2x2x2Loading…

2x2x2 simulator and solver

Play a virtual 2x2x2 in your browser, or enter the colors of your own 2x2x2 and get a solution. Also known as Pocket Cube.

Info

Pieces
TypeCountStickersPositionsOrientation (physical)Orientation (visual)
383833
One row per orbit. Orientation counts are per position; multiple values mean positions differ.
Stickers
24
Axes
33 cut planes across them
Solver
Available
Distinct-piece states
≈ 3,674,16088,179,840 arrangements of the stickers the moves reach (Schreier–Sims)÷ 24 turns of the whole puzzle= 3,674,160Tracks individual sticker identities, even on identical-looking pieces; whole-puzzle rotations are identified. Invisible rotations of a piece and internal pieces are not counted.
Visually distinct states
Not computedVisually distinct states = distinct-piece states ÷ reachable indistinguishable arrangements.Reachable indistinguishable arrangements = 1 × reachable fraction.No visually interchangeable sticker-bearing pieces were found.The reachable fraction accounts for restrictions such as permutation parity. Computing the correct fraction and the final visual state count is not yet implemented.
Put together at random
1 in 3 reaches the original sticker identities8!·3⁸ = 264,539,520 ways to put the pieces in: per type of piece, its pieces in any order and each in any orientation that looks different÷ 88,179,840 arrangements the moves reach = 3This uses distinct piece identities; the chance of reaching a visually solved state may be higher.

Moves

Face turns

x
y
z

2×2 beginner method

Solve the 2×2 Rubik's Cube (Pocket Cube) layer by layer: first-layer corners, opposite-face orientation, then last-layer corner permutation.

The detected first-face color is below and the opposite color above in the reference hold. There are no fixed centers. A reference corner establishes the color order; preparation sets the working hold for each algorithm.

First layer

Solve four corners with matching side colors, not just a single-color face.

  1. The reference corner establishes the first color and the side-color order.
  2. Find the corner belonging in the next bottom slot. Lift a misplaced corner into U if necessary.
  3. Align and insert each corner while keeping the completed corners.

Insert or lift a first-layer corner

R U R'

Open the corner slot, align the corner in U, and close the slot. Use an insertion to extract a misplaced corner first. Keep already completed first-layer corners.

Opposite face

Orient the four last-layer corners without disturbing the first layer.

  1. Look at the upper-color stickers on the top and sides.
  2. Use Sune, Anti-Sune or Headlights in the suggested hold. Some positions need more than one application.
  3. Keep the first layer below. Side colors are arranged in the next phase.

Before this phase: First layer.

Sune

(R U R' U) (R U2 R')

Corner-only application of 3×3 OLL 27.

Anti-Sune

R U2 R' U' R U' R'

Corner-only application of 3×3 OLL 26.

Headlights

R2 D R' U2 R D' R' U2 R'

Corner-only application of 3×3 OLL 23.

Last-layer corners

Permute the oriented top corners and align the layer to finish.

  1. Look for a matching pair of side stickers (a bar).
  2. Use the adjacent swap when a bar is present, or the diagonal swap when it is absent.
  3. Use the suggested setup and align U afterwards.

Before this phase: First layer, Opposite face.

Adjacent corner swap

[R, U] (R' F R2 U') R' U' (R U R' F')

Match this case before applying. Align U afterwards if needed.

Diagonal corner swap

F R U' R' U' R U R' F' R U R' U' R' F R F'

Match this case before applying. Align U afterwards if needed.

2×2 Ortega method

Solve one face, orient the opposite face with seven OLL cases, then permute both layers with PBL. Ortega does not require a solved first layer before OLL.

The detected first-face color is below and the opposite color above in the reference hold. There are no fixed centers. A reference corner establishes the color order; preparation sets the working hold for each algorithm.

First face

Make one complete face; the side colors do not need to match yet.

  1. Keep the first color on the bottom.
  2. Bring the other three stickers of that color onto the same face using short face turns.
  3. A face with unmatched side colors is ready for the next phase; PBL fixes their order later.

U face turn

U

Bring a first-face corner into place. The first face needs one color; side colors can be arranged later.

R face turn

R

Bring a first-face corner into place. The first face needs one color; side colors can be arranged later.

OLL: opposite face

Orient the opposite face with one of seven corner-orientation cases.

  1. Match the upper-color shape, including stickers on the sides.
  2. Align U and apply the matching OLL algorithm.
  3. Both opposite faces should now be single colors; their side stickers can still be permuted.
  4. These seven 2×2 corner-orientation cases are different from the 57-case 3×3 OLL collection. PBL arranges their side colors afterwards.

Before this phase: First face.

