![]() Of course it may sometimes be necessary to push side edge pieces to the top face before pulling them into the right place. ![]() Now solve 3 of the side edges for each of them turn the bottom face so that the unsolved bottom corner is below the desired side edge position, and then it is easy to pull the edge piece in with the correct orientation without messing up the bottom face except for the unsolved corner. Finally, we show that finding this optimal solution becomes NP- hard in an n×n×1 Rubiks Cube when the positions and colors of some of the cubies are ignored (. How can I solve a Rubiks cube Arrange the cube so the side facing up has a cross made from white cubes with the side of the cross having matching colours. Then solve 3 of the bottom corners (without messing up the bottom edges). Here is a simple one that is still partly based on group theory but quite ad-hoc, even though everything makes sense and so does not require any memory work.įirst solve the bottom edges. The above method works for Rubik's cubes of any size as well as closely related puzzles, but of course the cube structure yields more efficient methods. A commutator is any sequence of moves of the form $ABA^$ Rubik's cube There’s only so far that the original method can carry a solver in terms of speed, so many more have been. Puzzlers may choose to either practice the speed aspect of the cube whilst others may choose to discover different modifications and different puzzles. The first ingredient is called a commutator. For some, solving the Rubik’s Cube, although a massive achievement, isn’t enough. Do this for every edge until you have a white cross on top. Then apply this algorithm: F R' D' R F2 This algorithm will flip the edge so the white part is facing upwards. It is usually the case that the same permutation of pieces can be achieved with different resulting orientations. Hold the cube so that one of the edges that needs to be flipped is facing you. Later when I refer to permutations such as cycles, it refers to the permutations of positions. I can tell you with the greatest confidence that, despite other answers, this is the fastest method to solve the Rubik’s cube. A piece may be in the right position but wrong orientation. Answer (1 of 3): The fastest popularized method is ZB (Zborowski-Bruchem), and there is no doubt in that. It has a position and it has an orientation. This will make an upside down T with one color. Now, turn the top layer of the cube to match either of the before pictures below. In many puzzles, there are two properties for each piece. Before you start this step, flip the cube over so the face that is complete is now the bottom. Here is a practical solution based on elementary group theory that can be used to solve many permutation puzzles.
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