Nautilus 1LLL
Notation
Specialist
Since the 2020s
Every case cross-checked
Finish the whole last layer together.
LL Trapezoids / T3
T3o
(R') R' L' R' L R Lw' L R' L' R Lw
11 HTM · 1 alg
T3o-
(R') U' Lw' B L B' Lw R L' R' U
10 HTM · 2 algs
T3o+
(R') R U' B L' B' L U R' U' R L R' L' U
14 HTM · 1 alg
T3r+
(R') R' L F L' F' L' U L F L F' L' U'
13 HTM · 1 alg
T3b+
(R) R B L' B' Lw R L R' Lw'
9 HTM · 1 alg
T3l+
R' U' B Uw U' B Uw R' Uw' U R' U R' Uw' B Uo' Do'
15 HTM · 2 algs
T3l-
(R) R U L U' Lw' B L' B' Lw R L R' U L' U'
15 HTM · 1 alg
T3r-
Lw F' B L' B' Lw R L R' Lw' F Lw'
12 HTM · 1 alg
T3b-
(R') R Lw B L B' Lw R Lw' L' F' Lw R' Lw' F Lw'
15 HTM · 1 alg
T3b
L' R' U B L' B' L R' L R L' U' R L
14 HTM · 1 alg
T3l
(R') U' R' L R' L' R U R' L F R F' L'
13 HTM · 2 algs
T3r
(R) R' F' R' L' R L F R F R' L' R' L R' F'
15 HTM · 1 alg
Source: Cubemuch, https://cubemuch.com/en/algs/fto/1lll/, 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.