cubing
Cubing algorithms to revise
OLL
Last layer is not fully facing up.
Pi
The front looks like the H, but the back are facing outwards.
R U2 (R2 U' R2 U' R2) U2 R
PLL
Adjacent corner swap
R U R' U' R' F R2 U' R' U' R U R' F'
Diagonal corner swap
(F R U' R' U' R U R' F') (R U R' U' R' F R F')
Edge Cycle #1
Last layer is orientated correctly, but there are 3 edge pieces that need permutating anticlockwise.
R U' R U R U R U' R' U' R2
Edge Cycle #2
Last layer is orientated correctly, but there are 3 edge pieces that need permutating clockwise.
R2 U R U R' U' R' U' R' U R'
Opposite edge swap
M2 U' M2 U2 M2 U' M2
Adjacent edge swap
M' U' M2 U' M2 U' M' U2 M2
Corner on top, FL color facing side, edge colors match  
Case #  Case Image  Algorithm  Algorithm  Case Image  Case #  

1 
U (R U' R') R' F R F' 
y' U' (R' U R) F R' F' R 
2  
3 
U' R U R' U2 (R U' R') 
d R' U' R U2' (R' U R) y' (U R' U' R) U2 (R' U R) 
4  
5 
U' R U2' R' U2 (R U' R') 
d R' U2 R U2' (R' U R) R' F R F' 
6  
7 
y' R' U R U' d' (R U R') y L' U L U2 y (R U R') 
R U' R' U d (R' U' R) R U' R' U2 y' (R' U' R) (R U' R') U2 (F' U' F) 
8  
Corner on top, FL color facing side, edge colors opposite  
9 
y' (R' U' R) 
(R U R') 
10  
11 
d R' U' R U'(R' U' R) U' R U' R' d R' U' R U' R U' R' U y' R' U' R 
U' R U R' U (R U R') 
12  
13 
U' R U2' R' d (R' U' R) 
R' U2 R2 U R2' U R *Last R' U R can be avoided if back slot is empty. R U' R' U R U' R' U2 (R U' R') d R' U2 R d' (R U R') 
14  
15 
d R' U R U' (R' U' R) 
U' R U' R' U(R U R') 
16  
Corner on top, FL color facing up  
17 
R U2' R' U' (R U R') 
y' R' U2 R U (R' U' R) y (L' U2 L) U (L' U' L) 
18  
19 
U R U2 R' U (R U' R') U R U2 R2 F R F' 
y' U' R' U2 R U' (R' U R) 
20  
21 
U2 R U R' U (R U' R') (R U' R') U2' (R U R') 
y' U2 R' U' R U' (R' U R) y' R' U R U2 (R' U' R) 
22  
23 
y' U R' U2 R y R U2 R' U R U' R' U2 R2 U2 R' U' R U' R2 R U R' U2' R U R' U'(R U R') 
U' R U2' R' y' R' U2 R U' R' U R R U R' d R' U R U' (R' U R) y' U2 R2 U2 R U R' U R2 
24  
Corner down, edge on top  
25 
U R U' R' d' (L' U L) U R U' R' U' y (L' U L) 
y' U' R' U R r' U' R U M' d' L' U L d (R U' R') y U' (L' U L) y' U (R U' R') 
26  
27 
y' R' U' R U (R' U' R) 
R U R' U' (R U R') 
28  
29 
R U' R' U (R U' R') 
y' R' U R U' (R' U R) R U R' d (R' U2 R) 
30  
Edge down, corner on top  
31 
U' R U' R' U2 (R U' R') d' L' U' R' U L U' R 
d R' U R U2 (R' U R) U' (R U2' R') U (R U R') U R U R' U2 (R U R') 
32  
33 
U' R U R' d (R' U' R) 
d R' U' R d' (R U R') y U2 (L' U L) U y (L U L') 
34  
35 
R U' R' d (R' U R) 
[R U R' U'][R U R' U'](R U R') U [R U' R' U] [R U' R' U] (R U' R') 
36  
Corner down, edge down  
37 
R U' R' U' R U R' U2 (R U' R') y' R' U' R U2 R' U R U' (R' U' R) 
R U R' U2 R U' R' U(R U R') R U' R' U R U2' R' U (R U' R') 
38  
39 
R U' R' d R' U' R U' (R' U' R) 
R U R' U' R U' R' U2 y' (R' U' R) R U' R' U d R' U' R U' (R' U R) 
40  
41 
R U' R' U y' R' U2 R U2' (R' U R) R U' R' d R' U2 R U2' (R' U R) [R' F R F'] [R U' R' U] [R U' R' U2] (R U' R') 
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

