Last triangles with corners kept
Notation
Specialist
Since the 2020s
Every case cross-checked
Solve the last triangles while preserving the corners.
Trapezoids
Trapezoids: Trapezoid / Right Diamond
R L' R' L R 2L' R' L' R Lw
11 HTM · 3 algs
Trapezoids: Trapezoid / Vertical Diamonds
(R') L R 2L' R' L' R 2L
9 HTM · 4 algs
Trapezoids: Trapezoid / Horizontal Diamonds
U L R' F' L F L' R U L' U
11 HTM · 3 algs
Trapezoids: Trapezoid / Left Diamond
(R) R L R L' R' 2L R L R' Lw'
11 HTM · 3 algs
Trapezoids: Trapezoid / Headlights
(R') Lw' R' Lw R' Lw B' Lw B' U R' U B' U Lw
14 HTM · 5 algs
Diamonds
Diamonds: Two Anticlockwise Diamonds
(R) Lw R L' R' Lw' L' R Lw' R' L R Lw L
13 HTM · 3 algs
Diamonds: Horizontal Diamonds
(R) U L' B L U' B R' B' U L' B' L U'
13 HTM · 4 algs
Diamonds: Three Anticlockwise Diamonds
L' R L' F' R L R L' R F L'
11 HTM · 3 algs
Diamonds: Vertical + Right Diamonds / Right Triangle Matching
(R') R L' U' L R' F' L F L' R U
11 HTM · 3 algs
Diamonds: Two Anticlockwise Diamonds / Cat Ears
(R) Lw R' Lw R' L R Lw' L' R Lw' R L' R' L
14 HTM · 3 algs
Diamonds: Horizontal Diamonds / Vertical Hourglasses
(R) L R' L' U B L' B' L U' R' L R' L'
13 HTM · 3 algs
Diamonds: Vertical + Left Diamonds / Right Triangle Matching
(R') F R L' U L U' R' L F' L'
10 HTM · 6 algs
Diamonds: Vertical + Right Diamonds / Left Triangle Matching
(R') F L F L' R U L' U' L R' F
11 HTM · 4 algs
Diamonds: Vertical + Left Diamonds / Left Triangle Matching
(R) L F L' R U L' U' L R' F'
10 HTM · 3 algs
Diamonds: Three Anticlockwise Diamonds / Cat Ears
L F' R' L R' L' R' F L R' L
11 HTM · 5 algs
Diamonds: Vertical Diamonds
(R) L' R L R' Lw R' Lw L R' L' R Lw' R Lw'
14 HTM · 3 algs
Diamonds: Vertical Diamonds / Vertical Hourglasses
(R) R' B L R' L' R L R F R L' R' L F' L' B'
16 HTM · 2 algs
Diamonds: Two Clockwise Diamonds
(R) R Lw' R' L R Lw L R' Lw R L' R' Lw' L'
14 HTM · 2 algs
Diamonds: Two Clockwise Diamonds / Cat Ears
(R) R Lw' R Lw' R L' R' Lw L R' Lw R' L R L'
15 HTM · 2 algs
Diamonds: Three Clockwise Diamonds
L R' L U R' L' R' L R' U' L
11 HTM · 4 algs
Diamonds: Three Clockwise Diamonds / Cat Ears
L' U R L' R L R U' L' R L'
11 HTM · 5 algs
Headlights
Headlights: Headlights / LF Diamond / Cat Ears
R L' R' U R' L R L' U' R B' R' B R L
15 HTM · 3 algs
Headlights: Headlights / LF Diamond
Ft Uw U F Uw' BL Uw BL' F' BL Uw' BL' U' Uo Do Uo Do Ft'
12 HTM · 5 algs
Headlights: Headlights / RB Diamond
(R) R Uw R U L' B L U' R' U B' U' Uw' Uo Do
13 HTM · 3 algs
Headlights: Headlights / RB Diamond / Cat Ears
(R) R' Uw R U' B' R B R' U L R' L' Uw' Uo Do
13 HTM · 3 algs
Headlights: Three Headlights / Left Edge Matching
Lw F' Lw R Lw' F Lw R' 2L R' L R' L' R' L
16 HTM · 5 algs
Headlights: Headlights / RF Diamond / Cat Ears
(R') L' R' B' R Lw R' B R B' Lw' B L
12 HTM · 3 algs
Headlights: Headlights / RF Diamond
(R') U' Uw' L' U R' U' B L B' U R Uw Do Uo
12 HTM · 4 algs
Headlights: Headlights / LB Diamond
R' L' B' Lw' B R' B' Lw B Lw' R Lw L
13 HTM · 3 algs
Headlights: Three Headlights / Right Edge Matching
U' L R L' R' U F' U' R' L R L' U F
14 HTM · 5 algs
Headlights: Headlights / LB Diamond / Cat Ears
R L' B' Lw B R' B' R Lw' R' B R L
13 HTM · 3 algs
Cat Ears and Chameleons
Cat Ears and Chameleons: Cat Ears
F' U' L U R U' L' U R' L' R' L R F
14 HTM · 2 algs
Cat Ears and Chameleons: One Chameleon
(R) F' R' L' R L R U' L U R' U' L' U F
14 HTM · 2 algs
Cat Ears and Chameleons: Three Cat Ears
B Uw B' Uw R U' B' U R Uw' B' U' Uw' R U B' Uo' Do'
16 HTM · 2 algs
Cat Ears and Chameleons: Three Chameleons
F L' F R' U R L' R' L' U R' U' L U' L' F
16 HTM · 2 algs
Source: Cubemuch, https://cubemuch.com/en/algs/fto/pl6x/, 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.