Corners of the last layer (COLL)
Orient and permute the corners together, keeping edges oriented: 40 cases.
What it is
COLL solves the last-layer corners (orientation and permutation) in one algorithm when the edges are already oriented, leaving only an EPLL (U, H or Z perm). It is the usual step between OCLL/PLL and full ZBLL for ZZ solvers, and a way to avoid the slower PLLs in CFOP.
The cases are the seven OCLL shapes (Sune, Antisune, L, U, T, Pi, H), each split by the corner permutation (6 per shape, 4 for H).
Recognition
Identify the OCLL shape from the top face, then read the corner stickers on the sides: headlights, and which colours sit opposite each other, give the permutation.
Anti Sune
AS 1
y R U2 R' U' R U' R'
7 HTM · 2.5% · 4 algs
AS 2
(U) y2 R2 D R' U R D' R' U R' U' R U' R'
13 HTM · 2.5% · 4 algs
AS 3
y2 R2 D R' U2 R D' R2 U' R U' R'
11 HTM · 2.5% · 4 algs
AS 4
y2 R' U' R U' R2 D' R U2 R' D R2
11 HTM · 2.5% · 4 algs
AS 5
y2 r' F R F' r U R'
7 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
y2 R U R' U R2 D R' U2 R D' R2
11 HTM · 2.5% · 4 algs
S 3
L' R U R' U' L U2 R U2 R'
10 HTM · 2.5% · 4 algs
S 4
(U') y' R U R' U R U' R D R' U' R D' R2
13 HTM · 2.5% · 4 algs
S 5
R U' L' U R' U' L
7 HTM · 2.5% · 4 algs
S 6
y2 R U R' F' R U R' U R U2 R' F R U' R'
15 HTM · 2.5% · 4 algs
L
L 1
(U') y' R U R' U R U' 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) y R U2 R D R' U2 R D' R2
9 HTM · 2.5% · 4 algs
L 4
(U2) y F R' F' r U R U' r'
8 HTM · 2.5% · 4 algs
L 5
(U2) y2 F' r U R' U' r' F R
8 HTM · 2.5% · 4 algs
L 6
(U') y r U2 R2 F R F' R U2 r'
9 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) y2 R2 D R' U2 R D' R' U2 R'
9 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' L' U R U' L
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') y' r U R' U' r' F R F'
8 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
y F U R U' R' U R U' R2 F' R U R U' R'
15 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
R U' L' U R' U L U L' U L
11 HTM · 2.5% · 4 algs
Pi 6
R' F' U' F U' R U S' R' U R S
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.