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OLL ALGORITHMS

Every OLL algorithm, grouped by shape

Orientation of the Last Layer, meaning the whole top face turned one colour. 57 cases sounds brutal until you group them by the shape you see, which is how you recognise them anyway. Start with the 2-look subset and grow into the rest.

Cross

All four edges oriented, so only the corners are left. The 2-look subset.

Double Sune

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

Cross already formed, no corner oriented.

Pi

R U2 R2 U' R2 U' R2 U2 R

Cross already formed, no corner oriented.

Headlights

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

Cross already formed, two corners oriented.

Chameleon

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

Cross already formed, two corners oriented.

Bowtie

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

Cross already formed, two corners oriented.

Antisune

R U2 R' U' R U' R'

Cross already formed, one corner oriented.

Sune

R U R' U R U2 R'

Cross already formed, one corner oriented.

Dot

No edges oriented. Eight cases, all long.

Dot 1

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

No edges oriented, no corner oriented.

Dot 2

r U R' U2 R U2 r' U2 r U' r'

No edges oriented, no corner oriented.

Dot 3

r' R2 U R' U r U2 r' U M'

No edges oriented, one corner oriented.

Dot 4

M U' r U2 r' U' R U' R' M'

No edges oriented, one corner oriented.

Dot 17

F R' F' R2 r' U R U' R' U' M'

No edges oriented, two corners oriented.

Dot 18

r U R' U R U2 r2 U' R U' R' U2 r

No edges oriented, two corners oriented.

Dot 19

r' R U R U R' U' M' R' F R F'

No edges oriented, two corners oriented.

Dot 20

r U R' U' M2 U R U' R' U' M'

No edges oriented, all four corners oriented.

Line

Two opposite edges oriented, forming a bar through the centre.

Line 51

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

Two edges oriented, no corner oriented.

Line 52

R U R' U R U' B U' B' R'

Two edges oriented, no corner oriented.

Line 55

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

Two edges oriented, no corner oriented.

Line 56

r U r' U R U' R' U R U' R' r U' r'

Two edges oriented, no corner oriented.

L Shape

Two adjacent edges oriented, forming a corner.

Small L 47

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

Two edges oriented, no corner oriented.

Small L 48

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

Two edges oriented, no corner oriented.

Small L 49

r U' r2 U r2 U r2 U' r

Two edges oriented, no corner oriented.

Small L 50

R' F R2 B' R2 F' R2 B R'

Two edges oriented, no corner oriented.

Small L 53

l' U' L U' L' U L U' L' U2 l

Two edges oriented, no corner oriented.

Small L 54

r U R' U R U' R' U R U2 r'

Two edges oriented, no corner oriented.

Fish

The fish-shaped corner patterns.

Kite 9

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

Two edges oriented, one corner oriented.

Kite 10

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

Two edges oriented, one corner oriented.

Fish 35

R U2 R2 F R F' R U2 R'

Two edges oriented, two corners oriented.

Fish 37

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

Two edges oriented, two corners oriented.

Square

A 2x2 block of oriented stickers.

Square 5

r' U2 R U R' U r

Two edges oriented, one corner oriented.

Square 6

r U2 R' U' R U' r'

Two edges oriented, one corner oriented.

Lightning Bolt

The zig-zag bolt shapes, small and big.

Small Lightning 7

r U R' U R U2 r'

Two edges oriented, one corner oriented.

Small Lightning 8

r' U' R U' R' U2 r

Two edges oriented, one corner oriented.

Small Lightning 11

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

Two edges oriented, one corner oriented.

Small Lightning 12

M' R' U' R U' R' U2 R U' M

Two edges oriented, one corner oriented.

Big Lightning 39

f' r U r' U' r' F r S

Two edges oriented, two corners oriented.

Big Lightning 40

f R' F' R U R U' R' S'

Two edges oriented, two corners oriented.

C Shape

A C traced around the last layer.

C Shape 34

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

Two edges oriented, two corners oriented.

C Shape 46

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

Two edges oriented, two corners oriented.

P Shape

The P and mirrored-P patterns.

P Shape 31

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

Two edges oriented, two corners oriented.

P Shape 32

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

Two edges oriented, two corners oriented.

P Shape 43

F' U' L' U L F

Two edges oriented, two corners oriented.

P Shape 44

F U R U' R' F'

Two edges oriented, two corners oriented.

W Shape

The W and mirrored-W patterns.

W Shape 36

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

Two edges oriented, two corners oriented.

W Shape 38

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

Two edges oriented, two corners oriented.

T Shape

A T formed by the oriented edges.

T Shape 33

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

Two edges oriented, two corners oriented.

T Shape 45

F R U R' U' F'

Two edges oriented, two corners oriented.

Knight Move

Offset shapes named for the chess move.

Knight 13

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

Two edges oriented, one corner oriented.

Knight 14

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

Two edges oriented, one corner oriented.

Knight 15

l' U' l L' U' L U l' U l

Two edges oriented, one corner oriented.

Knight 16

r U r' R U R' U' r U' r'

Two edges oriented, one corner oriented.

Awkward

The cases with no cleaner name, and no shortcuts.

Awkward 29

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

Two edges oriented, two corners oriented.

Awkward 30

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

Two edges oriented, two corners oriented.

Awkward 41

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

Two edges oriented, two corners oriented.

Awkward 42

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

Two edges oriented, two corners oriented.

All Corners Oriented

Corners already done; the edges are not.

Corners Oriented 28

r U R' U' r' R U R U' R'

Two edges oriented, all four corners oriented.

Corners Oriented 57

R U R' U' M' U R U' r'

Two edges oriented, all four corners oriented.

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