Two-generator last layer (2GLL)
Niche
Since the 2000s
Every case cross-checked
Edges oriented and corners permuted: the whole last layer, R and U algorithms first: 84 cases.
ZBLL T
ZBLL T 61
(U') y2 R U' R' U2 R U R' U2 R U R' U R U' R'
15 HTM · 5 algs
ZBLL T 62
(U') R' U R U2 R' U' R U2 R' U' R U' R' U R
15 HTM · 5 algs
ZBLL T 63
(U') R U' R U2 R U2 R' U R U R' U' R' U R' U'
16 HTM · 5 algs
ZBLL T 64
R U2 R' U' R U' R' U R U R' U R U2 R'
15 HTM · 6 algs
ZBLL T 65
(U') R' U R2 U R' U R' U' R U' R' U' R U R U' R'
17 HTM · 5 algs
ZBLL T 66
(U2) R U2 R2 U R' U2 R2 U R U' R U' R U' R2
15 HTM · 6 algs
ZBLL T 67
(U') R U2 R' U2 R' U2 R U R U' R' U R' U R
15 HTM · 5 algs
ZBLL T 68
(U2) R U R2 U' R2 U' R2 U2 R U' R U' R'
13 HTM · 5 algs
ZBLL T 69
R U2 R' U' R U' R2 U2 R U R' U R
13 HTM · 5 algs
ZBLL T 70
R' U2 R U R' U R2 U2 R' U' R U' R'
13 HTM · 5 algs
ZBLL T 71
R' U R U2 R' U' R U' R U R' U' R' U' R U R U' R'
19 HTM · 6 algs
ZBLL T 72
(U') R' U R U2 R' U2 R' U' R U' R' U2 R U2 R
15 HTM · 8 algs
ZBLL U
ZBLL U 61
(U2) U2 R U R' U R U2 R' U R U2 R' U' R U' R'
16 HTM · 7 algs
ZBLL U 62
(U') R' U' R U' R' U2 R U' R' U2 R U R' U R
15 HTM · 6 algs
ZBLL U 63
(U2) R U2 R' U' R U' R' U' R U R' U R U2 R'
15 HTM · 7 algs
ZBLL U 64
(U) U R' U2 R2 U R2 U R U' R U R' U' R U' R'
16 HTM · 6 algs
ZBLL U 65
(U2) R' U2 R U R' U R U R' U' R U' R' U2 R
15 HTM · 6 algs
ZBLL U 66
(U) y R U2 R2 U' R2 U' R' U R' U' R U R' U R
15 HTM · 4 algs
ZBLL U 67
R U R' U R' U2 R2 U R2 U R2 U' R'
13 HTM · 5 algs
ZBLL U 68
R' U' R U' R U2 R2 U' R2 U' R2 U R
13 HTM · 4 algs
ZBLL U 69
R' U' R U' R' U2 R2 U R' U R U2 R'
13 HTM · 4 algs
ZBLL U 70
(U2) R U R' U' R U' R' U2 R U' R' U2 R U' R' U' R U' R'
19 HTM · 5 algs
ZBLL U 71
R U R' U' R U' R U2 R2 U' R U R' U' R2 U' R2
17 HTM · 9 algs
ZBLL U 72
(U) y R U2 R' U' R U' R' U2 R' U2 R U R' U R
15 HTM · 10 algs
ZBLL L
ZBLL L 61
(U2) R2 U R' U R' U' R U' R' U' R U R U' R2
15 HTM · 6 algs
ZBLL L 62
(U2) R U2 R' U' R U' R' U R' U2 R U R' U R
15 HTM · 4 algs
ZBLL L 63
(U2) R U R' U R U2 R' U R' U' R U' R' U2 R
15 HTM · 2 algs
ZBLL L 64
R U2 R U R2 U R' U' R U R' U2 R' U R'
15 HTM · 5 algs
ZBLL L 65
R' U2 R U R' U R U' R U2 R' U' R U' R'
15 HTM · 2 algs
ZBLL L 66
(U2) y2 R2 U' R U' R U R' U R U R' U' R' U R2
15 HTM · 6 algs
ZBLL L 67
R' U' R U' R' U2 R U' R U R' U R U2 R'
15 HTM · 3 algs
ZBLL L 68
R2 U R' U' R' U R U R' U R U' R U' R2
15 HTM · 5 algs
ZBLL L 69
R' U2 R U R' U R U2 R' U' R U' R' U2 R
15 HTM · 8 algs
ZBLL L 70
R' U' R U' R' U2 R U2 R' U2 R U R' U R
15 HTM · 8 algs
ZBLL L 71
(U2) R U R' U R U' R' U R U' R' U R U2 R'
15 HTM · 8 algs
ZBLL L 72
R U R' U R U' R' U R U2 R' U' R U2 R' U' R U' R'
19 HTM · 5 algs
ZBLL H
ZBLL H 33
R U R' U R U' R' U R U2 R'
11 HTM · 4 algs
ZBLL H 34
R' U' R U' R' U R U' R' U2 R
11 HTM · 3 algs
ZBLL H 35
(U2) R' U2 R U R' U' R U R' U R
11 HTM · 3 algs
ZBLL H 36
(U2) R U2 R' U' R U R' U' R U' R'
11 HTM · 3 algs
ZBLL H 37
(U) R U R2 U' R2 U R2 U2 R2 U2 R' U R' U R
15 HTM · 8 algs
ZBLL H 38
R U2 R' U' R U' R' U' R' U' R U' R' U2 R
15 HTM · 7 algs
ZBLL H 39
R U R' U R U2 R' U' R' U2 R U R' U R
15 HTM · 8 algs
ZBLL H 40
