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
36 Cube mechanical puzzle that must be played on a manufactured grid. Therefore, it requires some abstract thinking, and a certain amount of special insight. The 36 Cube is, however, subtly different from the 36 officer problem. Careful inspection of the pieces reveals that two of the pieces are special. These two pieces will fit on certain parts of the base differently from other pieces of the same height. With this subtle modification, there are in fact 96 possible solutions to the 36 Cube puzzle. 36 Cube The 36 Cube is a three-dimensional sudoku puzzle created by ThinkFun. The puzzle consists of