OLL Algorithms

Every algorithm for all 57 last-layer orientation cases, ranked by how often top solvers actually use them.

What makes this database different

Pro usage counts how often an algorithm appears in reconstructed solves by the world's fastest cubers, drawn from reco.nz and CubeRoot. Alongside it sits each algorithm's community vote count from SpeedCubeDB, so you can see where the crowd and the pros disagree.

A history graph traces each algorithm's popularity over time - the share of that year's solves that used it, rising as it catches on or fading as cubers move to something faster.

A method bar splits those uses by how people solve: CFOP is the grey baseline, and a fat coloured slice means ZB or ZZ solvers favour the algorithm more than mainstream CFOP does.

  • ZB
  • ZZ
  • CFOP baseline

A grip bar asks a different question of the same solves: how many were done one-handed. One hand rewards regrip-light, rotationless algorithms, so a fat pink slice means the algorithm suits one hand better than the two-handed mainstream picks it. Its header switches the whole table between both grips, two-handed only and one-handed only.

  • One-handed
  • Two-handed baseline

And because plenty of OLL algorithms quietly do more than orient, a tech bar shows what each one left behind: a normal PLL, corners already permuted (COLL), or the whole last layer solved.

Alg lists repeat themselves: the same turns show up reordered, behind a different alignment, or just spelled a different way - a slice M written as r'R , a wide l written as x'R . Those all move the cube through exactly the same states, so we fold them into one row and add up their votes.

OLL 12, written 12 ways
y'M' R'U'RU'R'U2R U'M
37
y'rR' R'U'RU'R'U2R U'Rr'
+ 10
y'rR' R'U'RU'R'U2R U'r'R
+ 9
y'M' R'U'RU'R'U2R U'Rr'
+ 7
y'M' R'U'RU'R'U2R U'r'R
+ 3
y'R2rU'R U'R'U2R U'Rr'
+ 1
y'R2rU'R U'R'U2R U'M
+ 1
y'rR' R'U'RU'R'U2R U'M
+ 1
y'LR2F' RF'R' F2RF'L'R
+ 1
y'R'M'U'R U'R'U2R U'Rr'
+ 0
U'R'M' U'RU'R' U2 RU'r' R
+ 0
R'M'U'R U'R'U2R U'M
+ 0
y'M' R'U'RU'R'U2R U'M ×12
= 70

Mirrors are the exception: a left-handed version keeps its own row, because doing an algorithm on the other side is a genuinely different thing to learn.

Read more

Grouping gives an algorithm a shape you can picture instead of a string you have to spell, and it exposes the family resemblances: algorithms built from the same trigger carry the same colour, so the one you already know gives you a head start on the next. The Rightie RUR'U' gets one colour, the sledgehammer R'FRF' another. Hover any box for its name.

RUR'URU2R'
One trigger, whole: the Sune, not seven loose turns.
F' rUR'U' r'FR
A wide Rightie sitting inside a wider frame.
FRU'R'U'RUR'F'
A long conjugate: set up, one turn, undo - shaded deepest at the turn it set up for.

Cubers have always marked triggers by hand, in parentheses: F (R U R' U') (R U R' U') F'. The boxes are that convention drawn instead of typed, and they are worked out from the moves themselves rather than stored per algorithm - so every algorithm in the database has them, including the ones nobody ever bracketed.

Read more

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Drill these 57 cases

No Edges Flipped

All Edges Oriented

L

Lightning Bolts

P

I

Fish

Knight Move

Awkward

T

Squares

C

W

Edges

OLL Overview

most-used algorithms for every case

Printable PDF
All Edges Oriented Correctly
#26 Antisune 1/54
46%
U 32%
U2 21%
All 476 algs
#27 Sune 1/54
87%
All 492 algs
U 61%
29%
All 394 algs
#22 Pi-Shape 1/54
95%
All 637 algs
#24 Hammerhead 1/54
74%
U2 22%
All 902 algs
#25 L-Shape 1/54
U 58%
18%
All 665 algs
#23 U-Shape 1/54
47%
U2 42%
All 971 algs
T-Shapes
#33 Key 1/54
97%
All 124 algs
#45 T-Shape 1/54
93%
All 144 algs
Squares
#05 Lefty Square 1/54
U2 57%
43%
All 121 algs
#06 Righty Square 1/54
95%
All 111 algs
C-Shapes
#34 City 1/54
U2 26%
U2 16%
All 170 algs
96%
All 133 algs
W-Shapes
#36 Sea Mew 1/54
U2 85%
All 121 algs
#38 Mario 1/54
99%
All 117 algs
Corners Correct, Edges Flipped
#28 Stealth 1/54
89%
All 315 algs
#57 H-Shape 1/108
98%
All 248 algs
P-Shapes
#31 Couch 1/54
99%
All 117 algs
#32 Anti-Couch 1/54
46%
26%
U2 15%
All 151 algs
#43 Anti-P 1/54
U 86%
All 133 algs
#44 P-Shape 1/54
U2 75%
24%
All 143 algs
I-Shapes
#51 Bottlecap 1/54
U2 56%
28%
All 114 algs
#56 Streetlights 1/108
53%
21%
16%
All 128 algs
#52 Rice Cooker 1/54
25%
U2 24%
16%
All 140 algs
#55 Highway 1/108
U 63%
U 17%
All 136 algs
Fish-Shapes
#09 Kite 1/54
U 90%
All 129 algs
#10 Anti-Kite 1/54
71%
13%
All 140 algs
#35 Fish Salad 1/54
95%
All 121 algs
#37 Mounted Fish 1/54
67%
30%
All 131 algs
Knight Move Shapes
#13 Gun 1/54
27%
26%
22%
All 130 algs
#14 Anti-Gun 1/54
79%
12%
All 123 algs
#15 Squeegee 1/54
62%
U2 36%
All 116 algs
#16 Anti-Squeegee 1/54
96%
All 111 algs
Awkward Shapes
U 65%
22%
All 134 algs
U2 40%
U2 18%
U' 13%
All 183 algs
#41 Awkward Fish 1/54
U2 90%
All 124 algs
55%
14%
All 154 algs
L-Shapes
#48 Breakneck 1/54
100%
All 100 algs
29%
U' 24%
21%
All 114 algs
U2 70%
25%
All 129 algs
55%
U2 38%
All 111 algs
#53 Frying Pan 1/54
U2 37%
U 34%
25%
All 117 algs
U' 52%
46%
All 128 algs
Lightning Bolts
#07 Fat Sune 1/54
97%
All 107 algs
#08 Fat Antisune 1/54
64%
U2 33%
All 111 algs
#11 Downstairs 1/54
91%
All 130 algs
#12 Upstairs 1/54
U' 80%
U 12%
All 134 algs
#39 Fung 1/54
U 51%
U' 27%
All 127 algs
#40 Anti-Fung 1/54
U 97%
All 107 algs
No Edges Flipped Correctly
#01 Runway 1/108
85%
All 91 algs
#02 Zamboni 1/54
61%
U' 21%
All 151 algs
#03 Anti-Mouse 1/54
U' 65%
15%
All 124 algs
#04 Mouse 1/54
U' 32%
U' 32%
U 11%
All 134 algs
#18 Crown 1/54
38%
U 35%
All 159 algs
#19 Bunny 1/54
75%
16%
All 110 algs
#17 Slash 1/54
68%
U2 13%
All 144 algs
#20 Checkers 1/216
56%
22%
11%
All 146 algs

Algorithms last updated