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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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U
14%
U11%
All 27 algs
18%
11%
All 33 algs
U66%
U10%
All 8 algs
U'33%
U22%
All 25 algs
44%
All 26 algs
U'33%
U'10%
All 28 algs
U'47%
U'12%
U'12%
All 13 algs
U'64%
10%
All 11 algs
U35%
All 36 algs
33%
U18%
14%
All 15 algs
U'41%
U'17%
All 11 algs
U'30%
U'23%
U10%
All 16 algs
U44%
U223%
U'10%
All 11 algs
54%
12%
All 11 algs
60%
26%
All 5 algs
49%
U'26%
All 12 algs
16%
U16%
U211%
All 16 algs
U'50%
U11%
All 15 algs
U249%
U226%
All 9 algs
U'33%
16%
U211%
All 13 algs
U'43%
U27%
All 13 algs
18%
U214%
U10%
All 16 algs
40%
U219%
15%
All 8 algs
78%
11%
All 5 algs
21%
19%
U'18%
All 24 algs
U'39%
U232%
All 13 algs
U'21%
U19%
U'17%
All 19 algs
U248%
U'27%
All 11 algs
U228%
U214%
U212%
All 19 algs
U'30%
U'12%
U12%
All 22 algs
40%
38%
All 10 algs
29%
14%
All 18 algs
U23%
U'22%
U12%
All 19 algs
53%
12%
11%
All 10 algs
U29%
15%
U'13%
All 24 algs
43%
29%
17%
All 6 algs
U'44%
24%
All 11 algs
U42%
U37%
All 7 algs
29%
U'25%
All 14 algs
U224%
20%
U211%
All 12 algs
62%
All 13 algs
U226%
U22%
18%
All 20 algs
U26%
22%
U'17%
All 16 algs
U'52%
U12%
U'11%
All 10 algs
35%
U'14%
U'13%
All 12 algs
35%
U'12%
U11%
All 19 algs
89%
All 6 algs
U'49%
U18%
All 10 algs
U226%
22%
U222%
All 10 algs
U234%
27%
16%
All 9 algs
U27%
U'13%
All 21 algs
U'52%
U13%
All 13 algs
U267%
11%
All 7 algs
U47%
U23%
U18%
All 6 algs
U'56%
U'16%
All 9 algs
U'45%
U210%
All 15 algs
U31%
U219%
U'17%
All 16 algs
U'28%
26%
U'11%
All 16 algs
43%
18%
U213%
All 12 algs
40%
U29%
All 7 algs
82%
U212%
All 3 algs
U67%
U'23%
U'10%
42%
31%
16%
All 8 algs
U'68%
19%
U211%
All 5 algs
U34%
U19%
U11%
All 33 algs
U'48%
U230%
All 7 algs
U82%
All 4 algs
U37%
U217%
U17%
All 11 algs
U54%
U18%
U'10%
All 8 algs
37%
U219%
All 16 algs
U247%
U224%
U218%
All 8 algs
U267%
29%
All 4 algs