CLL 2×2×2 Algorithms

Home › Cubes › 2×2×2 › Stages › CLL
CLL

Corners of the Last Layer

42 cases

Loading...

This stage solves the top layer and the entire cube after the bottom layer is completed.

1. Two Corners Permutation Only 2 cases

PLL-cases 2 cases

Permutation of Two Oriented Corners

PLL1 Permutation of Two Adjacent Corners

CLL PLL1

F2 R2 F' R' F R2 F' U F' U'
F2 L2 F L F' L2 F U' F U
R U' R B2 R' B R B2 R2 U
L' U L' B2 L B' L' B2 L2 U'
F2 R2 F U F' R2 F U' F U
F2 L2 F' U' F L2 F' U F' U'
R U' R F2 R' U R F2 R2 U
L' U L' F2 L U' L' F2 L2 U'
R' F R' F2 R U' R' F2 R2 U'
L F' L F2 L' U L F2 L2 U
B2 R2 B U B' R2 B R' B U
B2 L2 B' U' B L2 B' L B' U'
R2 F R F' R2 F D' F D F2
L2 F' L' F L2 F' D F' D' F2
F2 D' F' D F' R2 F R' F' R2
F2 D F D' F L2 F' L F L2
R U' R U R2 F2 R F R' F2
F2 R F' R' F2 R2 U' R' U R'
L' U L' U' L2 F2 L' F' L F2
F2 L' F L F2 L2 U L U' L
R U' R' F2 R2 U' R' F R' F2
F2 R F' R U R2 F2 R U R'
L' U L F2 L2 U L F' L F2
F2 L' F L' U' L2 F2 L' U' L
R' F R F2 R2 D R D' R F2
F2 R' D R' D' R2 F2 R' F' R
L F' L' F2 L2 D' L' D L' F2
F2 L D' L D L2 F2 L F L'
R' F R' D' R2 F2 R' D' R F2
F2 R' D R F2 R2 D R F' R
L F' L D L2 F2 L D L' F2
F2 L D' L' F2 L2 D' L' F L'
R2 F' D' F R2 F' D F' D' F2
F2 D F D' F R2 F' D F R2
L2 F D F' L2 F D' F D F2
F2 D' F' D F' L2 F D' F' L2
R U' R' B2 R2 U' R' U R' B2
B2 R U' R U R2 B2 R U R'
L' U L B2 L2 U L U' L B2
B2 L' U L' U' L2 B2 L' U' L
R U' R U R2 B2 R U R' B2
B2 R U' R' B2 R2 U' R' U R'
L' U L' U' L2 B2 L' U' L B2
B2 L' U L B2 L2 U L U' L
R2 F R F' R2 B R' F R F' B'
L2 F' L' F L2 B' L F' L' F B
F B R' F' R B' R2 F R' F' R2
F' B' L F L' B L2 F' L F L2
F R F R' F U2 F' R F U2 F
F' U2 F' R' F U2 F' R F' R' F'
F' L' F' L F' U2 F L' F' U2 F'
F U2 F L F' U2 F L' F L F
F R' F' R F' D2 F R' F' D2 F
F' D2 F R F' D2 F R' F R F'
F' L F L' F D2 F' L F D2 F'
F D2 F' L' F D2 F' L F' L' F
B R U' R U R2 B2 R U R' B
B' R U' R' B2 R2 U' R' U R' B'
B' L' U L' U' L2 B2 L' U' L B'
B L' U L B2 L2 U L U' L B
B' R U' R U R2 B2 R U R' B'
B R U' R' B2 R2 U' R' U R' B
B L' U L' U' L2 B2 L' U' L B
B' L' U L B2 L2 U L U' L B'
F U2 F' U' F U2 B' U F' U' B
F' U2 F U F' U2 B U' F U B'
B U' F' U B' U2 F U' F' U2 F
B' U F U' B U2 F' U F U2 F'
R U R2 F' R U R U' R' F R U' R' U
L' U' L2 F L' U' L' U L F' L' U L U'
F' U' F R F' U' F U F R' F2 U F U
F U F' L' F U F' U' F' L F2 U' F' U'
R' F R F D' F2 R F R F' R' F D F'
L F' L' F' D F2 L' F' L' F L F' D' F
F D' F' R F R' F' R' F2 D F' R' F' R
F' D F L' F' L F L F2 D' F L F L'
R' F' U F U' F' U' F2 R F' U' F' U F
F' U' F U F R' F2 U F U F' U' F R
F U F' U' F' L F2 U' F' U' F U F' L'
L F U' F' U F U F2 L' F U F U' F'
Order
2
Symmetries
4→ M Reverse Reverse+ M
Derivatives
T2→ FU UF Reverse+ FU Reverse+ UF
PLL2Permutation of Two Diagonal Corners

CLL PLL2

R2 U F' R' U' F2 U' F R U' F
F2 U' R F U R2 U R' F' U R'
Order
2
Symmetries
8→ RF LF y2 Reverse Reverse+ any of the listed symmetries

