Last edge with corner orientation (BLE)

Niche

Since the 2000s

The slot's corner in place and its edge on top, every edge oriented: insert the edge and orient the corners, 27 cases.

(U2) R' U' S' U2 S U' R

9 HTM · 11 algs

(U2) y' B Lw B' Lw' U2 Lw B Lw' B'

9 HTM · 7 algs

y2 B U' B' U' L B U2 B' L'

9 HTM · 10 algs

(U) y2 L B U B' L' B U' B'

8 HTM · 7 algs

B U B' R' U' B' R2 B U R

10 HTM · 7 algs

B' R' U' B' R B U R B

9 HTM · 7 algs

(U') Rw U2 B U2 B' U2 Rw'

7 HTM · 7 algs

(U2) Rw' y' U2 Rw' U' Rw y U2 Rw

7 HTM · 5 algs

(U2) R' U' B' R' B U R B U2 B'

10 HTM · 6 algs

(U2) Rw' y' U2 Rw' U Rw y U2 Rw

7 HTM · 6 algs

(U) B' R' U' B' R' B U R B

9 HTM · 8 algs

(U2) x' Rw U2 Rw' y' U2 Rw' U Rw U2

8 HTM · 6 algs

R B' R B R' U B U' B' U' R'

11 HTM · 7 algs

(U) z B' Rw' B R' B' R Rw B

8 HTM · 7 algs

(U) R U' R' U R U R' U2 R U R'

11 HTM · 9 algs

R U R' U2 R U' R' U2 R U' R'

11 HTM · 10 algs

z U Rw U2 Rw' U2 z' U Rw

7 HTM · 3 algs

Rw' y Rw' y2 U2 Rw U2 Rw' U'

7 HTM · 3 algs

x U2 B' U2 R B' R' U2 B U2

(U2) R' U' R2 U' R2 U2 R2 U R'

9 HTM · 7 algs

(U) R U' R2 U2 R2 U R2 U R

9 HTM · 7 algs

(U2) R U2 R' U R U2 R' U' R U2 R'

11 HTM · 10 algs

(U) R U' R' U' R U' R' U R U R'

11 HTM · 7 algs

(U') R U L U' R' U L' U R U2 R'

11 HTM · 10 algs

(U') R U R' U2 R U2 R' U2 R U' R'

11 HTM · 6 algs

(U) R U' R' U' R U R' U R U R'

11 HTM · 9 algs

(U2) R U2 R' U R U' R' U2 R U' R'

11 HTM · 10 algs

Source: Cubemuch, https://cubemuch.com/en/algs/3x3/ble/, retrieved 2026-10-29: case names and groups, and each case's algorithms: those credited to the community sheets it cites first, in its order, then those its search found, best-scored first (no votes or setups). Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.