Difference between revisions of "ELL"

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Revision as of 08:01, 31 July 2010

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. There are 29 cases in ELL, of these are three pure flips, four are EPLL and six cases are 3-cycles (besides the two in EPLL), all useful also for other methods, like BLD.

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 look due to the large number of cases, see KBCM for a compleate 3-look ELL for the 4x4x4 cube.

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 ELLs

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 (3 cases) from the listings below and finnish it using EPLL (4 cases). Most OLLs 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.

Another way to solve ELL in 2 looks is to use L5E, but that is desigend for solving one more edge than this is so there will be nearly the same number of algs as full ELL (5+16).

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)

ELL 2-flip (a).jpg

Speedsolving Logo tiny.gif Alg r U R' U' r' U2 R U R U' R2 U2 R
Speedsolving Logo tiny.gif Alg M U M' U2 M U M U M U2 M' U M2
Speedsolving Logo tiny.gif Alg (y) M2 U M U2 M' U M' U M' U2 M U M'
Speedsolving Logo tiny.gif Alg (x') U2 M2 U R U' M2 U2 M' U' R' U M


2-flip (Opposite)

ELL 2-flip (b).jpg

Speedsolving Logo tiny.gif Alg M' U' M' U' M' U2 M U' M U' M U2
Speedsolving Logo tiny.gif Alg M' d' M d' M' U2 M d M' d M U2


4-flip

ELL 4-flip.jpg

Speedsolving Logo tiny.gif Alg M' U2 M U2 M' U' M U2 M' U2 M U
Speedsolving Logo tiny.gif Alg M' U M' U M' U M' U2 M' U M' U M' U M'


Smile =)

EPLLs

Please do not add algs to the EPLL section, the ones here are just examples, all EPLLs 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

ELL U-PLL (a).jpg

Speedsolving Logo tiny.gif Alg F2 U M' U2 M U F2
Speedsolving Logo tiny.gif Alg M2 U' M U2 M' U' M2
Speedsolving Logo tiny.gif Alg R U' R U R U R U' R' U' R2


U-PLL b

ELL U-PLL (b).jpg

Speedsolving Logo tiny.gif Alg F2 U' M' U2 M U' F2
Speedsolving Logo tiny.gif Alg M2 U M U2 M' U M2
Speedsolving Logo tiny.gif Alg L' U L' U' L' U' L' U L U L2


Z-PLL

ELL Z-PLL.jpg

Speedsolving Logo tiny.gif Alg M2 U' M E2 M E2 U M2
Speedsolving Logo tiny.gif Alg U2 M2 U' M2 U' M2 (x') U2 M2 U2
Speedsolving Logo tiny.gif Alg L F U' R U R' F' L' F U R U' R' F'


H-PLL

ELL H-PLL.jpg

Speedsolving Logo tiny.gif Alg R L U2 R' L' (y) R' L' U2 R L
Speedsolving Logo tiny.gif Alg M2 U' M2 U2 M2 U' M2
Speedsolving Logo tiny.gif Alg R2 U2 R U2 R2 U2 R2 U2 R U2 R2


B edge solved (3-cycles)

RF-flip U-PLL a

ELL 3RF (a).jpg

Speedsolving Logo tiny.gif Alg M U M' U2 M U M'
Speedsolving Logo tiny.gif Alg (y2) M' U M U2 M' U M
Speedsolving Logo tiny.gif Alg (y') R U2 R' F' L' B' U2 B L F
Speedsolving Logo tiny.gif Alg (y'x') U2 M2 U R U' M2 U R' U


LF-flip U-PLL b

ELL 3LF (b).jpg

Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M'
Speedsolving Logo tiny.gif Alg (y2) M' U' M U2 M' U' M
Speedsolving Logo tiny.gif Alg (y) L U2 L F R B U2 B' R F'
Speedsolving Logo tiny.gif 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

ELL 3RL (a).jpg

Speedsolving Logo tiny.gif Alg (y' x') U' R U M' U' R' U M
Speedsolving Logo tiny.gif Alg (y') r' U' R U M' U' R' U R


RL-flip U-PLL b

ELL 3RL (b).jpg

Speedsolving Logo tiny.gif Alg (y x') U L' U' M' U L U' M
Speedsolving Logo tiny.gif Alg (y') r U R' U' M U R U' R'


LF-flip U-PLL a

ELL 3LF (a).jpg

Speedsolving Logo tiny.gif Alg (y x') M' U L' U' M U L U'
Speedsolving Logo tiny.gif Alg (y') R U R' U' M' U R U' r'


RF-flip U-PLL b

ELL 3RF (b).jpg

Speedsolving Logo tiny.gif Alg (y' x') M' U' R U M U' R' U
Speedsolving Logo tiny.gif Alg (y') R' U' R U M U' R' U r


B edge in position but flipped

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

ELL U4 (a).jpg

Speedsolving Logo tiny.gif Alg (y') U' R2 U2 (y') M U' M' d' R2 d' M' U2 M
Speedsolving Logo tiny.gif Alg (y) M' U M U' M' U' M U' M' U' M U2 M' U M
Speedsolving Logo tiny.gif Alg M' U M U M' U2 M' U M' U M U M' U M'