2. Orientation of Two Corners with or without Permutation 18 cases

U-cases 6 cases

Orientation of Two Adjacent Corners

U1 No Permutation

CLL U1

R2 F2 U' R' U F' R U' R U
L2 F2 U L U' F L' U L' U'
Order
3
Symmetries
4→ M Reverse+ FU Reverse+ UF
Derivatives
T1→ FU UF Reverse Reverse+ M
U2 Permutation of Adjacent Corners

CLL U2

F' U F2 R F' R U R' U2 R' U'
F U' F2 L' F L' U' L U2 L U
Order
2
Symmetries
8→ M FU UF Reverse Reverse+ any of the listed symmetries
U3 Permutation of Adjacent Corners

CLL U3

R2 U R' U' R2 U' F' U2 F U'
R2 D R' D2 L D' L' D2 R' U'
Order
6
Derivatives
U5→ M
L3→ Reverse+ S
L4→ Reverse+ y
U4 Permutation of Adjacent Corners

CLL U4

R U' F D' F' D B' D' B U2
L' U F' D F D' B D B' U2
Order
6
Symmetries
2→ M
Derivatives
T4→ Reverse
U5 Permutation of Adjacent Corners

CLL U5

R2 U' R B2 R' B R B2 R U
L2 U' L U L2 U F U2 F' U
Order
6
Derivatives
U3→ M
L3→ Reverse+ y2
L4→ Reverse+ LF
U6 Diagonal Permutation

CLL U6

R' U' F' U F R U'
R' U' B' R B R U'
Order
6
Symmetries
2→ Reverse+ RF

T-cases 6 cases

Orientation of Two Adjacent Corners

T1 No Permutation

CLL T1

F U' F R' U F' U' R2 F2 U
F' U F' L U' F U L2 F2 U'
Order
3
Symmetries
2→ M Reverse+ FU Reverse+ UF
Derivatives
U1→ FU UF Reverse
T2 Permutation of Adjacent Corners

CLL T2

R2 U' R' U R2 U' B U' B' U2
L2 U L U' L2 U B' U B U2
Order
2
Symmetries
4→ M Reverse Reverse+ M
Derivatives
PLL1→ FU UF Reverse+ FU Reverse+ UF
T3 Permutation of Adjacent Corners

CLL T3

L U L' U' F' L' F
L U L' U' B' U' B
Order
6
Derivatives
T5→ M
L2→ Reverse+ y
L5→ Reverse+ M
T4 Permutation of Adjacent Corners

CLL T4

F D' F' D B' D' B U' R U2
F' D F D' B D B' U L' U2
Order
6
Symmetries
2→ M
Derivatives
U4→ Reverse
T5 Permutation of Adjacent Corners

CLL T5

R' U' R U F R F'
R' U' R U B U B'
Order
6
Derivatives
T3→ M
L2→ Reverse+ RF
L5→ Reverse
T6 Diagonal Permutation

CLL T6

R' U R B2 U' R' U2 R U' B U
L U' L' B2 U L U2 L' U B' U
Order
6
Symmetries
2→ Reverse+ LF

L-cases 6 cases

Orientation of Two Diagonal Corners

L1 No Permutation

CLL L1

B2 U' B U B' U' B U2 B' U B' U
L2 U L' U' L U L' U2 L U' L U'
Order
3
Symmetries
4→ RF Reverse+ LF Reverse+ y2
L2 Permutation of Adjacent Corners

CLL L2

R' F R U F U' F'
R' F R D R D' F'
Order
6
Derivatives
L5→ RF
T3→ Reverse+ y
T5→ Reverse+ RF
L3 Permutation of Adjacent Corners

CLL L3

R U2 R' U' F2 U' F' U F2 U'
B' L2 B' L' B L2 B' U B2 U'
Order
6
Derivatives
L4→ RF
U3→ Reverse+ S
U5→ Reverse+ y2
L4 Permutation of Adjacent Corners

CLL L4

F' U2 F U R2 U R U' R2 U
R D2 L D L' D2 R D' R2 U
Order
6
Derivatives
L3→ RF
U3→ Reverse+ y'
U5→ Reverse+ LF
L5 Permutation of Adjacent Corners

CLL L5

F R' F' U' R' U R
F R' F' D' F' D R
Order
6
Derivatives
L2→ RF
T3→ Reverse+ M
T5→ Reverse
L6 Diagonal Permutation

CLL L6

R U2 R2 F R F' R U2 R' U'
R' U2 R B' R B R2 U2 R U'
Order
6
Symmetries
4→ RF Reverse+ LF Reverse+ y2

3. Orientation of Three Corners with or without Permutation 12 cases

S-cases 6 cases

Clockwise Orientation of Three Corners

S1 No Permutation

CLL S1

F U F' U F U2 F' U2
L' U2 L U L' U L U2
Order
3
Symmetries
2→ Reverse+ RF
Derivatives
AS1→ RF Reverse
S2 Permutation of Adjacent Corners

CLL S2

R U' R' F U2 F U2 F' U
R U' R' B R2 B R2 B' U
Order
6
Derivatives
S5→ Reverse+ RF
AS2→ Reverse
AS5→ RF
S3 Permutation of Adjacent Corners

