42 cases

COLL — corners of the last layer

Orient and permute the last-layer corners at once, leaving the edges oriented but scrambled.

COLL solves the corners completely while the edges stay oriented, which leaves you with one of only four edge cases to finish — U-perm either way, H, or Z. It is the first real step past CFOP and the usual gateway into one-look last layers, because a fair few of these algorithms are ones you already know from OLL.

From expert

Corners oriented 2

Corners oriented — adjacent swap

O1
Not started Expert 9 moves
xR'UR'D2RU'R'D2R2x'

The whole top face is already one colour and the corners still need moving. Three corners cycle, or — counting the finishing U turn — two neighbouring corners swap.

Corners oriented — diagonal swap

O2
Not started Expert 17 moves
FRU'R'U'RUR'F'RUR'U'R'FRF'

Top face solid, and the two corners that need to swap sit diagonally opposite each other. Every side face shows a matching pair of corner stickers, but no U turn lines them all up with the centres.

Sune family 6

Sune — corners in order

S1
Not started Expert 7 moves
RUR'URU2R'

Sune shape: one corner solved, the other three showing the top colour on their sides in the same rotational direction. Hold the solved corner at the front-right and the corners are already in the order they belong.

Sune — back pair swaps

S2
Not started Expert 10 moves
R'U'FUF'RUFU2F'

Sune with the solved corner at the front-right; the two corners along the back are the pair that still need to trade places.

Sune — left pair swaps

S3
Not started Expert 10 moves
R'U2RUFR'URU'F'

Sune with the solved corner at the front-right; the two corners down the left-hand side are the ones out of place.

Sune — right pair swaps

S4
Not started Expert 10 moves
FR'U2RF'R'FU2F'R

Sune with the solved corner at the front-right; the front-right and back-right corners swap.

Sune — front pair swaps

S5
Not started Expert 7 moves
RU'L'UR'U'L

Sune with the solved corner at the front-right; the two front corners swap.

Sune — diagonal swap

S6
Not started Expert 11 moves
RUR'UL'URU'LU2R'

Sune with the solved corner at the front-right; the two corners that need to swap sit diagonally.

Anti-sune family 6

Anti-sune — corners in order

AS1
Not started Expert 7 moves
RU2R'U'RU'R'

Anti-sune shape: one solved corner, the other three twisted the other way from a Sune. Hold the solved corner at the front-right and the corners are already in order.

Anti-sune — back pair swaps

AS2
Not started Expert 10 moves
FU2F'U'R'FU'F'UR

Anti-sune with the solved corner at the front-right; the two corners along the back swap.

Anti-sune — left pair swaps

AS3
Not started Expert 10 moves
FUR'U'RF'U'R'U2R

Anti-sune with the solved corner at the front-right; the left-hand pair of corners swaps.

Anti-sune — right pair swaps

AS4
Not started Expert 7 moves
R'ULU'RUL'

Anti-sune with the solved corner at the front-right; the front-right and back-right corners swap.

Anti-sune — front pair swaps

AS5
Not started Expert 10 moves
R'FU2F'RFR'U2RF'

Anti-sune with the solved corner at the front-right; the two front corners swap.

Anti-sune — diagonal swap

AS6
Not started Expert 11 moves
RU2L'UR'U'LU'RU'R'

Anti-sune with the solved corner at the front-right; the pair that swaps is diagonal.

Pi family 6

Pi — corners in order

Pi1
Not started Expert 9 moves
RU2R2U'R2U'R2U2R

Pi shape: no corner solved, two twisted clockwise sitting next to each other and two anticlockwise. Hold the clockwise pair at the front and the corners are already in order.

Pi — back pair swaps

Pi2
Not started Expert 12 moves
RUR'UF2RU2R'U2R'F2R

Pi with the clockwise pair at the front; the two corners at the back need to trade.

Pi — left pair swaps

Pi3
Not started Expert 12 moves
R'U'FU'R2UR2UF'R2U2R'

Pi with the clockwise pair at the front; the left-hand pair of corners swaps.

Pi — right pair swaps

Pi4
Not started Expert 11 moves
LU'R'UL'URUR'UR

Pi with the clockwise pair at the front; the two right-hand corners swap.

Pi — front pair swaps

Pi5
Not started Expert 12 moves
R'F2RU2RU2R'F2U'RU'R'

Pi with the clockwise pair at the front; those same two front corners swap.

