Corners of the last layer (COLL)
Common
Since the 2000s
Proven complete
Orient and permute the corners together, keeping edges oriented: 40 cases.
Anti Sune
AS 1
R' U' R U' R' U2 R
7 HTM · 2.5% · 4 algs
AS 2
(U) U2 R2 D R' U R D' R' U R' U' R U' R'
14 HTM · 2.5% · 4 algs
AS 3
R' U' F' R U R' U' R' F R2 U' R' U R
14 HTM · 2.5% · 4 algs
AS 4
R' U' R U R' F R U R' U' R' F' R2
13 HTM · 2.5% · 4 algs
AS 5
U2 R' F R F' r U R' U' M
11 HTM · 2.5% · 4 algs
AS 6
R U' R' U2 R U' R' U2 R' D' R U R' D R
15 HTM · 2.5% · 4 algs
Sune
S 1
R U R' U R U2 R'
7 HTM · 2.5% · 4 algs
S 2
r' F2 r U2 R U' r' F M'
10 HTM · 2.5% · 4 algs
S 3
M F R' F' r U2 R U2 R'
10 HTM · 2.5% · 4 algs
S 4
(U') R U R' U' R' F R F' r U R' U R U2 r'
15 HTM · 2.5% · 4 algs
S 5
R U' r' F R' F' r
7 HTM · 2.5% · 4 algs
S 6
F' R U2 R' U2 R' F2 R U R U' R' F'
13 HTM · 2.5% · 4 algs
L
L 1
(U') R' U' R U' R' U2 R U' R U R' U R U2 R'
15 HTM · 2.5% · 4 algs
L 2
R' U2 R' D' R U2 R' D R2
9 HTM · 2.5% · 4 algs
L 3
(U) U2 R U2 R2 D' R U' R' D R2 U' R'
12 HTM · 2.5% · 4 algs
L 4
(U2) R U R' U' R' F R U R U' R' F'
12 HTM · 2.5% · 4 algs
L 5
(U2) r U R U' r' F R' F'
8 HTM · 2.5% · 4 algs
L 6
(U') U' R' U' R U R' F' R U R' U' R' F R2
14 HTM · 2.5% · 4 algs
U
U 1
R' U' R U' R' U2 R2 U R' U R U2 R'
13 HTM · 2.5% · 4 algs
U 2
R' F R U' R' U' R U R' F' R U R' U' R' F R F' R
19 HTM · 2.5% · 4 algs
U 3
(U2) R U' R' U' R U2 R' U' R' D' R U2 R' D R
15 HTM · 2.5% · 4 algs
U 4
F R U' R' U R U R' U R U' R' F'
13 HTM · 2.5% · 4 algs
U 5
R2 D' R U2 R' D R U2 R
9 HTM · 2.5% · 4 algs
U 6
R2 D' R U R' D R U R U' R' U' R
13 HTM · 2.5% · 4 algs
T
T 1
R U2 R' U' R U' R2 U2 R U R' U R
13 HTM · 2.5% · 4 algs
T 2
R' U R U2 r' R' F R F' r
10 HTM · 2.5% · 4 algs
T 3
(U) y R' F' r U R U' r' F
8 HTM · 2.5% · 4 algs
T 4
(U2) y2 F R U R' U' R U' R' U' R U R' F'
13 HTM · 2.5% · 4 algs
T 5
(U') R U R D R' U' R D' R2
9 HTM · 2.5% · 4 algs
T 6
R' U R2 D r' U2 r D' R2 U' R
11 HTM · 2.5% · 4 algs
Pi
Pi 1
R U2 R2 U' R2 U' R2 U2 R
9 HTM · 2.5% · 4 algs
Pi 2
R' F2 R U2 R U2 R' F2 U' R U' R'
12 HTM · 2.5% · 4 algs
Pi 3
R' U' F' R U R' U' R' F R2 U2 R' U2 R
14 HTM · 2.5% · 4 algs
Pi 4
R U R' U' R' F R2 U R' U' R U R' U' F'
15 HTM · 2.5% · 4 algs
Pi 5
y' R U2 R' U R' D' R U2 R' D R2 U' R'
13 HTM · 2.5% · 4 algs
Pi 6
R U D' R U R' D R2 U' R' U' R2 U2 R
14 HTM · 2.5% · 4 algs
Source: SpeedCubeDB, https://speedcubedb.com/a/3x3/COLL, retrieved 2026-10-24: case names, groups, setups and images, and the top-voted algorithms per case with their votes. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.