Ortega OLL — Sune

R U R' U R U2 R'

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Anti-Sune

R' U' R U' R' U2 R

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Headlights

[F: [R, U]]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Pi

[F: [R, U]2]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Blinkers

[R, U] [R', F]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Bowtie

F R' F' R U R U' R'

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Double headlights

R2 U2 R' U2 R2

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

PBL: permute both layers

PBL means Permutation of Both Layers. Both opposite faces must be complete; arrange the corners on both layers to finish the cube.

  1. Find the bars on both layers: solved, adjacent swap or diagonal swap.
  2. Align both layers to the case. A turnover handles the equivalent bottom-layer case.
  3. Apply PBL, then align U and D to finish.
  4. Each layer can be solved or need an adjacent or diagonal swap. Grouping equivalent top/bottom cases leaves five nontrivial combinations. T and Y are the top-only adjacent and diagonal swap alternatives.

Before this phase: First face, OLL: opposite face.

PBL — adjacent swap on top

[R, U] R' F R2 U' R' U' R U R' F'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — diagonal swap on top

F R U' R' U' R U R' F' [R, U] R' F R F'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — adjacent swaps on both layers

R2 U' R2 U2 F2 U' R2

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — adjacent and diagonal swaps

R U' L U2 R' U L'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — diagonal swaps on both layers

R2 F2 R2

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

2×2 CLL method

Solve a complete first layer, then orient and permute the last-layer corners with the 42 CLL cases. A final upper-layer alignment finishes the cube.

The detected first-face color is below and the opposite color above in the reference hold. There are no fixed centers. A reference corner establishes the color order; preparation sets the working hold for each algorithm.

First layer

Solve four corners with matching side colors, not just a single-color face.

  1. The reference corner establishes the first color and the side-color order.
  2. Find the corner belonging in the next bottom slot. Lift a misplaced corner into U if necessary.
  3. Align and insert each corner while keeping the completed corners.

Insert or lift a first-layer corner

R U R'

Open the corner slot, align the corner in U, and close the slot. Use an insertion to extract a misplaced corner first. Keep already completed first-layer corners.

CLL: corners of the last layer

CLL means Corners of the Last Layer. Orient and permute the last four corners together after completing the first layer, including its side colors. A single-color face is sufficient for Ortega, but not CLL.

  1. Complete the bottom layer, including its side-color bars.
  2. Recognize the top-color shape and the side-color relationships. Cases are grouped as Anti-Sune, H, L, Pi, Sune, T, U and already-oriented PLL.
  3. Use the suggested hold and CLL algorithm, then align U. An already-oriented face may still need one of the two PLL cases.
  4. The collection contains 40 orientation/permutation cases plus two already-oriented permutation cases. A completely solved last layer needs no CLL algorithm.

Before this phase: First layer.

CLL AS 1

(y R U2 R' U' R U' R') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 2

R U2 R' F R' F' R U' R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 3

(y2 F' L F L' U2 L' U2 L) y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 4

(y2 R' F R F' R U R') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 5

(y2 R U2 R' U2 R' F R F') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 6

(y' R U2 R' U' R U' R' F R' F' R U R U' R' U') y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 1

F R2 U' R2 U' R2 U R2 F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 2

R U R' U R U R' F R' F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 3

(y F R U R' U' R U R' U' R U R' U' F') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 4

(y R2 U2 R' U2 R2) y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 1

(y R U2 R' F' R U2 R' U R' F2 R) y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 2

(y2 R U2 R2 F2 R U R' F2 R F') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 3

(y2 R' U R' U2 R U' R' U R U' R2) y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 4

(y R U2 R2 F R F' R U2 R') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 5

(y F R' F' R U R U' R') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 6

(y2 F' R U R' U' R' F R) y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 1

(y F R' F' R U2 R U' R' U R U2 R') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 2

R U2 R' U' R U R' U2 R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 3

(y F R2 U' R2 U R2 U R2 F') y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 4

(y2 R' F R F' R U' R' U' R U' R') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 5

(y' R' U' R' F R F' R U' R' U2 R) y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 6

F R U R' U' R U R' U' F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 1

L' U2 L U2 L F' L' F

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 2

R U R' U' R' F R F' R U R' U R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 3

R U' R' F R' F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 4

F R' F' R U2 R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 5

(y2 R U R' U R' F R F' R U2 R') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 6

R U R' U R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 1

(y' R U R' U' R' F R F') y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 2

(y L' U' L U L F' L' F) y'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 3

F U' R U2 R' U' F2 R U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 4

R' U R U2 R2 F' R U' R' F2 R2

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 5

(y2 F R U R' U' R U' R' U' R U R' F') y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 6

R' U R U2 R2 F R F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 1

(y' F R U R' U' F') y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 2

R' U' R2 U R' U2 R U2 R' U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 3

(y2 F R U R' U2 F' R U' R' F) y y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 4

(y' F R' F' R U' R U' R' U2 R U' R') y

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 5

R U' R2 F R F' R U R' U' R U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 6

R' U R' F R F' R U2 R' U R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL PLL — adjacent

[R, U] (R' F R2 U') R' U' (R U R' F')

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL PLL — diagonal

F R U' R' U' R U R' F' R U R' U' R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

Well known algorithms and patterns

Beginner / Ortega

Sune

(R U R' U) (R U2 R')

Corner-only application of 3×3 OLL 27.

