ELL

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Edges of Last Layer, or normally ELL, is a method that solves the last layer edges of the 3x3x3 in one algorithm as the last step in the solution, normally after performing CLL to solve the last layer corners.

ELL is also used for a method of solving the last layer edges on larger cubes. Since there are 8 of each type of wing, though, ELL for larger cubes requires more than one algorithm.

Intuitive:

If you like to find algs for ELL in the MU-group, then knowing these short "proto algs" will help a lot:

  • O = M' U M ... Orient
  • O' = M' U' M ... Orient inverse
  • P = M' U2 M ... Permute

If you combine these and also insert U-turns you can find optimal or near optimal algs for most ELL's

Example, 4-flip: P U2 O U2 P U' ... P U2 sets up for O that flips four edges (O' works the same in this case, choose the fastets), U2 P is restoration of the setup and last U is AUF.

2-look ELL:

Use any ELL-alg that orients what you currently got (2-flip adj/op or 4-flip) from the listings below and finnish it using EPLL. Most OLL's that preserves corner orientation will probably also do for the first look but don't count on it, some may change corner permutation while orienting the edges.

ELL Algorithms

Note that all of these algorithms are written in the Western notation, where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

Click on an algorithm (not the camera icon) to watch an animation of it.

The naming convention here is; wich edges are fliped if they where permuted and which EPLL would it be if all was correctly oriented.

Pure flips

2-flip (Adjacent)

Alg r U R' U' r' U2 R U R U' R2 U2 R
Alg M U M' U2 M U M U M U2 M' U M2
Alg (x') U2 M2 U R U' M2 U2 M' U' R' U M


2-flip (Opposite)

Alg M' U' M' U' M' U2 M U' M U' M U2
Alg M' d' M d' M' U2 M d M' d M U2


4-flip

Alg M' U2 M U2 M' U' M U2 M' U2 M U


Smile =)

EPLL's

Please do not add algs to the EPLL section, the ones here are just examples, all EPLL's are at the PLL-page, put your contributions there too, else we will end up having to separate lists and we don't want that.


U-PLL a

Alg F2 U M' U2 M U F2
Alg M2 U' M U2 M' U' M2
Alg R U' R U R U R U' R' U' R2


U-PLL b

Alg F2 U' M' U2 M U' F2
Alg M2 U M U2 M' U M2
Alg L' U L' U' L' U' L' U L U L2


Z-PLL

Alg M2 U' M E2 M E2 U M2
Alg U2 M2 U' M2 U' M2 (x') U2 M2 U2
Alg L F U' R U R' F' L' F U R U' R' F'


H-PLL

Alg R L U2 R' L' (y) R' L' U2 R L
Alg M2 U' M2 U2 M2 U' M2
Alg R2 U2 R U2 R2 U2 R2 U2 R U2 R2


B edge solved (3-cycles)

RF-flip U-PLL a

Alg M U M' U2 M U M'
Alg (y') R U2 R' F' L' B' U2 B L F
Alg (y' x') U2 M2 U R U' M2 U R' U


LF-flip U-PLL b

Alg M U' M' U2 M U' M'
Alg (y) L U2 L F R B U2 B' R F'
Alg (y x') U2 M2 U' L' U M2 U' L U'


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

RL-flip U-PLL a

Alg (y' x') U' R U M' U' R' U M


RL-flip U-PLL b

Alg (y x') U L' U' M' U L U' M


LF-flip U-PLL a

Alg (y x') M' U L' U' M U L U'


RF-flip U-PLL b

Alg (y' x') M' U' R U M U' R' U


B edge in position but fliped

The first six cases in this group are the worst of ELL, and that counts for both recognition and solving :-/


4-flip U-PLL a

Alg (y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M
Alg (y) M' U M U' M' U' M U' M' U' M U2 M' U M


4-flip U-PLL b

Alg (y) U L2 U2 (y) M U M' d L2 d M' U2 M
Alg (y) M' U' M U M' U M U M' U M U2 M' U' M


The following four cases are mirror + inverses of the first so you only need '1 alg' for all.

Mirror to the side and inverse in diagonal.

BF-flip U-PLL a

Alg M' U' M' U2 M' U M U' M' U2 M U M2

BF-flip U-PLL b

Alg M' U M' U2 M' U' M U M' U2 M U' M2


BL-flip U-PLL a

Alg M2 U M' U2 M U' M' U M U2 M U' M
Alg M2 D R2 D S' D' R2 S2 D' S' M2
Alg (y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'
Alg (y') U' M' U M2 U' M' U F2 U M U' M' F2


BR-flip U-PLL b

Alg M2 U' M' U2 M U M' U' M U2 M U M
Alg M2 D' L2 D' S D L2 S2 D S M2
Alg (y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R
Alg (y) U M' U' M2 U M' U' F2 U' M U M' F2


BR-flip U-PLL a

Alg (y) M' U' M' U2 M U' M2 U' M' U

BL-flip U-PLL b

Alg (y') M' U M' U2 M U M2 U M' U'


No edges in position

RF-flip Z-PLL

Alg M U' M' U2 M U' M U' M' U2 M U' M2


RB-flip Z-PLL

Alg U2 M' U M U M' U2 M U' M' U' M


RL-flip Z-PLL

Alg M' U M U' M' U M U M' U2 M


FB-flip Z-PLL

Alg (y) M' U' M U M' U' M U' M' U2 M


4-flip Z-PLL

Alg F2 M F2 U' M2 U B2 M B2
Alg (x) U2 M U2 (x') U' M2 U (x') U2 M U2
Alg M U' M' U2 M U' M2 U M U2 M' U M


4-flip H-PLL

Alg M' U2 M' U2 M' U' M U2 M U2 M U


LB-flip H-PLL

Alg M' U' M U' M' U' M U' M' U' M U


FB-flip H-PLL

Alg M' U M U2 M' U (x') U' R U M U' R' U


See Also

External Links


ELL 1: UF-BU-UF UL-RU-UL: (R2' U2 Lw) D2 (x) U2' (R2 F) (R2 (U2'(x')) D2 (x) R' U2 R2 U

ELL 2: (UF, UB, UL, UR): U R2 U2' R' F2 U2' R2' F R Lw F2 D2 R F2 R2'

ELL 3: UF-LU-UR-FU (UB): F U R U' R' Bw' R2 (z') R' U' R' F R F' U R U2

ELL 4: UF-RU-UL-FU (UB): U R' U' R' F R F' y' R' U2 R2 U2' R2' U' R2 U' R' U y R U

ELL 5: UF-RU-UF UL-BU-UL: R2' U2 Lw D x U2' R2' U2 F2 R2 U2' R2' F R' U2' R2

ELL 6: (UF, UB): R F R U R' F' R' F U' y' R2' U2 R U' R' U' R

ELL 7: UF-BU-UF UL-UR-UL: R' U2 R U' R' U' R' F R2 U R' U' R' F' R2

ELL 8: UF-RU-FU UL-BU-FU: R2' U R' U' R F R2 U R U' F' U R2

ELL 9: UF-LU-RU-FU (UB): U' F R2 U' R' F U R2 U' R' F' U R U F' U

ELL 10: UF-RU-LU-FU (UB): R' F2 U F R' U' F2 U F R U' F' U' R

ELL 11: UF-RU-BU-UF: R U R' U' M' U R U' r'

ELL 12: UF-BU-UR-UF: L R' U' R U M U' R' U