces, 12 edge pieces and 8 corner pieces; each twist rotates one face centre piece and moves the four edge and four corner pieces that surround it. However, the difference between the two puzzles is their purpose: on a standard Rubik's Cube, the aim is to arrange the puzzle in such a way that every face has only "one colour"; on the Nine-Colour Cube, the goal is opposite: to arrange it so that every face contains "all nine