V-Cube 6 to the internal mechanism, thus making the puzzle more durable. The V-Cube 6b, which has the same "pillowed" shape as the V-Cube 7, was introduced later. There are 8 corners, 48 edges and 96 centers. 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 96 centers, consisting of four sets of 24 pieces each. Within each set there are four centers of each color. Centers from one set cannot be exchanged with those from another
Helicopter Cube number of permutations is reduced to 24!/(4!) arrangements. The reducing factor comes about because there are 24 (4!) ways to arrange the four pieces of a given colour. This is raised to the sixth power because there are six colours. This gives a total number of permutations of The expanded number is (approximately trillion or 12 trilliard on the long scale or 12 sextillion on the short scale) To count non-cube positions, we need to count all the possible shapes (ignoring the colours). Counting those shapes is tricky, since sometimes moves are blocked purely due to the shape of the