4-flip U-PLL b

ELL U4 (b).jpg

Speedsolving Logo tiny.gif Alg (y) U L2 U2 (y) M U M' d L2 d M' U2 M
Speedsolving Logo tiny.gif Alg (y) M' U' M U M' U M U M' U M U2 M' U' M
Speedsolving Logo tiny.gif Alg M' U' M U' M' U2 (M' U')*2 M (U' M')*2


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

ELL U2AF (a).jpg

Speedsolving Logo tiny.gif Alg M' U' M' U2 M' U M U' M' U2 M U M2
Speedsolving Logo tiny.gif Alg M U' M' U M' U M' U' M' U' M U M2


BF-flip U-PLL b

ELL U2AF (b).jpg

Speedsolving Logo tiny.gif Alg M' U M' U2 M' U' M U M' U2 M U' M2
Speedsolving Logo tiny.gif Alg M U M' U' M' U' M' U M' U M U' M2


BL-flip U-PLL a

ELL U2OL (a).jpg

Speedsolving Logo tiny.gif Alg M2 U M' U2 M U' M' U M U2 M U' M
Speedsolving Logo tiny.gif Alg M2 D R2 D S' D' R2 S2 D' S' M2
Speedsolving Logo tiny.gif Alg (y) R' U' R (x) U (x) U R2 U' R' (x') U' (x') U R2 U2 R'
Speedsolving Logo tiny.gif Alg (y') U' M' U M2 U' M' U F2 U M U' M' F2
Speedsolving Logo tiny.gif Alg (y2) M2 U M U' M' U' M' U M' U M' U' M
Speedsolving Logo tiny.gif Alg U' F R2 U' R' F U R2 U' R' F' U R U F' U


BR-flip U-PLL b

ELL U2OR (b).jpg

Speedsolving Logo tiny.gif Alg M2 U' M' U2 M U M' U' M U2 M U M
Speedsolving Logo tiny.gif Alg M2 D' L2 D' S D L2 S2 D S M2
Speedsolving Logo tiny.gif Alg (y) R U R' (x') U' (x') U' R2 U R (x) U (x) U' R2 U2 R
Speedsolving Logo tiny.gif Alg (y) U M' U' M2 U M' U' F2 U' M U M' F2
Speedsolving Logo tiny.gif Alg (y2) M2 U' M U M' U M' U' M' U' M' U M
Speedsolving Logo tiny.gif Alg R' F2 U F R' U' F2 U F R U' F' U' R


BR-flip U-PLL a

ELL U2AR (a).jpg

Speedsolving Logo tiny.gif Alg (y) M' U' M' U2 M U' M2 U' M' U
Speedsolving Logo tiny.gif Alg (y2) M' U' M'2 U' M U2 M' U' M'


BL-flip U-PLL b

ELL U2AL (b).jpg

Speedsolving Logo tiny.gif Alg (y') M' U M' U2 M U M2 U M' U'
Speedsolving Logo tiny.gif Alg (y2) M' U M2 U M U2 M' U M'

No edges in position

LF-flip Z-PLL

ELL Z2AFR.jpg

Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M U' M' U2 M U' M2
Speedsolving Logo tiny.gif Alg (y') F R U R' U' F2 L' U' L U F

LB-flip Z-PLL

ELL Z2ABR.jpg

Speedsolving Logo tiny.gif Alg (y2) M' U M U M' U2 M U' M' U' M


RL-flip Z-PLL

ELL Z2ORL.jpg

Speedsolving Logo tiny.gif Alg M' U M U' M' U M U M' U2 M


FB-flip Z-PLL

ELL Z2OFB.jpg

Speedsolving Logo tiny.gif Alg (y) M' U' M U M' U' M U' M' U2 M


4-flip Z-PLL

ELL Z4.jpg

Speedsolving Logo tiny.gif Alg F2 M F2 U' M2 U B2 M B2
Speedsolving Logo tiny.gif Alg (x) U2 M U2 (x') U' M2 U (x') U2 M U2
Speedsolving Logo tiny.gif Alg M U' M' U2 M U' M2 U M U2 M' U M
Speedsolving Logo tiny.gif Alg (y) M' U M U2 M' U M'2 U' M' U2 M U' M'


4-flip H-PLL

ELL H4.jpg

Speedsolving Logo tiny.gif Alg M' U2 M' U2 M' U' M U2 M U2 M U
Speedsolving Logo tiny.gif Alg r U R' U' M2 U R U' R' U' M'
Speedsolving Logo tiny.gif Alg M U R U R' U' M2 U R U' r'
Speedsolving Logo tiny.gif Alg (x) U R' U' M2 U R U' M' (x') U' M' U

LB-flip H-PLL

ELL H2A.jpg

Speedsolving Logo tiny.gif Alg M' U' M U' M' U' M U' M' U' M U
Speedsolving Logo tiny.gif Alg (y) M' U M U M' U M U M' U M U'


FB-flip H-PLL

ELL H2O.jpg

Speedsolving Logo tiny.gif Alg M' U M U2 M' U (x') U' R U M U' R' U
Speedsolving Logo tiny.gif Alg M' U M2 U2 M' U M' U2 M' U' M U' M

See Also

External Links


It would be nice if someone is willing to test these algs and move them to their correct cases (they was already at this page before the large remake).

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