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...ecause it is actually 2 swaps A<->B and A<->C. It should be noted that the parity of any sequence of moves is well-defined, meaning that a move which can be ...ge group the appearance of being a flipped [[3x3x3]] edge. This leads to a case that is impossible to solve using outer layer turns only, and must be solve ...

- OLL (Possible Parity) - PLL (Possible Parity) ...

...ating the U-layer. If its only possible to align two then it is the PARITY case. ...Granted, it is questionable how much can be gained from memorizing every case. Some will save upwards of five moves while others none at all. Neverthel ...

...not one of the normal 21 found on the [[3x3x3]] - that is, we can get a '''Parity PLL'''. ...mply be solved by doing a parity algorithm and then solving the normal PLL case, but it may be faster to have a one-look alg for them, depending on the puz ...

...ly one possible way for a valid PLL. This is due to [[Permutation Parity | parity]]. ...fore, it is possible to tell exactly where each LL piece is (and which PLL case it is). ...

...ating the U-layer. If its only possible to align two then it is the PARITY case.) ...

4. Place the remaining three edges using up to 2 sledgehammer algorithms. If parity occurs, use a J-perm to swap the two edges ...ing corners using the Sledgehog method. The first and most straightforward case method is where one corner is solved, and the other three are cycled. Most ...

...ces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom la ..., better to try some different start of the last layer that gives a easier case in the end). ...

|algs= 52 (1 OLL parity, 42 COLL, 9 EPLL+parity) # Petrus style EO Plus fixing parity ...

*The 4th step is really fast (without pauses) since you can see the [[IPFL]] case before permuting the last layer M2 U2 M2 '''// Parity error fix''' ...

# Flip final bad dedges (including orientation parity) # EPLL including PLL parity (1 step) ...

...c-A5UBpNPvsEOb7eWaEtIFo/edit?gid=1032942690#gid=1032942690 CSP (Cube Shape Parity)]''' [329 cases] : Turn the puzzle into a cubic shape while solving the edge parity. ...

Yes, there are some case description images missing but I lost the originals while I was working on The image for the first case shows the way the edges are labeled; they are initially placed at positions ...

# Solve [[F2L]] + [[LL]] (3x3) and [[PLL Parity]]. ...we will need an OLL parity algorithm to deal with this rare case. The OLL parity algorithm will be much shorter since F2L doesn’t have to be preserved. An a ...

...orange/red) being placed opposite each other. This leaves edges either in parity (opposite but not permuted) or solved (permuted). ...ay of achieving this is by first phasing, then if you notice that you have parity employing this algorithm: ...

With the 2 at the end because of odd-even parity. ...ases which are the same, but rotated by 90, 180 or 270 degrees as the same case, the number of cases becomes: ...

...ves or get a better CMLL. In some cases you can also do setup moves to OLL Parity and then undo them to solve the CMLL. ...that after the 1x3x4 block on the left is formed, a second block, in this case, a 1x3x3 block on the right, is formed. This is to reduce the number of edg ...

:* 3-2. Recognize the case using 3 other corners on top and execute it. : Recognize the case by opposite edge pairs. ...

...state of this one is the [[U/D Oriented & Separated + Belt cube state (no parity)]]. Use the [[PUL]] step to have the '''OLL cube state''', as in the [[ZZ-1 ...state of this one is the [[PLL w/Parity on E cube state]]. Use the [[E edg parity fix]] step to have the '''OLL cube state'''. ...