Floppy Cube turning - i.e. an edge piece may only twist if there is at least one corner piece adjacent to it. The mass-produced version does not feature this mechanism, which allows edge pieces to twist "on their own" - causing the puzzle to be considerably easier. The four edge pieces now have 4 orientations each on the Super Floppy Cube (compared to the Floppy Cube's 2); therefore, the edges can now be orientated in 4 different ways. However, the edges still cannot be permutated. There are now 12 different locations that the four corner pieces could be located in (up from
Rubik's Cube group define orientation. One choice is the following group, given by generators (the last generator is a 3 cycle on the edges): Since "C" is a normal subgroup and the intersection of "C" and "C" is the identity and their product is the whole cube group, it follows that the cube group "G" is the semi-direct product of these two groups. That is Next we can take a closer look at these two groups. The structure of "C" is since the group of rotations of each corner (resp. edge) cube is formula_30 (resp. formula_31), and in each case all but one