27 
L U L' U [L U2 L'] (y2) R U R' U [R U2' R'] Name: Sune. The most recognized OLL algorithm. 
R' U' R U' R' U2 R (y) R U2 R' U' R U' R' Name: AntiSune. Mirror of the Sune algorithm. Distinguished from the Sune by the side the nonoriented corners are facing. Easy to recognize after placing the oriented corner at the back. 
26  
21 
R U2 R' U' R U R' U' R U' R' (y) R U R' U [R U' R' U] [R U2 R'] F [R U R' U'] [R U R' U'] [R U R' U'] F' 
R U2' [R2 U'] [R2 U'] R2 U2' R Algorithm can be easily recognized by the 1 pair of headlights, to be faced to the left. Tip: the right hand leaves the cube completely after R2 and regrip toward the next R2 turn. 
22  
23 
R2 D [R' U2 R] D' [R' U2 R'] Name: Superman. 
l' U' L U R U' [r' F] 
24  
25 
[R' F R B'] [R' F' R B] 
No Edges Correctly Oriented
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

1 
R U2 [R2' F R F'] U2' [R' F R F'] Recognized by 2 bars (3 stickers in a row), to be faced to the sides. 
[F R U R' U' F'] [f R U R' U' f'] Recognized by a single bar, to be faced to the left. This algorithm is a combination of T orientation + P orientation. 
2  
3 
(f R U R' U' f') U' (F R U R' U' F') Made of P orientation + U' + T orientation. Recognition: when is in the correct angle, the 2 stickers in the L face are lined up with the center piece and the corner piece. 
(f R U R' U' f') U (F R U R' U' F') Made of P orientation + U + T orientation. Recognition: when is in the correct angle, the 2 stickers in the L face are lined up with the center piece and the corner piece. 
4  
17 
[R U R' U] [R' F R F'] U2 [R' F R F'] The correct angle is when the 2 sticker blocks on the sides are on the B & L faces, and form together with the corners an arrow shape facing toward the L & B faces. 
M U R U R' U' M2 [U R U' r'] 
20  
18 
[F R U R' U] y' R' U2 [R' F R F'] Recognized by the stickers bar, to be faced at the back of the cube (B face). 
[r' R] U [R U R' U'] r [R2' F R F'] M U [R U R' U'] M' [R' F R F'] (same; M instead r' R) Recognized by the lack of stickers bar (unlike case #18) 
19 
C shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

46 
R' U' [R' F R F'] U R Recognized by the stickers bar, to be faced to the right. 
R U R2 U' R' F R U R U' F' Recognized by the lack of a stickers bar. I do the last F' using my right hand ring finger. 
34 
I shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

55 
R U2 R2 U' R U' R' U2 F R F' (y) R' F R U R U' R2 F' [R2 U' R' U] R U R' Recognized by the 2 sets of sticker bars, to be faced to the sides. 
R U R' U R d' R U' R' F' R' U' R U' R' d R' U R B Recognized by having a single bar. To be faced to the right. 
52  
51 
f [R U R' U'] [R U R' U'] f' Recognition: No bars, having 2 blocks of stickers & headlights. Headlights to be faced to the left. (Similar in shape and positioning to case # 2) 
[F R U R' U' R] F' [r U R' U'] r' (y) [f R U R' U' f'] [F (R U R' U') (R U R' U') F'] No bars or blocks. Recognized by 2 pairs of headlights, to be faced to the sides. 
56 
L shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

