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 anti-clockwise.
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 non-oriented 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 upside-down 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 upside-down). |
|
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 upside-down 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 |