Rubik's Cube (which has over 43 quintillion combinations), the Pocket Cube (with over 3.6 million combinations), or even the Pyraminx (with just over 930 thousand combinations, excluding rotations of the trivial tips). Optimal solutions As explained above, the total number of possible configurations of the Pyraminx Duo is 324, 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 Pyraminx Duo: The above table shows that the God's Number of the Pyraminx Duo is 4 (i.e. the puzzle is always at most 4 twists away from its solved state). Similarly to the total number of combinations, this number is very low compared to the Rubik's Cube (20), the Pocket Cube (11) or the Pyraminx (11, excluding the trivial tips). Solving Due to its substantially low number of combinations and its low God's Number, the Pyraminx Duo is a relatively easy puzzle to solve; it has been described as "arguably the easiest non-trivial twisty puzzle". Because of this, cubers usually come up with their own methods of solving the puzzle. For an extra challenge, it is also not uncommon for cubers to invent their own "optimal" methods - i.e. methods that guarantee to solve the puzzle in no more than 4 moves. Variations There are several variations of the Pyraminx Duo that have been invented. These variations all look the same as the original puzzle but use different colour schemes; usually these colour schemes make the orientations of the face centre pieces visible, which makes the puzzle slightly more challenging. See also Pyraminx Skewb References Combination puzzles Mechanical puzzles