48 
F [R U R' U'] [R U R' U'] F' Recognition: No bar, headlights. headlights facing to the left when L shape is correctly positioned. 
R' U' [R' F R F'] [R' F R F'] U R [F' L' U' L U] [L' U' L U] F Mirror of #48. Headlights facing to the right when L shape is correctly positioned. 
47  
54 
[r U R' U] [R U' R' U] [R U2' r'] Recognized by having bar & headlights. headlights facing to the right. 
[l' U' L U'] [L' U L U'] [L' U2 l] (y2) r' U' R U' R' U R U' [R' U2 r] Mirror of case #54. Headlights facing to the left. 
53  
49 
[R' F R' F'] R2 U2' y [R' F R F'] Recognized by having bar & a block (also no headlights). Bar is facing to the left. 
R' F R2 B' R2' F' R2 B R' (y2) R B' R B R2' U2 [F R' F' R] Mirror of case #49. Headlights facing to the right (on main algorithm). 
50 
P shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

44 
f [R U R' U'] f' Recognized by having a bar. The bar is facing left (when P is upsidedown as it should). 
f ' (L' U' L U) f (y2) R' U' F R' F' R U R Mirror of #44. The bar is facing right (when P is upsidedown). 
43  
32 
R U B' U' R' U R B R' R d L' d' R' U R B R' Recognized by not having a bar. P shape is upsidedown on the right. 
[R' U'] F [U R U' R'] F' R Mirror of #31. 
31 
T shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

45 
F [R U R' U'] F' Recognized my the lack of sticker blocks. Very fast algorithm. 
[R U R' U'] [R' F R F'] Recognized by having 2 parallel sticker blocks. 
33 
W shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

38 
[R U R' U] [R U' R' U'] [R' F R F'] Recognition: when the W shape is correctly positioned the sticker block will be at the side, and not on the front. 
[L' U' L U'] [L' U L U] [L F' L' F] (y2) [R' U' R U'] R' U R U R y [R' F' R] Recognition: when the W shape is correctly positioned the sticker block will be at the side, and not on the front. 
36 
Awkward shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

30 
R2 U R' B' R U' R2 U R B R' Recognized by having a stickers block. The last B turn is done by the right hand index finger. 
M U [R U R' U'] [R' F R F'] M' (y) [R U R' U'] R U' R' F' U' [F R U R'] L2 U' L B L' U L2 U' [r' U' r] Mirror of case #30. Recognized by having a stickers block. 
29  
41 
[R U' R' U2] R U y R U' R' U' F' (y2) [R U R' U] [R U2 R'] [F R U R' U' F'] Recognized by having headlights. 
R' U2 [R U R' U] R y [F R U R' U' F'] (y') [L' U L U2] L' U' y' L' U L U F [R' F R F'] [R' F R F'] [R U R' U'] [R U R'] Mirror of case #41. Recognized by having headlights. 
42 
Fish shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

37 
F R U' R' U' R U R' F' Recognition: 2 sticker blocks. Very fast and flowing algorithm. 
R U2' [R2 F R F'] [R U2 R'] Recognition: No sticker blocks (unlike #37) 
35  
10 
[R U R' U] [R' F R F'] [R U2 R'] [R U R'] y R' F R U' R' F' R Recognition: when positioned correctly stickers block is on the back face. 
[R U R' U' R' F] R2 U R' U' F' [R' U' R] y' x' R U' R' F R U R' Mirror of #10. When positioned correctly stickers block is on the front face. 
9 
Knight Move shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

13 
r U' r' U' r U r' y' [R' U R] Recognition: 2 sticker blocks. 
R' F R U R' F' R y' [R U' R'] Mirror of #13. Recognition: 2 sticker blocks. 
14  
16 
[r U r'] [R U R' U'] [r U' r'] Recognition: 1 stickers block. 
[l' U' l] [L' U' L U] [l' U l] Mirror of #16. Recognition: 1 stickers block. 
15 
Big Lightning Bolts shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

40 
[R' F R U R' U' F'] U R 
[L F' L' U' L U F] U' L' Mirror of #40. 
39 
Small Lightning Bolts shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

