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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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aS
U27%
U'26%
10%
All 14 algs
U236%
All 4 algs
59%
U17%
U10%
All 6 algs
U2100%
All 3 algs
U251%
U14%
All 7 algs
U249%
U'19%
U16%
All 5 algs
75%
All 5 algs
U52%
23%
U214%
All 7 algs
U'68%
26%
All 3 algs
U293%
All 2 algs
53%
U37%
U11%
U40%
U13%
12%
All 8 algs
U'46%
U16%
All 10 algs
U261%
U227%
All 4 algs
U267%
U214%
All 5 algs
U281%
U212%
All 5 algs
U'42%
U17%
U'12%
All 12 algs
U230%
U'19%
U213%
All 10 algs
27%
U'25%
U222%
All 9 algs
U234%
17%
12%
All 12 algs
U233%
U230%
All 9 algs
U89%
All 4 algs
U28%
U225%
All 7 algs
U53%
U36%
All 5 algs
U'66%
U13%
U12%
All 4 algs
U'59%
U'14%
All 11 algs
U'50%
U11%
U10%
All 10 algs
48%
U237%
U213%
All 6 algs
U'25%
U20%
All 3 algs
U247%
U212%
All 14 algs
U'48%
U'20%
U15%
All 5 algs
29%
U227%
U'14%
All 10 algs
29%
23%
U214%
All 9 algs
U49%
27%
18%
All 8 algs
U'34%
U'17%
U14%
All 10 algs
U'37%
U225%
U221%
All 6 algs
U'42%
28%
U18%
All 6 algs
69%
21%
All 3 algs
U246%
U19%
U'12%
All 10 algs
U2100%
All 3 algs
44%
U'35%
16%
All 5 algs
47%
31%
All 5 algs
U50%
14%
10%
All 6 algs
U'50%
U215%
All 6 algs
U240%
U29%
U'14%
All 5 algs
47%
U'17%
U214%
All 5 algs
U2100%
42%
U'31%
U'15%
All 5 algs
U'28%
16%
U15%
All 23 algs
56%
U222%
U'16%
All 6 algs
56%
U231%
All 4 algs
U37%
U215%
U213%
All 9 algs
U84%
U13%
All 3 algs
U85%
U'10%
All 6 algs
44%
U27%
21%
All 6 algs
U'34%
U30%
U22%
All 7 algs
22%
U20%
U17%
All 12 algs
U61%
21%
All 7 algs
U260%
24%
All 7 algs
U258%
U32%
All 5 algs
U26%
U214%
U'12%
All 11 algs
U27%
U219%
U214%
All 8 algs
55%
27%
All 5 algs
U2100%
All 2 algs
U35%
U230%
U214%
All 5 algs
U257%
U'20%
U214%
All 4 algs
56%
U227%
All 5 algs
U'53%
U228%
U216%
All 4 algs
U'38%
15%
U213%
All 7 algs
U230%
U220%
U212%
All 10 algs
U'95%
All 2 algs
U239%
26%
10%
All 9 algs