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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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U255%
26%
All 5 algs
47%
U'27%
U11%
All 7 algs
61%
19%
U'16%
All 5 algs
56%
U27%
15%
All 4 algs
U26%
U225%
U215%
All 11 algs
U287%
U213%
64%
U'14%
U'10%
All 6 algs
U71%
U'11%
All 5 algs
U'44%
U'19%
All 10 algs
U2100%
All 2 algs
U40%
U'30%
All 10 algs
65%
23%
All 4 algs
U'40%
U225%
All 9 algs
U25%
21%
U20%
All 10 algs
U'76%
U'11%
All 4 algs
U'83%
U212%
All 3 algs
U'34%
20%
20%
All 11 algs
24%
U215%
14%
All 18 algs
U251%
U234%
All 6 algs
U64%
U16%
U14%
All 4 algs
U246%
39%
All 8 algs
U'22%
U'21%
U12%
All 13 algs
U258%
U214%
U210%
All 6 algs
47%
U19%
U'17%
All 7 algs
U'69%
U'15%
11%
All 6 algs
U'72%
U28%
49%
U'18%
17%
All 6 algs
45%
U'24%
18%
All 7 algs
U'20%
15%
15%
All 22 algs
84%
13%
All 6 algs
43%
U28%
U'16%
All 7 algs
U227%
27%
U'21%
All 8 algs
61%
U224%
All 5 algs
U'51%
U226%
19%
All 4 algs
U'35%
22%
U217%
All 9 algs
U'57%
28%
All 5 algs
U237%
27%
U'13%
All 7 algs
U34%
U'17%
U'12%
All 11 algs
U'100%
U76%
11%
All 4 algs
37%
U210%
All 13 algs
U'35%
15%
11%
All 8 algs
U38%
33%
U26%
All 5 algs
57%
29%
U11%
All 4 algs
88%
12%
32%
26%
U'15%
All 8 algs
50%
U22%
U220%
All 5 algs
U'28%
U'18%
U'10%
All 15 algs
63%
All 4 algs
U72%
17%
All 4 algs
71%
11%
All 5 algs
U62%
20%
All 6 algs
57%
U17%
U'15%
All 6 algs
52%
16%
11%
All 7 algs
U29%
U'15%
U13%
All 8 algs
46%
24%
U11%
All 7 algs
U287%
U213%
51%
U219%
13%
All 6 algs
U22%
U'20%
10%
All 17 algs
U286%
All 4 algs
49%
U235%
13%
All 4 algs
38%
23%
17%
All 6 algs
U'30%
U17%
U213%
All 6 algs
28%
U25%
U223%
All 8 algs
45%
U'21%
All 12 algs
67%
U14%
10%
All 5 algs
U'40%
U'18%
12%
All 10 algs
U77%
U'13%
U'10%
51%
11%
U'11%
All 6 algs
30%
U25%
15%
All 9 algs
29%
19%
14%
All 12 algs
U44%
U212%
U10%
All 11 algs