Pi — diagonal swap

Pi6
Not started Expert 12 moves
F'RUF2UR'U'RF2U'R'F

Pi with the clockwise pair at the front; the corners that swap are diagonal.

H family 4

H — corners in order

H1
Not started Expert 11 moves
RU2R'U'RUR'U'RU'R'

H shape: no corner solved, and the two twisted clockwise sit diagonally opposite. Hold any clockwise corner at the front-right and the corners are already in order.

H — back pair swaps

H2
Not started Expert 12 moves
RU2R2FU'R2U'R2UF'UR

H shape held with a clockwise corner at the front-right; the back pair swaps.

H — right pair swaps

H3
Not started Expert 11 moves
RUR'URUL'UR'U'L

H shape held with a clockwise corner at the front-right; the two right-hand corners swap.

H — diagonal swap

H4
Not started Expert 11 moves
R'F2R2U2R'F2RU2R2F2R

H shape with a diagonal pair of corners to swap.

L family 6

L — corners in order

L1
Not started Expert 13 moves
LU2L'R'U'RU'R'U2LRUL'

L shape — the bowtie — with the two solved corners diagonally opposite. Hold them at the front-right and back-left, with the front-left corner twisted clockwise; the corners are then already in order.

L — back pair swaps

L2
Not started Expert 9 moves
RU2RDR'U2RD'R2

Bowtie held with the solved corners at the front-right and back-left and the front-left twisted clockwise; the two corners at the back swap.

L — left pair swaps

L3
Not started Expert 9 moves
R'U2R'D'RU2R'DR2

Bowtie in the same hold as L2; this time the left-hand pair of corners swaps.

L — right pair swaps

L4
Not started Expert 9 moves
R2DR'URD'R'U'R'

Bowtie in the L2 hold; the front-right and back-right corners swap.

L — front pair swaps

L5
Not started Expert 9 moves
FUR'U'RF'R'UR

Bowtie in the L2 hold; the two front corners swap.

L — diagonal swap

L6
Not started Expert 10 moves
RUL'R'U2RUR'U2L

Bowtie in the L2 hold, with a diagonal pair of corners to swap.

T family 6

T — corners in order

T1
Not started Expert 13 moves
R'U2RUR'UR2U2R'U'RU'R'

T shape — two solved corners side by side. Hold them at the front, and check that the back-left corner is the one twisted clockwise. The corners are then already in order.

T — back pair swaps

T2
Not started Expert 10 moves
RU'R'U2LRU'R'UL'

T shape with the solved pair at the front and the back-left corner twisted clockwise; the back pair swaps.

T — left pair swaps

T3
Not started Expert 9 moves
RURDR'U'RD'R2

T shape in the T2 hold; the left-hand pair of corners swaps.

T — right pair swaps

T4
Not started Expert 9 moves
R'U'RFR'URU'F'

T shape in the T2 hold; the front-right and back-right corners swap.

T — front pair swaps

T5
Not started Expert 10 moves
RFR'U2RF'R'FU2F'

T shape in the T2 hold; the two front corners swap.

T — diagonal swap

T6
Not started Expert 12 moves
R'UF'R'U2RU2FU'R'UR2

T shape in the T2 hold, with a diagonal swap left over.

U family 6

U — corners in order

U1
Not started Expert 13 moves
RUR'URU2R2U'RU'R'U2R

U shape — two solved corners side by side, like the T but with the twists the other way round. Hold the solved pair at the front and check that the back-right corner is twisted clockwise. The corners are then in order already.

U — back pair swaps

U2
Not started Expert 13 moves
LU2L2R'U2RUR'U2L2U'L'R

U shape with the solved pair at the front and the back-right corner twisted clockwise; the back pair swaps.

U — left pair swaps

U3
Not started Expert 9 moves
R2D'RU2R'DRU2R

U shape in the U1 hold; the two left-hand corners swap.

U — right pair swaps

U4
Not started Expert 9 moves
R2DR'U2RD'R'U2R'

U shape in the U1 hold; the front-right and back-right corners swap.

U — front pair swaps

U5
Not started Expert 10 moves
R'U2RF'R'FU2F'RF

U shape in the U1 hold; the two front corners swap.

U — diagonal swap

U6
Not started Expert 10 moves
R'U2RFU'R'U'RUF'

U shape in the U1 hold, with a diagonal pair left to swap.