R U R' U R U' R' U R U' R' U R' U' R2 U' R' U R' U R
21 HTM · 12 algs
ZBLL Pi
ZBLL Pi 61
R U2 R2 U' R2 U' R2 U2 R
9 HTM · 3 algs
ZBLL Pi 62
(U) R U2 R' U' R U' R' U2 R' U' R U' R' U2 R
15 HTM · 5 algs
ZBLL Pi 63
(U2) R U2 R' U2 R U' R' U2 R U' R' U2 R U R'
15 HTM · 7 algs
ZBLL Pi 64
(U) R U2 R' U' R' U' R' U' R U R' U' R2 U2 R
15 HTM · 5 algs
ZBLL Pi 65
R U' R' U2 R U R' U2 R U R' U2 R U2 R'
15 HTM · 5 algs
ZBLL Pi 66
R' U R U2 R' U' R U2 R' U' R U2 R' U2 R
15 HTM · 5 algs
ZBLL Pi 67
(U) R' U2 R U R' U R U2 R U R' U R U2 R'
15 HTM · 5 algs
ZBLL Pi 68
R' U2 R2 U R2 U R2 U2 R'
9 HTM · 3 algs
ZBLL Pi 69
R U R' U R U2 R' U' R U R' U R U2 R'
15 HTM · 7 algs
ZBLL Pi 70
R' U' R U' R' U2 R U R' U' R U' R' U2 R
15 HTM · 5 algs
ZBLL Pi 71
(U) R' U2 R U R' U R U R' U2 R U R' U R
15 HTM · 7 algs
ZBLL Pi 72
R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R'
15 HTM · 9 algs
ZBLL S
ZBLL S 61
(U) R U R' U' R' U2 R U R' U R U' R U' R'
15 HTM · 9 algs
ZBLL S 62
(U') R U R' U R U' R' U R' U' R2 U' R' U R' U R
17 HTM · 6 algs
ZBLL S 63
R U R2 U' R2 U' R2 U2 R2 U2 R'
11 HTM · 6 algs
ZBLL S 64
(U2) R' U2 R U R' U R
7 HTM · 4 algs
ZBLL S 65
(U2) R U R' U R U R U R U R U' R' U' R2
15 HTM · 7 algs
ZBLL S 66
R2 U R U' R' U' R U2 R U' R2 U' R2
13 HTM · 6 algs
ZBLL S 67
R U R' U R U2 R'
7 HTM · 5 algs
ZBLL S 68
R' U2 R2 U2 R2 U' R2 U' R2 U R
11 HTM · 6 algs
ZBLL S 69
R U R' U R2 U R U R2 U' R' U' R2
13 HTM · 5 algs
ZBLL S 70
(U') R U R2 U' R' U' R U R U R2 U2 R'
13 HTM · 7 algs
ZBLL S 71
R' U' R U' R U R2 U R2 U2 R'
11 HTM · 6 algs
ZBLL S 72
R U R' U' R U R' U R U R U2 R' U' R U' R' U R'
19 HTM · 8 algs
ZBLL AS
ZBLL AS 61
(U') R' U' R U' R' U R U' R U R2 U R U' R U' R'
17 HTM · 9 algs
ZBLL AS 62
(U) R U R U R' U R2 U' R' U R' U2 R' U' R'
15 HTM · 8 algs
ZBLL AS 63
R' U' R U' R' U' R' U' R' U' R' U R U R2
15 HTM · 5 algs
ZBLL AS 64
(U) y' R' U' R U' R U R2 U R U' R U R' U' R U' R'
17 HTM · 7 algs
ZBLL AS 65
R' U' R2 U R2 U R2 U2 R2 U2 R
11 HTM · 6 algs
ZBLL AS 66
(U2) R U2 R' U' R U' R'
7 HTM · 5 algs
ZBLL AS 67
R U2 R2 U2 R2 U R2 U R2 U' R'
11 HTM · 5 algs
ZBLL AS 68
R' U' R U' R' U2 R
7 HTM · 5 algs
ZBLL AS 69
R U R' U R U2 R' U R' U2 R U R' U R
15 HTM · 5 algs
ZBLL AS 70
R' U' R U' R U R' U' R' U2 R U R U' R'
15 HTM · 5 algs
ZBLL AS 71
R U R' U R' U' R2 U' R2 U2 R
11 HTM · 8 algs
ZBLL AS 72
(U) y R U' R U R' U R U2 R' U' R' U' R U' R' U R U' R'
19 HTM · 8 algs
PLL
H
R2 U2' R U2' R2 U2' R2 U2' R U2' R2
11 HTM · one-handed sheet · 5 algs
Ua
(U2) (R U' R U) R U (R U' R' U') R2
11 HTM · one-handed sheet · 6 algs
Ub
(U2) z (U' R U' R') (U' R' U' R) U R U2' z'
11 HTM · one-handed sheet · 6 algs
Z
y (R' U' R U') (R U R U') (R' U R U) R2 U' R' U2
16 HTM · one-handed sheet · 5 algs
Source: Derived 2026-10-29 from zbll-t, zbll-u, zbll-l, zbll-h, zbll-pi, zbll-s, zbll-as, pll: the cases the engine finds match the rule "corners-permuted", with their sources' definitions and algorithms, each algorithm re-checked against this set's goal. More algorithms turning only R and U from Cubemuch, https://cubemuch.com/en/algs/3x3/zbll/, each matched to its case by the engine. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.