3ELL
Niche
Every case cross-checked
Finish the last edges when the corners and the other edges are solved.
MS +
(U2') Uv F' U' L' U L F Dv2 F R U R' U' F' Uv2 Dv
12 HTM · 1 alg
MS -
(U2') Dv F U R U' R' F' Uv2 F' L' U' L U F Dv2 Uv
12 HTM · 1 alg
HF +
(U') F' U2' L' U L F Dv2 F R U R' U' F' Uv R' U R Dv Uv2
15 HTM · 1 alg
HF-
(U) F U2 R U' R' F' Uv2 F' L' U' L U F Dv L U' L' Uv Dv2
15 HTM · 1 alg
NA a-
(U2') Dv F U2 R F' U' L' U L F R' U' F' U' Uv
13 HTM · 1 alg
NA a+
(U2') Uv F' U2' L' F U R U' R' F' L U F U Dv
13 HTM · 1 alg
ND a-
(U) Uv2 L R2' U2' L' R F' L R' U2 L' R F R Dv2
13 HTM · 1 alg
ND a+
(U') Dv2 R' L2 U2 R L' F R' L U2' R L' F' L' Uv2
13 HTM · 1 alg
MA -
(U2') R' F' U' F U L R U F U' F' L'
12 HTM · 1 alg
MA +
(U2') L F U F' U' R' L' U' F' U F R
12 HTM · 1 alg
A o
(U2) L F R' F' L' U2' R U R U' R2' U2 R
13 HTM · 1 alg
MA d+
(U2') F U R F' L' U' L U F R' U2' F' U
13 HTM · 1 alg
NA d-
(U2') F' U' L' F R U R' U' F' L U2 F U'
13 HTM · 1 alg
MD -
(U) Uv R' F' L U F U F' U2' L' F U R U' Dv
13 HTM · 1 alg
MD +
(U') Uv2 R' U' F' L U2 F U' F' U' L' F R U Dv2
13 HTM · 1 alg
D o
(U2) R' U' R L F R' F' L' U2' R U R U' R2' U2' R
16 HTM · 1 alg
ND d-
(U) Dv2 L F L R' U2 L' R F' L R' U2' L2' R Uv2
13 HTM · 1 alg
ND d+
(U') Uv2 R' F' R' L U2' R L' F R' L U2 R2 L' Dv2
13 HTM · 1 alg
Source: Cubemuch, https://cubemuch.com/en/algs/megaminx/3ell/, 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). The source's first six verified alternatives per case are retained; further generated variants are omitted to keep case pages and the client bundle bounded. Every algorithm shown was checked by the logic engine; rejected ones are listed in docs/db-exclusions.md.