Last three corners (L3C)

Common

Since the 2000s

Every case cross-checked

Three last-layer corners cycled, everything else solved: 18 cases.

ZBLL T

(U) y2 R' U' R' D' R U R' D R2

9 HTM · 4 algs

(U') y' r U R' U' r' F R F'

8 HTM · 4 algs

(U') y' l' U2 R' D2 R U2 R' D2 R2 x'

9 HTM · 3 algs

(U') y' l U2 R D2 R' U2 R D2 R2 x

9 HTM · 4 algs

ZBLL U

(U2) y2 R2 D R' U2 R D' R' U2 R'

9 HTM · 4 algs

R2 D' R U2 R' D R U2 R

9 HTM · 3 algs

x' R2 D2 R' U2 R D2 R' U2 R' x

9 HTM · 4 algs

(U2) y2 x R2 D2 R U2 R' D2 R U2 R x'

9 HTM · 4 algs

ZBLL L

R' U2 R' D' R U2 R' D R2

9 HTM · 4 algs

y F R' F' r U R U' r'

8 HTM · 4 algs

(U2) y2 F' r U R' U' r' F R

8 HTM · 4 algs

(U) y R U2 R D R' U2 R D' R2

9 HTM · 3 algs

ZBLL S

R' D R2 D' R2 U R2 D R2 D' R2 U' R'

13 HTM · 4 algs

R U' L' U R' U' L

7 HTM · 4 algs

ZBLL AS

(U2) y2 R' F U2 F' R F R' U2 R F'

10 HTM · 4 algs

y2 L' U R U' L U R'

7 HTM · 4 algs

PLL

x R' U R' D2 R U' R' D2 R2 x'

9 HTM · 5 algs

x R2 D2 R U R' D2 R U' R x'

9 HTM · 6 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 "three-corners", 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.