CLL S3

R' F' R U' F' U F' U' F U' F
B U' B U' B' U B' U' R B' R'
Order
6
Symmetries
2→ Reverse+ S
Derivatives
AS4→ RF Reverse+ y
S4 Permutation of Adjacent Corners

CLL S4

F U' F' L F' L' F U2
F U' B' U F' U' B U2
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
AS3→ RF Reverse+ y'
S5 Permutation of Adjacent Corners

CLL S5

F' R2 F R2 F R' U' R U
B' U2 B U2 B R' U' R U
Order
6
Derivatives
S2→ Reverse+ RF
AS2→ RF
AS5→ Reverse
S6 Diagonal Permutation

CLL S6

R2 U' R' U2 R B' R2 B R' U
L' B L2 B' L U2 L' U' L2 U
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
AS6→ RF Reverse+ y2

AS-cases 6 cases

Counterclockwise Orientation of Three Corners

AS1 No Permutation

CLL AS1

R' U' R U' R' U2 R U2
B U2 B' U' B U' B' U2
Order
3
Symmetries
2→ Reverse+ RF
Derivatives
S1→ RF Reverse
AS2 Permutation of Adjacent Corners

CLL AS2

R F2 R' F2 R' F U F' U'
L U2 L' U2 L' F U F' U'
Order
6
Derivatives
S2→ Reverse
S5→ RF
AS5→ Reverse+ RF
AS3 Permutation of Adjacent Corners

CLL AS3

R' U R B' R B R' U2
R' U R B' L U L' U2
Order
6
Symmetries
2→ Reverse+ RF
Derivatives
S4→ RF Reverse+ y
AS4 Permutation of Adjacent Corners

CLL AS4

F R F' U R U' R U R' U R'
L' U L' U L U' L U F' L F
Order
6
Symmetries
2→ Reverse+ S
Derivatives
S3→ RF Reverse+ y'
AS5 Permutation of Adjacent Corners

CLL AS5

F' U F R' U2 R' U2 R U'
F' U F L' F2 L' F2 L U'
Order
6
Derivatives
S2→ RF
S5→ Reverse
AS2→ Reverse+ RF
AS6 Diagonal Permutation

CLL AS6

F2 U F U2 F' L F2 L' F U'
B L' B2 L B' U2 B U B2 U'
Order
6
Symmetries
2→ Reverse+ LF
Derivatives
S6→ RF Reverse+ y2

4. Orientation of Four Corners with or without Permutation 10 cases

P-cases 6 cases

Orientation of Four Corners

P1 No Permutation

CLL P1

R' U' F' U F U' F' U F R
R B U B' U' B U B' U' R'
Order
3
Symmetries
4→ M Reverse+ S Reverse+ y2
P2 Permutation of Adjacent Corners

CLL P2

F U' F R F2 U2 R F' U' F U
F' U F' L' F2 U2 L' F U F' U'
Order
6
Symmetries
2→ M
Derivatives
H2→ Reverse Reverse+ M
P3 Permutation of Adjacent Corners

CLL P3

F U' L' U' L U2 F' L F2 L' U'
B' R2 B R' U2 B U' B' U' R U'
Order
6
Symmetries
2→ Reverse+ S
Derivatives
P5→ M Reverse+ y2
P4 Permutation of Adjacent Corners

CLL P4

R U' R U' R' U R' B U2 B' U2
L' U L' U L U' L B' U2 B U2
Order
6
Symmetries
2→ M
Derivatives
H3→ Reverse+ RF Reverse+ y'
P5 Permutation of Adjacent Corners

CLL P5

F' U R U R' U2 F R' F2 R U
B L2 B' L U2 B' U B U L' U
Order
6
Symmetries
2→ Reverse+ S
Derivatives
P3→ M
P6 Diagonal Permutation

CLL P6

F2 U' F2 R U2 R' F2 U F2 U
F2 U F2 L' U2 L F2 U' F2 U
Order
6
Symmetries
2→ Reverse+ LF

H-cases 4 cases

Orientation of all 4 corners and permutation

H1 No Permutation

CLL H1

R2 U2 R U2 R2 U
R2 U2 R' U2 R2 U'
Order
6
Symmetries
8→ M S y2 Reverse+ any: RF LF y y'
H2 Permutation of Adjacent Corners

CLL H2

R U' R' F U2 R2 F R U' R U
L' U L F' U2 L2 F' L' U L' U'
Order
6
Symmetries
2→ M
Derivatives
P2→ Reverse
H3 Permutation of Adjacent Corners

CLL H3

R' F2 U F2 U F2 U' F2 R U2
R B2 U' B2 U' B2 U B2 R' U2
Order
6
Symmetries
2→ S
Derivatives
P4→ Reverse+ RF Reverse+ y
H4 Diagonal Permutation

CLL H4

F2 R F2 R2 U2 R F2 U
F2 R' U2 R2 F2 R' F2 U
Order
6
Symmetries
4→ y2 Reverse+ RF Reverse+ LF