Diabolical cube Diabolical cube The diabolical cube is a three-dimensional dissection puzzle consisting of six polycubes (shapes formed by gluing cubes together face to face) that can be assembled together to form a single 3 × 3 × 3 cube. The six pieces are: one dicube, one tricube, one tetracube, one pentacube, one hexacube and one heptacube, that is, polycubes of 2, 3, 4, 5, 6 and 7 cubes. There are many similar variations of this type of puzzle, including the Soma cube and the Slothouber–Graatsma puzzle, two other dissections of a 3 × 3 × 3 cube into polycubes which use
Floppy Cube the Pocket Cube (with over 3.6 million combinations). As explained above, the total number of possible configurations of the Floppy Cube is 192, which is sufficiently small to allow a computer search for optimal solutions. The table below summarises the result of such a search, stating the number "p" of positions that require "n" twists to solve the puzzle: The above table shows that the puzzle is always at most 8 twists away from its solved state (i.e. its God's Number is 8). Similarly to the total number of combinations, this number is very low compared to the Rubik's Cube