All of these work with both wide (Rw or Lw) and inner turns (r/2R or l/2L). I recommend checking out what both does on the cube, as wide turns can effect pieces you might not want if you are executing these during the 3x3 phase. Thus I put both versions in my examples.
Edge (OLL) Parity
| Algorithm |
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |
| Move count |
15 HTM, 15 STM
|
| Setup |
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |
| Algorithm |
Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 |
| Move count |
15 HTM, 15 STM
|
| Setup |
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 |
Double edge parity - Wedges match center
Easy to remember, because the wedges are the same color on top as the center opposite.
| Algorithm |
M U' R' U R' F R F' M' |
| Move count |
11 HTM, 9 STM
|
| Setup |
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 U2 r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2 U2 |
PLL parity
Same as a simple 4x4 pll parity
| Algorithm |
r2 F2 U2 r2 U2 F2 r2 |
| Move count |
7 HTM, 7 STM
|
| Setup |
r2 F2 U2 r2 U2 F2 r2 |
| Algorithm |
Rw2 F2 U2 Rw2 U2 F2 Rw2 |
| Move count |
7 HTM, 7 STM
|
| Setup |
r2 F2 U2 r2 U2 F2 r2 |
Case 1 - Right
| Algorithm |
r' U' R' U R' F R F' r |
| Move count |
9 HTM, 9 STM
|
| Setup |
r' U' R' U R' F R F' r R |
| Algorithm |
Rw' U' R' U R' F R F' Rw |
| Move count |
9 HTM, 9 STM
|
| Setup |
r' U' R' U R' F R F' r R |
Case 1 - Left
| Algorithm |
l U' R' U R' F R F' l' |
| Move count |
9 HTM, 9 STM
|
| Setup |
l U' R' U R' F R F' l' R |
| Algorithm |
Lw U' R' U R' F R F' Lw' |
| Move count |
9 HTM, 9 STM
|
| Setup |
l U' R' U R' F R F' l' R |
Case 2
| Algorithm |
r U2 r U2' x U2 r U2' x' l' U2 l U2' r2 |
| Move count |
12 HTM, 12 STM
|
| Setup |
r U2 r U2' x U2 r U2' x' l' U2 l U2' r2 |
| Algorithm |
Rw U2 Rw U2' x U2 Rw U2' 3Rw' U2 Lw U2' Rw2 |
| Move count |
12 HTM, 12 STM
|
| Setup |
r U2 r U2' x U2 r U2' x' l' U2 l U2' r2 |
Case 3 - Back start
Bring it away from the pair on the right, then opposite after r2.
| Algorithm |
r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' |
| Move count |
13 HTM, 13 STM
|
| Setup |
r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r |
| Algorithm |
Rw' U2 Rw2 U2 Rw U2 Rw' U2 Rw U2 Rw2 U2 Rw' |
| Move count |
13 HTM, 13 STM
|
| Setup |
r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r |
Case 3 - Front start
Bring it away from the pair on the right, then opposite after r2.
| Algorithm |
r U2 r2 U2 r' U2 r U2 r' U2 r2 U2 r |
| Move count |
13 HTM, 13 STM
|
| Setup |
r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' |
| Algorithm |
Rw U2 Rw2 U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 Rw |
| Move count |
13 HTM, 13 STM
|
| Setup |
r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' |
Case 4 - Wedges don't match center
| Algorithm |
r2 B2 r' U2 r' U2 x' U2 r' U2 r U2 r' U2 r2 U2 |
| Move count |
15 HTM, 15 STM
|
| Setup |
U2 r2 B2 r' U2 r' U2 x' U2 r' U2 r U2 r' U2 r2 U2 x U2 |
| Algorithm |
Rw2 B2 Rw' U2 Rw' U2' x' U2 Rw' U2' Rw U2 Rw' U2' Rw2 U2 x |
| Move count |
15 HTM, 15 STM
|
| Setup |
U2 r2 B2 r' U2 r' U2 x' U2 r' U2 r U2 r' U2 r2 U2 x U2 |