COLL algorithms — 40 Corners of the Last Layer cases
COLL (Corners of the Last Layer) solves all 4 last-layer corners — permutation and orientation — in one algorithm when the 4 last-layer edges are already oriented. Finish the edges with EPLL (Ua, Ub, Z, H). Cube Resolver lists all 40 cases from the JPerm Algorithm Trainer, in 7 corner-shape groups, with recognition images and 3D demos at /oll/coll.
What is COLL? When to use it
COLL is an advanced last-layer step: you skip full OLL then full PLL. The condition is that the 4 last-layer edges are already oriented (yellow/white stickers on U) — common in ZZ, or some last-slot F2L that leaves EO. Only the 4 corners remain: COLL places and orients all four, then one of 4 EPLL cases finishes the cube.
Unlike 57 OLL, which only orients the last layer, COLL also permutes the corners. Unlike ZBLL, which solves the whole last layer in one alg, COLL stops at corners and leaves EPLL.
7 COLL groups on Cube Resolver
40 cases grouped by corner shape (OCLL), with the usual speedcubing labels: L (6) · U (6) · T (6) · Pi (6) · H (4) · Sune (6) · Antisune (6). JPerm flags Sune and Antisune as slow — the full 40 stay for lookup; learn L, U, T, Pi, H first.
- Alg source: JPerm Algorithm Trainer (jperm.net/algs/coll), verified in the app.
- Each case: recognition image, one or more algorithms, step-by-step 3D demo.
- Open the Advanced (COLL) tab in /oll or go straight to /oll/coll. After COLL, use the 4 EPLL cases on /pll.
Browse COLL by group
Each group has its own landing (alg table + FAQ) for long-tail OCLL shape queries:
- COLL L — 6 Algorithms
- COLL U — 6 Algorithms
- COLL T — 6 Algorithms
- COLL Pi — 6 Algorithms
- COLL H — 4 Algorithms
- COLL Sune — 6 Algorithms
- COLL Antisune — 6 Algorithms
All 40 COLL algorithms by group (L · U · T · Pi · H · Sune · Antisune)
L (6)
| Case | Primary algorithm |
|---|---|
| L1 | R' U2 (R U R' U') R U R' U' R U R' U R |
| L2 | R' U2 R' D' R U2 R' D R2 |
| L3 | R U2 R D R' U2 R D' R2 |
| L4 | F R' F' r U R U' r' |
| L5 | F' r U R' U' r' F R |
| L6 | R' U' (R U R') F' R U R' U' R' F R2 |
U (6)
| Case | Primary algorithm |
|---|---|
| U1 | R' U' R U' R' U2 R R U R' U R U2 R' |
| U2 | R' F R U' R' U' R U R' F' R U R' U' R' F R F' R |
| U3 | R2 D R' U2 R D' R' U2 R' |
| U4 | F R U' R' U R U R' U R U' R' F' |
| U5 | R2 D' R U2 R' D R U2 R |
| U6 | R2 D' R U R' D R U R U' R' U' R |
T (6)
| Case | Primary algorithm |
|---|---|
| T1 | R U2 R' U' R U' R' R' U2 R U R' U R |
| T2 | R' U R U2 R' L' U R U' L |
| T3 | y l' U' L U l F' L' F |
| T4 | y2 F R U R' U' R U' R' U' R U R' F' |
| T5 | y' r U R' U' r' F R F' |
| T6 | R' U R2 D r' U2 r D' R2 U' R |
Pi (6)
| Case | Primary algorithm |
|---|---|
| P1 | R U2 (R2 U' R2 U' R2) U2 R |
| P2 | R' F2 R U2 R U2 R' F2 U' R U' R' |
| P3 | R' U' F' R U R' U' R' F R2 U2 R' U2 R |
| P4 | R U R' U' R' F R2 U R' U' R U R' U' F' |
| P5 | R U' L' U R' U L U L' U L |
| P6 | R2 D' R U R' D R U R U' R' U R U R' U R |
H (4)
| Case | Primary algorithm |
|---|---|
| H1 | R U R' U R U' R' U R U2 R' |
| H2 | F R U' R' U R U2 R' U' R U R' U' F' |
| H3 | R U R' U R U L' U R' U' L |
| H4 | F R U R' U' R U R' U' R U R' U' F' |
Sune (6) — rarely used
| Case | Primary algorithm |
|---|---|
| S1 | R U R' U R U2 R' |
| S2 | L' U2 L U2 R U' L' U L R' |
| S3 | R2 D' R U2 R' D R2 U R' U R |
| S4 | y' R U R' U R U' R D R' U' R D' R2 |
| S5 | R U' L' U R' U' L |
| S6 | F' R U2 R' U2 R' F2 R U R U' R' F' |
Antisune (6) — rarely used
| Case | Primary algorithm |
|---|---|
| AS1 | L' U' L U' L' U2 L |
| AS2 | R' U2 F' R U R' U' R' F R2 U R' U R |
| AS3 | R2 D R' U2 R D' R2 U' R U' R' |
| AS4 | R' U' R U' R2 D' R U2 R' D R2 |
| AS5 | L' U R U' L U R' |
| AS6 | y2 R U' R' U2 R U' R' U2 R' D' R U R' D R |
FAQ
What is COLL on a 3×3 Rubik’s Cube?
COLL (Corners of the Last Layer) is a set of 40 algorithms that solve both permutation and orientation of the 4 last-layer corners in one step, when last-layer edges are already oriented. Cube Resolver lists all 40 with 3D demos at /oll/coll.
How is COLL different from OLL and ZBLL?
OLL (57 cases) only orients the last layer. COLL (40 cases) orients and permutes the 4 corners while edges are already oriented. ZBLL (~472 cases in the app, excluding PLL) solves the whole last layer in one look. Learn COLL before ZBLL.
What comes after COLL?
After COLL you only permute the 4 last-layer edges: the 4 EPLL cases (Ua, Ub, Z, H) on Cube Resolver’s PLL page.
How many COLL T / U / L cases? Which group first?
L, U, T, Pi have 6 cases each; H has 4; Sune and Antisune have 6 each. Learn L, U, T, Pi, H first; Sune/Antisune later. Each group has its own page (e.g. /huong-dan/en/coll-t-algorithms.html).
Where do COLL algs come from? Is there a trainer?
Primary algs follow JPerm Algorithm Trainer (jperm.net/algs/coll). Cube Resolver lists them with 3D demos at /oll/coll; filter groups with ?group=T (and other groups).
More speedcubing guides
- Cube Resolver speedcubing timer — time Ao5 and Ao12
- Timer stats — Ao5, Ao12, and solve trend
- OLL algorithms — all 57 CFOP cases on Cube Resolver
- PLL algorithms — all 21 CFOP cases on Cube Resolver
- ZBLL algorithms — 472 Zborowski-Bruchem Last Layer cases
- Solver algorithms — Cross, XCross, C+1 flow charts