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Big Cube PLL Algorithms PDF

This document provides PLL algorithms for big cubes beyond the 3x3, summarized as follows: 1) It presents algorithms for the 12 PLL cases involving permutations of edges only or corners only in 1-3 sentences each. 2) It also provides algorithms to swap one set of adjacent corners or one set of diagonal corners in 1-3 sentences per case. 3) Finally, it lists 6 algorithms for the G permutations (double cycles) in 1-3 sentences each. The algorithms are presented with notation to assist with memorization and execution.

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Richy Udil
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1K views2 pages

Big Cube PLL Algorithms PDF

This document provides PLL algorithms for big cubes beyond the 3x3, summarized as follows: 1) It presents algorithms for the 12 PLL cases involving permutations of edges only or corners only in 1-3 sentences each. 2) It also provides algorithms to swap one set of adjacent corners or one set of diagonal corners in 1-3 sentences per case. 3) Finally, it lists 6 algorithms for the G permutations (double cycles) in 1-3 sentences each. The algorithms are presented with notation to assist with memorization and execution.

Uploaded by

Richy Udil
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PLL Algorithms for Big Cubes

Developed by Feliks Zemdegs


and Andy Klise

Algorithm Presentation Format

Round brackets are used to segment algorithms to


assist memorisation and group move triggers.
Suggested algorithm here
Alternative algorithms here Moves in square brackets at the end of algorithms
PLL Case Name - Probability = 1/x denote a U face adjustment necessary to complete
the cube from the states specified.

Purple text denotes either a change in the


suggested algorithm (from the 3x3 PLL Algorithm
PDF) or an entire new algorithm.

Permutations of Edges Only

R2 U (R U R' U') R' U' (R' U R') (R U' R U) R U (R U' R' U') R2
y2 (R' U R' U') R' U' (R' U R U) R2' y2 (R U R' U) (R' U' R2 U') R' U R' U R [U2]
y2 (R2 U' R' U') R U R U (R U' R)
Ub - Probability = 1/18 Ua - Probability = 1/18

y' (R' U' R U') (R U R U') (R' U R U) (R2 U' R')


(R2 U2' R U2') (R2' U2' R2 U2') (R U2' R2')
[U2]
H - Probability = 1/72
Z - Probability = 1/36

Permutations of Corners Only

x (R' U R') D2 (R U' R') D2 R2 x' x R2' D2 (R U R') D2 (R U' R) x'


y x' R2 D2 (R' U' R) D2 (R' U R') x y x' (R U' R) D2 (R' U R) D2 R2' x
Aa - Probability = 1/18 Ab - Probability = 1/18

y (R2 U R' U') y (R U R' U') (R U R' U') (R U R') y'


(R U' R2')
E - Probability = 1/36
Swap One Set of Adjacent Corners

(R U R' F') (R U2' R' U2') (R' F R U) (R U2' R')


(R' U2 R U2') R' F (R U R' U') R' F' R2 [U']
[U']
Rb - Probability = 1/18
Ra - Probability = 1/18

(R' U L' U2) (R U' R' U2 R) L [U'] (R U R' F') (R U R' U') R' F R2 U' R' [U']
y (R' U2 R U R' U2) (L U' R U L')
Ja - Probability = 1/18 Jb - Probability = 1/18

(R' U' F')(R U R' U')(R' F R2 U')(R' U' R U)(R' U R)


(R U R' U') (R' F R2 U') R' U' (R U R' F')
y (R' U2 R' U') y (R' F' R2 U') (R' U R' F) R U' F
T - Probability = 1/18
F - Probability = 1/18

Swap One Set of Diagonal Corners

(R' U R' U') y (R' F' R2 U') (R' U R' F) R F F (R U' R' U') (R U R' F') (R U R' U') (R' F R F')
V - Probability = 1/18 Y - Probability = 1/18

(RUR'U)(RUR'F')(RUR'U')(R'FR2U') R' U2 (RU'R') (R' U R U') (R' F' U' F) (R U R' F) R' F' (R U' R)
z (U R' D) (R2 U' R D') (U R' D) (R2 U' R D') [R'] z' (R' U L' U2 R U' L) (R' U L' U2 R U' L) [U]
Na - Probability = 1/72 Nb - Probability = 1/72

G Permutations (Double cycles)

R2 U (R' U R' U') (R U' R2) D U' (R' U R D') [U]


y (R U R' F') (R U R' U') (R' F R U') (R' F R2 U') (F' U' F) (R2 u R' U) (R U' R u') R2'
R' U' (R U R' F') [U'] y' D (R' U' R U) D' (R2 U R' U) (R U' R U') R2' [U']
Gb - Probability = 1/18
Ga - Probability = 1/18

D' (R U R' U') D (R2 U' R U') (R' U R' U) R2 [U]


y2 R2' F2 (R U2' R U2') R' F (R U R' U') R' F R2 (R U R' F') (R U R' U) (R U' R' U') (R' F R2 U)
R2 U' (R U' R U) (R' U R2 D') (U R U' R') D [U'] (R' U' R U' R')
Gc - Probability = 1/18 Gd - Probability = 1/18

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