Rotate that face back into its original position. Rotate the selected corner cubie into that face. To get a corner into position, rotate the side face where you want to corner to go by 90 degrees so that that corner is on the bottom. Get the selected edge piece into position, and rotate it to the top. You have to get the top edge pieces into position before the corner pieces The essence of this solution is to find combinations of moves which leave most of the cube invariant. The reason that this is such a slow way to solve the cube is that once we get the first layer into place, in order to make any more progress, we must disrupt what we have already built, shuffle some stuff around, and then reconstitute what we broke up. We solve the top layer first, then the middle layer, and then the bottom. We will solve the Rubik's cube layer-by-layer. D - bottom face or 90 degree clockwise rotation thereof.U - top face or 90 degree clockwise rotation thereof.R - right face or 90 degree clockwise rotation thereof.L - left face or 90 degree clockwise rotation thereof.B - back face or 90 degree clockwise rotation thereof.F - front face or 90 degree clockwise rotation thereof.The 6 central cubies (one per side) will not move while we solve it. We fix an orientation of the cube and hold it constant for the whole time. However, it is far from the quickest.įirst we will need a way to talk about places on the cube and rotation of the cube. The way that we will discuss is called solving by layer, and is conceptually one of the easiest ways to solve the cube. There are a multitude of ways to solve a Rubik's Cube. Some Rubik's Cubes have pictures on their faces instead of solid colors, and with these, one must get the orientations of the central cubies corrected, as well as everything else. Since a normal Rubik's cube has only a single color to a side, it is impossible to tell if a center cubie has been rotated in place. It is possible to solve a Rubik's cube with the center cubies rotated. The puzzle is considered solved when each face has only one color on it. Each plane, from any orientation can be independently rotated any multiple of ninety degrees, permuting the cubies and the colors on the cubies. You get such a decomposition from any of 6 ways of orienting the cube, but they come in pairs, which are the same. Looking at any one of the 6 faces, face on, you can divide the cube into 3 planes, where the plane closest to you contains 9 cubies, the plane farthest away also contains 9 cubies, and the plane in the middle contains 8 cubies. There are 12 edge cubies which each lie on the edges of 2 faces, and 6 center faces, which each lie on only one face.Įach face of each cubie has one of 6 different colors. There are 8 corner cubies which lie on the corners of three faces. There are a total of 26 of these smaller cubes, also affectionately referred to as cubies. The device is a cube, where each side is subdivided further into nine more smaller cubes in a 3-by-3 grid. A Rubik's Cube is a 3-dimensional mechanical puzzle invented in 1974 by Erno Rubik.
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