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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 sets Refines 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 RUR'U' gets one colour, the sledgehammer R'FRF' another. Hover any box for its name.

RUR'URU2R'
One trigger, whole: the Sune, which on an oriented-edge last layer is a ZBLL on its own.
RU2R'U'RU'R' R'U2RUR'UR
Three Righties and a double, each its own box.
RUR'U' R'FR2U' R'U' RUR'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

S
S FBBF AsA 1/486
U2 55%
26%
All 5 algs
S FBBF AsC 1/486
47%
U' 27%
U 11%
All 7 algs
S FBBF AsO 1/486
61%
19%
U' 16%
All 5 algs
S FBBF CsA 1/486
56%
U 27%
15%
All 4 algs
S FBBF CsC 1/486
U 26%
U2 25%
U2 15%
All 11 algs
S FBBF CsO 1/486
U2 87%
U2 13%
S FBBF CxO 1/486
64%
U' 14%
U' 10%
All 6 algs
S FBBF OsA 1/486
U 71%
U' 11%
All 5 algs
S FBBF OsC 1/486
U' 44%
U' 19%
All 10 algs
S FBBF OsO 1/486
U2 100%
All 2 algs
S FBBF OxC 1/486
U 40%
U' 30%
All 10 algs
S FBBF OxO 1/486
65%
23%
All 4 algs
S FBFB AsA 1/486
U' 40%
U2 25%
All 9 algs
S FBFB AsC 1/486
U 25%
21%
U 20%
All 10 algs
S FBFB AsO 1/486
U' 76%
U' 11%
All 4 algs
S FBFB CsA 1/486
U' 83%
U2 12%
All 3 algs
S FBFB CsC 1/486
U' 34%
20%
20%
All 11 algs
S FBFB CsO 1/486
24%
U2 15%
14%
All 18 algs
S FBFB CxO 1/486
U2 51%
U2 34%
All 6 algs
S FBFB OsA 1/486
U 64%
U 16%
U 14%
All 4 algs
S FBFB OsC 1/486
U2 46%
39%
All 8 algs
S FBFB OsO 1/486
U' 22%
U' 21%
U 12%
All 13 algs
S FBFB OxC 1/486
U2 58%
U2 14%
U2 10%
All 6 algs
S FBFB OxO 1/486
47%
U 19%
U' 17%
All 7 algs
S FLFR AsA 1/486
U' 69%
U' 15%
11%
All 6 algs
S FLFR AsC 1/486
U' 72%
U 28%
S FLFR AsO 1/486
49%
U' 18%
17%
All 6 algs
S FLFR CsA 1/486
45%
U' 24%
18%
All 7 algs
S FLFR CsC 1/486
U' 20%
15%
15%
All 22 algs
S FLFR CsO 1/486
84%
13%
All 6 algs
S FLFR CxO 1/486
43%
U 28%
U' 16%
All 7 algs
S FLFR OsA 1/486
U2 27%
27%
U' 21%
All 8 algs
S FLFR OsC 1/486
61%
U2 24%
All 5 algs
S FLFR OsO 1/486
U' 51%
U2 26%
19%
All 4 algs
S FLFR OxC 1/486
U' 35%
22%
U2 17%
All 9 algs
S FLFR OxO 1/486
U' 57%
28%
All 5 algs
S FLRF AsA 1/486
U2 37%
27%
U' 13%
All 7 algs
S FLRF AsC 1/486
U 34%
U' 17%
U' 12%
All 11 algs
S FLRF AsO 1/486
U' 100%
S FLRF CsA 1/486
U 76%
11%
All 4 algs
S FLRF CsC 1/486
37%
U2 10%
All 13 algs
S FLRF CsO 1/486
U' 35%
15%
11%
All 8 algs
S FLRF CxO 1/486
U 38%
33%
U 26%
All 5 algs
S FLRF OsA 1/486
57%
29%
U 11%
All 4 algs
S FLRF OsC 1/486
88%
12%
S FLRF OsO 1/486
32%
26%
U' 15%
All 8 algs
S FLRF OxC 1/486
50%
U 22%
U2 20%
All 5 algs
S FLRF OxO 1/486
U' 28%
U' 18%
U' 10%
All 15 algs
S LFFR AsA 1/486
63%
All 4 algs
S LFFR AsC 1/486
U 72%
17%
All 4 algs
S LFFR AsO 1/486
71%
11%
All 5 algs
S LFFR CsA 1/486
U 62%
20%
All 6 algs
S LFFR CsC 1/486
57%
U 17%
U' 15%
All 6 algs
S LFFR CsO 1/486
52%
16%
11%
All 7 algs
S LFFR CxO 1/486
U 29%
U' 15%
U 13%
All 8 algs
S LFFR OsA 1/486
46%
24%
U 11%
All 7 algs
S LFFR OsC 1/486
U2 87%
U2 13%
S LFFR OsO 1/486
51%
U2 19%
13%
All 6 algs
S LFFR OxC 1/486
U 22%
U' 20%
10%
All 17 algs
S LFFR OxO 1/486
U2 86%
All 4 algs
S LFRF AsA 1/486
49%
U2 35%
13%
All 4 algs
S LFRF AsC 1/486
38%
23%
17%
All 6 algs
S LFRF AsO 1/486
U' 30%
U 17%
U2 13%
All 6 algs
S LFRF CsA 1/486
28%
U 25%
U2 23%
All 8 algs
S LFRF CsC 1/486
45%
U' 21%
All 12 algs
S LFRF CsO 1/486
67%
U 14%
10%
All 5 algs
S LFRF CxO 1/486
U' 40%
U' 18%
12%
All 10 algs
S LFRF OsA 1/486
U 77%
U' 13%
U' 10%
S LFRF OsC 1/486
51%
11%
U' 11%
All 6 algs
S LFRF OsO 1/486
30%
U 25%
15%
All 9 algs
S LFRF OxC 1/486
29%
19%
14%
All 12 algs
S LFRF OxO 1/486
U 44%
U2 12%
U 10%
All 11 algs