8 
R U2' R' U2 R' F R F' (y2) r' U' R U' R' U2 r Recognition: The stickers block is lined up with the head of the lightning bolt (the edge+center). 
[r U R' U] [R U2' r'] Mirror of #8. 
7  
12 
[F R U R' U' F'] U [F R U R' U' F'] (y) M U2 [R' U' R U' R' U2 R] U M' Recognition: The stickers block is not lined up with the head of the lightning bolt (the edge+center). 
[F' L' U' L U F] y [F R U R' U' F'] y [r U R' U] [R' F R F'] [R U2 r'] (y') r' R2 U R' U [R U2 R' U] M' Mirror of #12. 
11 
Square shapes
Alg. No.  Image  Algorithm  Algorithm  Image  Alg. No.  

6 
r U2' R' U' R U' r' 
l' U2 L U L' U l (y2) r' U2 R U R' U r Mirror of #6. 
5 
Edge Permutations Only
Algorithm Name 
Image  Algorithm 

Ua perm 
[R U' R] U R U R U' R' U' R2 (y2) R2 U' R' U' R U R U R U' R 

Ub perm 
R2 U R U R' U' R' U' R' U R' (y2) R' U R' U' R' U' R' U R U R2 

Z perm 
M' U M2 U M2 U M' U2 M2 [U R' U'] R U' R U R U' R' U R U [R2 U' R' U] M2 U M2 U M' U2 M2 U2 M' U2 

H perm 
M2 U M2 U2 M2 U M2 
Corner Permutations Only
Algorithm Name 
Image  Algorithm 

Aa perm 
l' U R' D2 R U' R' D2 R2 

Ab perm 
l U' R D2 R' U R D2 R2 

E perm 
x' [R U' R' D] [R U R' D'] [R U R' D] [R U' R' D'] (y) x' [R U' R' D] [R U R' D'] [R U R' D] [R U' R' D'] 
Corner & Edge Swap Permutations
Algorithm Name 
Image  Algorithm 

T perm 
[R U R' U'] R' F R2 U' R' U' [R U R' F'] 

F perm 
[R' U R U'] R2 y' [R' U' R U] y x [R U R' U'] [R2 x U'] R' U2 R' d' R' F' R2 U' R' U R' F R U' F 

Ja perm 
[R' U L'] U2 [R U' R' U2] [L R U'] (y) L' U' L F L' U' L U L F' L2 U L U 

Jb perm 
[R U R' F'] [R U R' U' R' F] [R2 U' R' U'] 

Ra perm 
[L U2' L' U2'] L F' L' U' L U L F L2' U (y) [R U R' F'] R U2 R' U2 R' F R U R U2 R' U' 

Rb perm 
[R' U2 R U2] R' F R U R' U' R' F' R2 U' 

V perm 
[R' U R' U'] [x2 y'] [R' U R' U'] [l R U'] [R' U R] U [R' U R' d'] R' F' R2 U' R' U R' F R F 

Y perm 
[F R U' R' U' R U R' F'] [R U R' U'] [R' F R F'] 

Na perm 
{L U' R U2 L' U R'} {L U' R U2 L' U R'} U (y) {L U' R U2 L' U R'} {L U' R U2 L' U R'} U' (y) [R U' R' U] l U F U' R' F' R U' R U l' U R' (z) D R' U R2 D' R D U' R' U R2 D' R U' R 

Nb perm 
{R' U L' U2 R U' L} {R' U L' U2 R U' L} U' (y) {R' U L' U2 R U' L} {R' U L' U2 R U' L} U (z) U' R D' R2' U R' D U' R D' R2' U R' D R' (y) R' U R' F R F' R U' R' F' U F R U R' U' R 
Corner & Edge Cycle Permutations (G perms)
Algorithm Name 
Image  Algorithm 

Ga perm 
[R2 u] R' U R' U' R u' R2 y' [R' U R] 

Gb perm 
[L' U' L] y' {R2 u R' U R U' R u' R2} (y2) [R' U' R] y {R2 u R' U R U' R u' R2} 

Gc perm 
[R2 u'] R U' R U R' u R2 y [R U' R'] 

Gd perm 
[R U R'] y' R2 u' R U' R' U R' u R2 