ZZ-b last layer (ZZLL)
Niche
Since the 2000s
Every case cross-checked
Edges oriented and phased: the whole last layer in one algorithm: 169 cases.
ZBLL T
ZBLL T 5
(U') y F R U R' U' R U R' U' F' R U R' U' R' F R F'
18 HTM · 4 algs
ZBLL T 6
(U) y2 R' U' R' D' R U R' D R2
9 HTM · 4 algs
ZBLL T 7
R' U2 R F U' R' U R U F' R' U R
13 HTM · 4 algs
ZBLL T 8
(U') y' R' U' R U R' U R L' U R' U' R L
13 HTM · 4 algs
ZBLL T 17
(U') y' r U R' U' r' F R F'
8 HTM · 4 algs
ZBLL T 18
(U') R' U' R U' R2 F' R U R U' R' F U R U' R' U2 R
18 HTM · 4 algs
ZBLL T 19
(U2) U2 R U R D R' U2 R D' R' U' R' U R U' R' U' R U' R'
20 HTM · 4 algs
ZBLL T 20
(U') y' R U R' U' R U' R' L U' R U R' L'
13 HTM · 4 algs
ZBLL T 29
F R U' R' U' R U2 R' U' F' R' U' R U' R' U2 R
17 HTM · 4 algs
ZBLL T 30
R' U2 R U R' U R F U R U2 R' U R U R' F'
17 HTM · 4 algs
ZBLL T 31
(U2) y2 r U' r U2 R' F R U2 r2 F
10 HTM · 3 algs
ZBLL T 32
(U2) y2 R' U' R2 U R' F' R U R' U' R' F R2 U' R' U' R' U R
19 HTM · 4 algs
ZBLL T 41
(U') y' l' U2 R' D2 R U2 R' D2 R2 x'
9 HTM · 3 algs
ZBLL T 42
(U') y' l U2 R D2 R' U2 R D2 R2 x
9 HTM · 4 algs
ZBLL T 43
(U2) y2 F R U R' U' R U' R' U' R U R' F'
13 HTM · 4 algs
ZBLL T 44
(U2) y' R U R' U2 R U' R' U2 R U' R2 F' R U R U' R' F
18 HTM · 4 algs
ZBLL T 53
(U2) y2 r2 U R' U' r' F R F' U R' U' r' F R F'
15 HTM · 4 algs
ZBLL T 54
(U2) y2 R2 F R U R' U' R' F' R' U' R2 U2 R U2 R
15 HTM · 4 algs
ZBLL T 55
(U2) y2 R U' R2 D' r U2 r' D R2 U R'
11 HTM · 4 algs
ZBLL T 56
R' U R2 D r' U2 r D' R2 U' R
11 HTM · 4 algs
ZBLL T 69
R U2 R' U' R U' R2 U2 R U R' U R
13 HTM · 4 algs
ZBLL T 70
(U2) y2 R' U2 R U R' U R2 U2 R' U' R U' R'
13 HTM · 3 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 · 4 algs
ZBLL T 72
(U') y' R U R' U R U2 R' U2 R' U' R U' R' U2 R
15 HTM · 4 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 "edges-phased", with their sources' definitions and algorithms, each algorithm re-checked against this set's goal. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.