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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

U
U BBFF AsA 1/486
14%
U 11%
All 27 algs
U BBFF AsC 1/486
18%
11%
All 33 algs
U BBFF AsO 1/486
U 66%
U 10%
All 8 algs
U BBFF CsA 1/486
U' 33%
U 22%
All 25 algs
U BBFF CsC 1/486
44%
All 26 algs
U BBFF CsO 1/486
U' 33%
U' 10%
All 28 algs
U BBFF CxO 1/486
U' 47%
U' 12%
U' 12%
All 13 algs
U BBFF OsA 1/486
U' 64%
10%
All 11 algs
U BBFF OsC 1/486
U 35%
All 36 algs
U BBFF OsO 1/486
33%
U 18%
14%
All 15 algs
U BBFF OxC 1/486
U' 41%
U' 17%
All 11 algs
U BBFF OxO 1/486
U' 30%
U' 23%
U 10%
All 16 algs
U BFFB AsA 1/486
U 44%
U2 23%
U' 10%
All 11 algs
U BFFB AsC 1/486
54%
12%
All 11 algs
U BFFB AsO 1/486
60%
26%
All 5 algs
U BFFB CsA 1/486
49%
U' 26%
All 12 algs
U BFFB CsC 1/486
16%
U 16%
U2 11%
All 16 algs
U BFFB CsO 1/486
U' 50%
U 11%
All 15 algs
U BFFB CxO 1/486
U2 49%
U2 26%
All 9 algs
U BFFB OsA 1/486
U' 33%
16%
U2 11%
All 13 algs
U BFFB OsC 1/486
U' 43%
U 27%
All 13 algs
U BFFB OsO 1/486
18%
U2 14%
U 10%
All 16 algs
U BFFB OxC 1/486
40%
U2 19%
15%
All 8 algs
U BFFB OxO 1/486
78%
11%
All 5 algs
U FFLR AsA 1/486
21%
19%
U' 18%
All 24 algs
U FFLR AsC 1/486
U' 39%
U2 32%
All 13 algs
U FFLR AsO 1/486
U' 21%
U 19%
U' 17%
All 19 algs
U FFLR CsA 1/486
U2 48%
U' 27%
All 11 algs
U FFLR CsC 1/486
U2 28%
U2 14%
U2 12%
All 19 algs
U FFLR CsO 1/486
U' 30%
U' 12%
U 12%
All 22 algs
U FFLR CxO 1/486
40%
38%
All 10 algs
U FFLR OsA 1/486
29%
14%
All 18 algs
U FFLR OsC 1/486
U 23%
U' 22%
U 12%
All 19 algs
U FFLR OsO 1/486
53%
12%
11%
All 10 algs
U FFLR OxC 1/486
U 29%
15%
U' 13%
All 24 algs
U FFLR OxO 1/486
43%
29%
17%
All 6 algs
U FRLF AsA 1/486
U' 44%
24%
All 11 algs
U FRLF AsC 1/486
U 42%
U 37%
All 7 algs
U FRLF AsO 1/486
29%
U' 25%
All 14 algs
U FRLF CsA 1/486
U2 24%
20%
U2 11%
All 12 algs
U FRLF CsC 1/486
62%
All 13 algs
U FRLF CsO 1/486
U2 26%
U 22%
18%
All 20 algs
U FRLF CxO 1/486
U 26%
22%
U' 17%
All 16 algs
U FRLF OsA 1/486
U' 52%
U 12%
U' 11%
All 10 algs
U FRLF OsC 1/486
35%
U' 14%
U' 13%
All 12 algs
U FRLF OsO 1/486
35%
U' 12%
U 11%
All 19 algs
U FRLF OxC 1/486
89%
All 6 algs
U FRLF OxO 1/486
U' 49%
U 18%
All 10 algs
U LFFR AsA 1/486
U2 26%
22%
U2 22%
All 10 algs
U LFFR AsC 1/486
U2 34%
27%
16%
All 9 algs
U LFFR AsO 1/486
U 27%
U' 13%
All 21 algs
U LFFR CsA 1/486
U' 52%
U 13%
All 13 algs
U LFFR CsC 1/486
U2 67%
11%
All 7 algs
U LFFR CsO 1/486
U 47%
U 23%
U 18%
All 6 algs
U LFFR CxO 1/486
U' 56%
U' 16%
All 9 algs
U LFFR OsA 1/486
U' 45%
U2 10%
All 15 algs
U LFFR OsC 1/486
U 31%
U2 19%
U' 17%
All 16 algs
U LFFR OsO 1/486
U' 28%
26%
U' 11%
All 16 algs
U LFFR OxC 1/486
43%
18%
U2 13%
All 12 algs
U LFFR OxO 1/486
40%
U 29%
All 7 algs
U LRFF AsA 1/486
82%
U2 12%
All 3 algs
U LRFF AsC 1/486
U 67%
U' 23%
U' 10%
U LRFF AsO 1/486
42%
31%
16%
All 8 algs
U LRFF CsA 1/486
U' 68%
19%
U2 11%
All 5 algs
U LRFF CsC 1/486
U 34%
U 19%
U 11%
All 33 algs
U LRFF CsO 1/486
U' 48%
U2 30%
All 7 algs
U LRFF CxO 1/486
U 82%
All 4 algs
U LRFF OsA 1/486
U 37%
U2 17%
U 17%
All 11 algs
U LRFF OsC 1/486
U 54%
U 18%
U' 10%
All 8 algs
U LRFF OsO 1/486
37%
U2 19%
All 16 algs
U LRFF OxC 1/486
U2 47%
U2 24%
U2 18%
All 8 algs
U LRFF OxO 1/486
U2 67%
29%
All 4 algs