ELL
From Speedsolving.com Wiki
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.
For orientation, there are 4 possibilities.
1. OLL #28
2. OLL #57
3. OLL #20
4. All edges oriented correctly.
For permutation, there are also 4 possibilities.
Both U permutations can be oriented in 4 ways, the Z permutation in 2 ways, and the H permutation is always the same, so 1 orientation.
Because OLL #20 always is symmetrical, for this orientation, there are 5 possible ELL cases. OLL #28 has two orientations: The incorrectly oriented edges on UL and UR, and on UF and UB. This means that there are 8 ELL cases possible. OLL #57 has four orientations. This means that there are 12 possible ELL cases. We have 5 possibilities if all edges are correctly oriented, one of which is the solved position.
In total we have 30 ELL cases.
The ELLs wil be denoted by the cycles, beginning with the UF sticker. When there are 2 cycles, there will be started with UL. If that is not possible, they will start with UB. When an edge is correctly permuted, but incorrectly oriented, it will be denoted by the notation of that edge, between parenthesis.
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
To be continued.
See Also
External Links
- Erik Akkersdijk's ELL algs
- Speedsolving.com: New ELL Algorithms!
- Speedsolving.com: Why Not Teach CLL/ELL?
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