Anti-Sune

R U2 R' U' R U' R'

Corner-only application of 3×3 OLL 26.

Headlights

R2 D R' U2 R D' R' U2 R'

Corner-only application of 3×3 OLL 23.

Adjacent corner swap

[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'

Ortega — adjacent swaps on both layers

R2 U' R2 U2 F2 U' R2

Ortega OLL

Ortega OLL — Sune

R U R' U R U2 R'

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Anti-Sune

R' U' R U' R' U2 R

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Headlights

[F: [R, U]]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Pi

[F: [R, U]2]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Blinkers

[R, U] [R', F]

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Bowtie

F R' F' R U R U' R'

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

Ortega OLL — Double headlights

R2 U2 R' U2 R2

Orient the opposite face while keeping the first face complete. Side colors need not match until PBL. Match the top-color pattern before applying.

PBL

PBL — adjacent swap on top

[R, U] R' F R2 U' R' U' R U R' F'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — diagonal swap on top

F R U' R' U' R U R' F' [R, U] R' F R F'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — adjacent swaps on both layers

R2 U' R2 U2 F2 U' R2

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — adjacent and diagonal swaps

R U' L U2 R' U L'

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

PBL — diagonal swaps on both layers

R2 F2 R2

Both opposite faces must already be oriented. Match the bars on both layers; use U/D alignment or turn the cube over for the corresponding bottom-layer case. Align the layers afterwards.

CLL

CLL AS 1

y R U2 R' U' R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 2

R U2 R' F R' F' R U' R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 3

y2 F' L F L' U2 L' U2 L

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 4

y2 R' F R F' R U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 5

y2 R U2 R' U2 R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL AS 6

y' R U2 R' U' R U' R' F R' F' R U R U' R' U'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 1

F R2 U' R2 U' R2 U R2 F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 2

R U R' U R U R' F R' F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 3

y F R U R' U' R U R' U' R U R' U' F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL H 4

y R2 U2 R' U2 R2

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 1

y R U2 R' F' R U2 R' U R' F2 R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 2

y2 R U2 R2 F2 R U R' F2 R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 3

y2 R' U R' U2 R U' R' U R U' R2

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 4

y R U2 R2 F R F' R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 5

y F R' F' R U R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL L 6

y2 F' R U R' U' R' F R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 1

y F R' F' R U2 R U' R' U R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 2

R U2 R' U' R U R' U2 R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 3

y F R2 U' R2 U R2 U R2 F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 4

y2 R' F R F' R U' R' U' R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 5

y' R' U' R' F R F' R U' R' U2 R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Pi 6

F R U R' U' R U R' U' F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 1

L' U2 L U2 L F' L' F

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 2

R U R' U' R' F R F' R U R' U R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 3

R U' R' F R' F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 4

F R' F' R U2 R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 5

y2 R U R' U R' F R F' R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL Sune 6

R U R' U R U2 R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 1

y' R U R' U' R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 2

y L' U' L U L F' L' F

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 3

F U' R U2 R' U' F2 R U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 4

R' U R U2 R2 F' R U' R' F2 R2

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 5

y2 F R U R' U' R U' R' U' R U R' F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL T 6

R' U R U2 R2 F R F' R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 1

y' F R U R' U' F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 2

R' U' R2 U R' U2 R U2 R' U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 3

y2 F R U R' U2 F' R U' R' F

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 4

y' F R' F' R U' R U' R' U2 R U' R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 5

R U' R2 F R F' R U R' U' R U R'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL U 6

R' U R' F R F' R U2 R' U R

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL PLL — adjacent

[R, U] (R' F R2 U') R' U' (R U R' F')

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

CLL PLL — diagonal

F R U' R' U' R U R' F' R U R' U' R' F R F'

Solve a complete first layer, including its side colors. Recognize both the top-color shape and the side-color relationships. This case orients and permutes the last-layer corners; regrips and a final U alignment may be needed.

Patterns

Checkerboard — four sides

R2 F2 R2 U2

Cube in a cube

R F U' R2 U F' R U F2 R2

Four columns

U F2 U2 R2 U

Four vertical flags and two checkerboards, listed in the source's Nice patterns section.