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
Bhargava cube the edges of the corresponding faces. The integer binary quadratic form associated with this pair of faces is defined as The quadratic form is also defined as However, the former definition will be assumed in the sequel. Let the cube be formed by the integers "a", "b", "c", "d", "e", "f", "g", "h". The pairs of matrices associated with opposite edges are denoted by ("M", "N"), ("M", "N"), and ("M", "N"). The first rows of "M", "M" and "M" are respectively ["a" "b"], ["a" "c"] and ["a" "e"]. The opposite edges in the same face are the second rows. The