You can't have: one center rotated by 90° and 5 centers oriented correctly.
two centers rotated by 90°, both clockwise or both counterclockwise. two centers rotated by 90°, one clockwise and one counterclockwise. If at least 4 centers are oriented on a 3x3 you can have: Only during the edge permutation step do you have to pay attention to solve the edges correctly around the correctly oriented center or you might end up with the top layer center rotated by 180°. F sexy F', sune, niklas and RDRD for EO, EP, CP and CO respectively all preserve center orientation and are also relatively easy to execute on shapemods where you might not be able to use muscle memory for your last layer algs. 
Using standard insertion techniques for the corners of the first layer and the middle layer edges or intuitive F2L will preserve the already oriented centers.įor the last layer it really depends on the algs you use. Orienting all the centers without relying on the above mentioned algs / intuitive methodsįor example if you use a layer by layer beginner's method you can already intuitively orient 5 of the centers during the cross step. You can execute this Ub-Perm 3 times to rotate the U-center by 90° counter-clockwise and the R-Center by 90° clockwise You can execute this Ua-Perm 3 times to rotate the U-center by 90° clockwise and the R-Center by 90° counter-clockwise
Play around a bit with it and first try it on a normal 3x3 - where after correctly executing, you should not have swapped any pieces at all. front and back by doing E2 moves or rotate them in another direction by doing first U' and then U, or do U2 both times to rotate both centers by 180°. You can easily modify the alg to rotate other centers, e.g. The next 4 moves (M' U' M E') bring the now F-Center (being originally the L-Center) into the top layer (M'), rotate it (U'), bring it back down (M), and align the middle layer (E'). The first 4 moves (M' U M E) put the front center in the top layer (M'), rotate it (U), put it back in the front (M) and shift it to the right (E), bringing the L-Center to the front. The "alg" for rotating 2 centers 90° is pretty intuitive, so don't learn the alg but understand what you are doing:
alternatively you can execute T-Perm twice to rotate the top center by 180°. Rotate one center by 180°ĥ = you do those 4 moves 5 times. This can be different on stickermods (e.g. On a standard cube center pieces are single coloured and don't need to be oriented in a certain way to look solved. Center Orientation on puzzles with non-unique pieces. Orienting all the centers without relying on the above mentioned algs / intuitive methods. Instead, when Superflip is composed with the "four-dot" or "four-spot" position, in which four faces have their centers exchanged with the centers on the opposite face, the resulting position may be unique in requiring 26 moves under QTM. In those terms, the Superflip requires 24 moves, and is not maximally distant from the solved state. Under the more restrictive quarter-turn metric (QTM), only 90° face turns are allowed, so 180° turns count as two "moves". It has been shown that the shortest path between a solved cube and the Superflip position requires 20 moves under the usual half-turn metric (HTM, in which rotating a face 180° counts as a single move), and that no position requires more (although there are many other positions that also require 20 moves). The superflip or 12-flip is a Rubik's Cube configuration in which all 20 of the movable subcubes (or "cubies") are in the correct permutation, and the eight corners are correctly oriented, but all twelve of the edges are oriented incorrectly ("flipped"). Computer graphic of the Superflip pattern
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