Gear Cube Cube. Three 3x3 cubes are very similar to the original: the Gear Cube Extreme, the Gear Cube Ultimate, and the Even Less Gears Cube. Gear Cube Extreme: Unlike the original Gear Cube with 12 total gears, the Gear Cube Extreme (also known as the Anisotropic Cube) has only eight gears. The top and bottom rows remain gear cogs, whereas the middle layer edge cogs have been removed. Taking away the middle layer cogs and replacing them with standard edges allows for different movement between rows. Due to the added straight edges, the cube can now make 90° turns on two
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