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ZBLL Algorithms

Every algorithm for all 72 one-look last-layer cases, ranked by the alg sources that match real solves.

Related setsRefines COLL

What makes this database different

Consensus scores every alg site and sheet against what top solvers were actually reconstructed doing, then adds up what those resources recommend for this case. A resource whose picks match real usage counts for several times more than one whose picks don't, and each resource's own top pick counts more than its alternates. So the order here is fed by pro solves, one step removed. How it works.

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.

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.

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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 R U R' U' gets one colour, the sledgehammer R' F R F' another. Hover any box for its name.

R U R' U R U2 R'
One trigger, whole: the Sune, which on an oriented-edge last layer is a ZBLL on its own.
R U2 R' U' R U' R'R' U2 R U R' U R
Three Righties and a double, each its own box.
R U R' U'R' F R2 U'R' U'R U R' F'
A long conjugate: set up with F, work, undo - shaded deepest inside the frame.

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.

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ZBLL Overview

most-recommended algorithms for every case

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L
U41%
25%
17%
All 9 algs
U'40%
U27%
All 16 algs
U50%
U216%
U15%
All 8 algs
U'34%
10%
All 21 algs
U'21%
U20%
U218%
All 19 algs
U30%
22%
U'12%
All 12 algs
34%
U225%
All 15 algs
45%
15%
U'13%
All 11 algs
36%
U'19%
U12%
All 9 algs
U31%
All 11 algs
27%
U16%
U'13%
All 16 algs
28%
All 9 algs
U249%
U10%
All 8 algs
U22%
15%
U'13%
All 11 algs
U277%
All 5 algs
36%
16%
U212%
All 9 algs
U'27%
U'18%
U10%
All 14 algs
U44%
U25%
U212%
All 8 algs
U37%
37%
U'14%
All 7 algs
65%
All 9 algs
U'53%
U12%
All 7 algs
U'70%
U'12%
U10%
All 5 algs
U240%
U'24%
11%
All 21 algs
U42%
U34%
All 8 algs
U236%
U226%
All 9 algs
U35%
16%
U215%
All 8 algs
36%
U215%
U'13%
All 11 algs
U246%
U220%
U217%
All 7 algs
U78%
All 5 algs
U263%
U18%
All 8 algs
U260%
13%
11%
All 6 algs
U66%
U14%
U210%
All 6 algs
50%
U29%
All 8 algs
U47%
U24%
All 8 algs
U'36%
U'17%
U211%
All 9 algs
U235%
U24%
16%
All 6 algs
U'30%
U'17%
15%
All 13 algs
U'68%
U'14%
U13%
All 4 algs
45%
25%
13%
All 7 algs
U'28%
28%
10%
All 11 algs
93%
All 5 algs
52%
U'20%
13%
All 9 algs
U'34%
U'23%
16%
All 9 algs
U53%
U'19%
10%
All 8 algs
45%
24%
All 6 algs
52%
U222%
All 7 algs
U42%
U'24%
All 9 algs
U20%
18%
U'16%
All 16 algs
U75%
All 5 algs
69%
U222%
All 4 algs
52%
U216%
U'13%
All 6 algs
U80%
U12%
All 4 algs
U'20%
16%
10%
All 29 algs
U'63%
U'18%
All 8 algs
U91%
All 3 algs
U60%
U'12%
U210%
All 8 algs
U252%
U226%
11%
All 6 algs
U'49%
U'27%
All 11 algs
66%
U216%
U215%
All 4 algs
U75%
All 5 algs
48%
22%
U218%
All 4 algs
U53%
U'11%
All 8 algs
U47%
U39%
All 5 algs
30%
23%
U216%
All 8 algs
22%
16%
U213%
All 16 algs
46%
17%
All 7 algs
U40%
U219%
11%
All 23 algs
U70%
All 8 algs
U'30%
U215%
13%
All 7 algs
U'50%
19%
U213%
All 9 algs
31%
30%
15%
All 8 algs
26%
U18%
16%
All 7 algs