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
Halved cube graph in the original graph. For instance, the halved cube graph of order four may be formed from an ordinary three-dimensional cube by keeping the cube edges and adding edges connecting pairs of vertices that are on opposite corners of the same square face. The halved cube graph formula_2 of order 3 is the complete graph "K", the graph of the tetrahedron. The halved cube graph formula_3 of order 4 is "K", the graph of the four-dimensional regular polytope, the 16-cell. The halved cube graph formula_4 of order five is sometimes known as the Clebsch graph, and is the complement of