Aqui você encontra os algoritmos para a última camada. (Obrigado especial a Bob Burton e Dan Harris, que me cederam, respectivamente, os diagramas de orientações e permutações.)
3. Orientando a última camada
São 57 casos de orientação (eu disse que era mais difícil). Todos eles estão listados abaixo.
Nenhum meio orientado
Você pode encontrar a última camada apenas com o centro amarelo, com um canto, dois, três ou quatro amarelos. Dependendo de como estão os cantos "errados", o algoritmo a ser usado é diferente.
| # | Diagrama | Algoritmo | Apllet |
| 1 |  |
f (R U R' U') f' U' F (R U R' U') F' | |
| 2 |  |
f (R U R' U') f' U F (R U R' U') F' | |
| 3 |  |
(R U R' U) (R' F R F') U2 (R' F R F') | |
| 4 |  |
(r U2) (R' U' R U') r2' U2' (R U R' U) r | |
| 5 |  |
(r U R' U) (R U2') (r2' U' R U') (R' U2 r) | |
| 6 |  |
r' (R U) (R U R' U' r2) (R2' U) (R U') r' | |
| 7 |  |
F (R U R' U') F' f (R U R' U') f' | |
| 8 |  |
(R U) B' (l U (l' R') U') (R' F R F') |
| 9 |  |
r (U R' U' R) r' (U R U' R') | |
| 10 |  |
(R U R' U' r) (R' U R U') r' | |
| 11 |  |
(R U R' U') (R' F R F') | |
| 12 |  |
F (R U R' U') F' | |
| 13 |  |
F U R U' R' F' | |
| 14 |  |
F' U' L' U L F (o inverso do nº 13) | |
| 15 |  |
(R d) (L' d') (R' U) (l U l') | |
| 16 |  |
(L' d') (R d) (L U') (r' U' r) | |
| 17 |  |
(R U R' U) (R U' R' U') (R' F R F') | |
| 18 |  |
(L' U' L U') (L' U L U) (L F' L' F) | |
| 19 |  |
(r U) (R' U) (R U') (R' U) (R U2' r') | |
| 20 |  |
(r' U2) (R U R' U') (R U R' U) r | |
| 21 |  |
(R B' R B R2') U2 (F R' F' R) | |
| 22 |  |
(R' F R' F' R2) U2 y (R' F R F') | |
| 23 |  |
F (R U R' U') (R U R' U') F' | |
| 24 |  |
F' (L' U' L U) (L' U' L U) F | |
| 25 |  |
(R B') (R' U' R U) y (R U') F' | |
| 26 |  |
(L' B) (L U L' U') y' (L' U) F | |
| 27 |  |
(R U R2' U') (R' F) (R U) (R U') F' | |
| 28 |  |
F R U' B U B' R' F' | |
| 29 |  |
(r' U2) (R U R' U r) | |
| 30 |  |
(r U2') (R' U' R U' r') | |
| 31 |  |
(r U R' U) (R U2' r') | |
| 32 |  |
F (R U R' U') F' y F (R U R' U') F' | |
| 33 |  |
(r' U' R U') (R' U2 r) | |
| 34 |  |
F' (L' U' L U) F y' F' (L' U' L U) F | |
| 35 |  |
(F R' F' R) (U R U' R') | |
| 36 |  |
(L U2') (L2' B) (L B' L U2' L') | |
| 37 |  |
(R U R2') y' (R' U' R) y (R2 U') (R2' U2 R) | |
| 38 |  |
(R' U' R) y'x' (R U') (R' F) (R U R') x | |
| 39 |  |
F U (R U' R' U) (R U' R') F' | |
| 40 |  |
(R U R' U R d') (R U' R' F') | |
| 41 |  |
(r' U' r) U' (R' U R U') (R' U R) (r' U r) | |
| 42 |  |
(R' U2) (R2' U) (R' U) (R U2') x' (U' R' U) x | |
| 43 |  |
x' (R U' R' F') (R U R') xy (R' U R) | |
| 44 |  |
(r U r') (R U R' U') (r U' r') | |
| 45 |  |
x' (L' U L F) (L' U' L) xy' (L U' L') | |
| 46 |  |
(l' U' l) (L' U' L U) (l' U l) | |
| 47 |  |
(R U') (R' U2) (R U) y (R U') (R' U' F') | |
| 48 |  |
(R2' U R' B') (R U') (R2' U) (l U l') | |
| 49 |  |
(L' U) (L U2') (L' U') y' (L' U) (L U F) | |
| 50 |  |
(L2 U' L B) (L' U) (L2 U') (r' U' r) |
4 meios orientados
| # | Diagrama | Algoritmo | Apllet |
| 51 |  |
(R2' D) (R' U2) (R D') (R' U2 R') | |
| 52 |  |
R' F' L F R F' L' F | |
| 53 |  |
(R' F) (R B') (R' F') (R B) | |
| 54 |  |
(R U R' U) (R U2' R') | |
| 55 |  |
(R' U' R U') (R' U2 R) | |
| 56 |  |
(R U2') (R2' U') (R2 U') (R2' U2' R) | |
| 57 |  |
(R U R' U) (R U' R' U) (R U2' R') |
4. Posicionando a última camada
São 21 casos agora. Alguns mexem apenas nos cantos, outros apenas nos meios e outros nos dois.
| # | Diagrama | Algoritmo | Apllet |
| 1 |  |
(R' U R' U') (R' U') (R' U R U R2) | |
| 2 |  |
(R2 U' R' U') (R U R U) (R U' R) | |
| 3 |  |
x' (L' U L') D2 (L U' L') D2 L2 x | |
| 4 |  |
x' (R U' R) D2 (R' U R) D2 R2 x | |
| 5 |  |
L' R' U2 L R F B U2 F' B' | |
| 6 |  |
x' (R U' R' U) (D R') (D U' R' U) R D2 F x | |
| 7 |  |
(R' U)(R U' R2)(F' U' F U) x (R U R' U' x' R2 U') | |
| 8 |  |
(R U R' U') (R' F) (R2 U') (R' U' R U) (R' F') | |
| 9 |  |
(L U2') (L' U2) (L F') (L' U' L U) (L F L2 U) | |
| 10 |  |
(R' U2)(R U2')(R' F)(R U R' U')(R' F' R2 U') | |
| 11 |  |
(F2' R U l' U2) (r U') (L U L2) x2 | |
| 12 |  |
(F2' L' U' r U2')(l' U)(R' U' R2) x2 | |
| 13 |  |
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| 14 |  |
(U' R' U L') (U2 R U' L) (R' U L') (U2 R U' L) | |
| 15 |  |
(R U' R U) (F D' F D) F2 (R F R' F' R') | |
| 16 |  |
F (R U')(R' U' R U R' F')(R U R' U')(R' F R F') | |
| 17 |  |
(L U' R) D2 (R' U L') (R U' L) D2 (L' U R') | |
| 18 |  |
(R2' u)(R' U R' U' R u' R2) y' (R' U R) | |
| 19 |  |
(R2 u')(R U' R U R' u R2) y (R U' R') | |
| 20 |  |
(R U R') y' (R2 u' R U')(R' U R')(u R2) | |
| 21 |  |
(R' U' R) y (R2' u R' U)(R U' R)(u' R2) |