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
Floppy Cube the Pocket Cube (with over 3.6 million combinations). As explained above, the total number of possible configurations of the Floppy Cube is 192, which is sufficiently small to allow a computer search for optimal solutions. The table below summarises the result of such a search, stating the number "p" of positions that require "n" twists to solve the puzzle: The above table shows that the puzzle is always at most 8 twists away from its solved state (i.e. its God's Number is 8). Similarly to the total number of combinations, this number is very low compared to the Rubik's Cube