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 and "B" Petrie polygon projections (2("n" − 1) and "n" dihedral symmetry) of the related polytope which can include overlapping edges and vertices. Halved cube graph In graph theory, the halved cube graph or half cube graph of order "n" is the graph of the demihypercube, formed by connecting pairs of vertices at distance exactly two from each other in the hypercube graph. That is, it is the half-square of the hypercube. This connectivity pattern produces two isomorphic graphs, disconnected from each other, each of which is the halved cube graph. The construction of the halved cube graph can be