OLL parity, one paired edge flipped

Centres and the first three layers are solved. All U edges are paired, with exactly one paired edge flipped. This is a subset of OLL parity; corner orientation is free. Orient the last layer with one paired edge flipped.

27 cases · 881 algorithms

No proven optimum for this set: the page gives the length of the shortest algorithm offered and a lower bound.

Definition of the set: J Perm, Lars Vandenbergh's archive.

How to read this page

Each case is seen from above: the top face in the middle, the top layer's stickers on its sides, the front face at the bottom.
Colours of the puzzle in the application. Grey marks what the case does not look at.
Lengths: each move counts 1, an inner slice 2, a rotation 0. The "setup" presents the puzzle as drawn and does not count.
In each case, the best available optimal algorithm comes first, then the others by increasing ease score. When no optimal writing is available, all algorithms are ranked by this score (lower is easier).
"Play" starts from a position of the case and runs the algorithm to the set’s goal. Usually, the starting position is obtained by running the algorithm backwards from the solved puzzle. For a partial goal, the player may start from a representative position of the case in the application; the puzzle is not necessarily fully solved at the end.

Pi (L)

At least 7 moves

4 algorithms

First algorithm: Rw' U2 Rw' U2 Rw R U Rw2 R' U2 Rw' R' U R U Rw' U2 Rw2 U' Rw2

H (FB)

At least 7 moves

4 algorithms

First algorithm: Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' R2 D' R U2 R' D R U2 R

Pi (F)

At least 7 moves

2 algorithms

First algorithm: (U) z' U2 Lw' R2 x U' F2 U Lw' U2 2R' U2 Rw F' L2 F 2R2 U2 x' U' F2 U x U2 Lw' U2 z

Pi (B)

At least 7 moves

5 algorithms

First algorithm: (U) R U 2R U R' U' Rw2 R U2 Rw2 U Rw U2 Rw' U2 Rw U' Rw2 U2 Rw'

H (LR)

At least 7 moves

2 algorithms

First algorithm: (U) Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' R U R' U R U' R' U R U2 R'

Pi (R)

At least 7 moves

4 algorithms

First algorithm: (U') Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U R' U' R U' R' U2 R

Antisune (BL)

At least 7 moves

6 algorithms

First algorithm: Rw' U2 Rw' U2 Rw' U' R' Rw' U2 R2 U' Rw' U' Rw2 R' U' Rw' U Rw'

Sune (BL)

At least 7 moves

4 algorithms

First algorithm: F' L' U' L U F Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'

Sune (BR)

At least 7 moves

5 algorithms

First algorithm: (U') Rw U2 Rw U2 Rw U R Rw U2 R2 U Rw U Rw2 R U Rw U' Rw

Antisune (BR)

At least 7 moves

3 algorithms

First algorithm: (U) F R U R' U' F' Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'

U (F)

At least 7 moves

60 algorithms

First algorithm: Rw' U2 Rw U2 Rw U2 Rw2 F2 Rw' U2 Rw' U2 F2 Rw2 F2

T (F)

At least 7 moves

4 algorithms

First algorithm: R2 B R' Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R B' R2

Sune (FL)

At least 7 moves

4 algorithms

First algorithm: (U') Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' R U R' U R U2 R'

Antisune (FL)

At least 7 moves

5 algorithms

First algorithm: (U') y2 Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' F R U R' U' F'

U (R)

At least 7 moves

3 algorithms

First algorithm: U' B L Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 L' B'

T (R)

At least 7 moves

15 algorithms

First algorithm: U' B2 L2 Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 L2 B2

L (BR)

At least 7 moves

6 algorithms

First algorithm: (U2) U' B L2 Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 L2 B'

L (FL)

At least 7 moves

5 algorithms

First algorithm: (U2) L U L' Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 L U' L'

Sune (FR)

At least 7 moves

5 algorithms

First algorithm: (U2) y2 Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U2 F R U R' U' F'

Antisune (FR)

At least 7 moves

4 algorithms

First algorithm: (U2) L' U' L Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' F' L F L'

U (L)

At least 7 moves

4 algorithms

First algorithm: U B' R' Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R B

T (L)

At least 7 moves

11 algorithms

First algorithm: U B2 R2 Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R2 B2

U (B)

At least 7 moves

6 algorithms

First algorithm: 2L 3L Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 2L' 3L'

T (B)

At least 7 moves

3 algorithms

First algorithm: 3Rw' D R2 Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R2 D' 3Rw

L (FR)

At least 7 moves

5 algorithms

First algorithm: (U2) U R' U' R Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 R' U R

L (BL)

At least 7 moves

5 algorithms

First algorithm: (U2) U2 B' R2 Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R2 B

Solved

At least 7 moves

697 algorithms

First algorithm: R' Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R