Orientation of the last layer (OLL)
Standard
Since the 1990s
Proven complete
Make the top face one colour in one algorithm: 57 cases.
Dot Case
OLL 1
y (R U' R2' D') (r U' r' D) (R2 U R')
11 HTM · one-handed sheet · 0.93% · 6 algs
OLL 2
y (r U r') U2' R U2' R' U2' (r U' r')
11 HTM · one-handed sheet · 1.9% · 5 algs
OLL 3
(U2) y r' (R2 U R' U) (r U2' r' U) r R'
11 HTM · one-handed sheet · 1.9% · 5 algs
OLL 4
(U2) y r' R U' (r U2' r' U') (R U' R2' r)
11 HTM · one-handed sheet · 1.9% · 5 algs
OLL 17
y (F R' F' R) U2' R U' y (R U' R' F')
11 HTM · one-handed sheet · 1.9% · 6 algs
OLL 18
(r U R' U R U2' r') (r' U' R U' R' U2' r)
14 HTM · one-handed sheet · 1.9% · 5 algs
OLL 19
r' R U (R U R' U') r x (R2 U R U')
12 HTM · one-handed sheet · 1.9% · 6 algs
OLL 20
r' R U (R U R' U') r2 R2 (U R U' r')
13 HTM · one-handed sheet · 0.46% · 5 algs
Square Shapes
Lightning Shapes
OLL 7
(r U R' U R U2' r')
7 HTM · one-handed sheet · 1.9% · 5 algs
OLL 8
(r' U' R U' R' U2' r)
7 HTM · one-handed sheet · 1.9% · 5 algs
OLL 11
r' (R2 U R' U R U2' R') U r R'
11 HTM · one-handed sheet · 1.9% · 5 algs
OLL 12
(U') r (R2 U' R U' R' U2' R) U' r' R
11 HTM · one-handed sheet · 1.9% · 5 algs
OLL 39
(U2) y2 (R U R') (F' U' F) (U R U2' R')
10 HTM · one-handed sheet · 1.9% · 6 algs
OLL 40
(U2) (R' F) (R U R' U') F' U R
9 HTM · one-handed sheet · 1.9% · 5 algs
Fish Shapes
OLL 9
(U2) (R U R' U') R' F (R2 U R' U') F'
11 HTM · one-handed sheet · 1.9% · 6 algs
OLL 10
y r R2 U2' (R U R' U) (R U r' R)
11 HTM · one-handed sheet · 1.9% · 6 algs
OLL 35
(R U2') (R2' F R F') (R U2' R')
9 HTM · one-handed sheet · 1.9% · 5 algs
OLL 37
F R U' R' U' R U R' F'
9 HTM · one-handed sheet · 1.9% · 4 algs
Knight Move Shapes
OLL 13
(r U' r') (U' r U r') z x (U' R U)
10 HTM · one-handed sheet · 1.9% · 6 algs
OLL 14
y2 (r' U r) (U r' U' r) y R U' R'
10 HTM · one-handed sheet · 1.9% · 5 algs
OLL 15
r' U' r R' U' R U r' U r
10 HTM · one-handed sheet · 1.9% · 4 algs
OLL 16
r U r' R U R' U' r U' r'
10 HTM · one-handed sheet · 1.9% · 4 algs
OCLL
OLL 21
(R U2' R') (U' R U R') (U' R U' R')
11 HTM · one-handed sheet · 0.93% · 6 algs
OLL 22
R U2' R2 U' R2 U' R2 U2' R
9 HTM · one-handed sheet · 1.9% · 5 algs
OLL 23
(R U R' U R U2') (R2' U' R U' R' U2' R)
13 HTM · one-handed sheet · 1.9% · 7 algs
OLL 24
y' (R U' R' U2') (R U R' U2') (R U R' U R U' R')
15 HTM · one-handed sheet · 1.9% · 6 algs
OLL 25
(U) y2 F (R U' R' U') (R U2' R' U') F'
10 HTM · one-handed sheet · 1.9% · 7 algs
OLL 26
(U2) R U2' R' U' R U' R'
7 HTM · one-handed sheet · 1.9% · 6 algs
OLL 27
R U R' U R U2' R'
7 HTM · one-handed sheet · 1.9% · 6 algs
All Corners Oriented
Awkward Shapes
OLL 29
y R U R' U' R U' R' F' U' F R U R'
13 HTM · one-handed sheet · 1.9% · 4 algs
OLL 30
(U) y' F U (R U2' R' U') (R U2' R' U') F'
11 HTM · one-handed sheet · 1.9% · 6 algs
OLL 41
(R U R' U R U2' R') F (R U R' U') F'
13 HTM · one-handed sheet · 1.9% · 5 algs
OLL 42
(R' U' R U' R' U2' R) F (R U R' U') F'
13 HTM · one-handed sheet · 1.9% · 6 algs
P Shapes
T Shapes
C Shapes
W Shapes
L Shapes
OLL 47
y' R' z x (U' R' U R) (U' R' U R) F
10 HTM · one-handed sheet · 1.9% · 7 algs
OLL 48
F R U R' U' R U R' U' F'
10 HTM · one-handed sheet · 1.9% · 4 algs
OLL 49
r U' r2' U r2 U r2' U' r
9 HTM · one-handed sheet · 1.9% · 5 algs
OLL 50
r' U r2 U' r2' U' r2 U r'
9 HTM · one-handed sheet · 1.9% · 6 algs
OLL 53
(r' U' R U') (R' U R U') R' U2' r
11 HTM · one-handed sheet · 1.9% · 6 algs
OLL 54
(r U R' U) (R U' R' U) R U2' r'
11 HTM · one-handed sheet · 1.9% · 6 algs
Line Shapes
OLL 51
f R U R' U' R U R' U' f'
10 HTM · one-handed sheet · 1.9% · 4 algs
OLL 52
(U) R U R' U R U' y R U' R' F'
10 HTM · one-handed sheet · 1.9% · 4 algs
OLL 55
(U) (r U2' R' U') R2 (r' U R' U') (r U' r')
12 HTM · one-handed sheet · 0.93% · 6 algs
OLL 56
r' U' r U' R' U R U' R' U R r' U r
14 HTM · one-handed sheet · 0.93% · 4 algs
Source: SpeedCubeDB, https://speedcubedb.com/a/3x3/OLL, retrieved 2026-10-28: case names, groups, setups and images, and the top-voted algorithms per case with their votes. One-handed algorithms: CubeSkills (Feliks Zemdegs and Andy Klise), https://www.cubeskills.com/uploads/pdf/tutorials/onehanded-oll-algorithms.pdf, retrieved 2026-10-28, each matched to the case the engine says it solves, the sheet's suggested algorithm first. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.