OLL ALGORITHMS

Every OLL algorithm, grouped by shape

Orientation of the Last Layer — getting the whole top face 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 — 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.

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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