OLL parity, three paired edges flipped

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

27 cases · 79 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: 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.

Case 1

At least 7 moves

5 algorithms

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

Case 2

At least 7 moves

1 algorithm

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

Case 3

At least 7 moves

1 algorithm

First algorithm: U Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U 3Rw U R' U R U2 3Rw'

Case 4

At least 7 moves

1 algorithm

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

Case 5

At least 7 moves

1 algorithm

First algorithm: (U) U Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U' 3Fw R U R' U' 3Fw'

Case 6

At least 7 moves

2 algorithms

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

Case 7

At least 7 moves

1 algorithm

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

Case 8

At least 7 moves

2 algorithms

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

Case 9

At least 7 moves

1 algorithm

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

Case 10

At least 7 moves

1 algorithm

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

Case 11

At least 7 moves

4 algorithms

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

Case 12

At least 7 moves

1 algorithm

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

Case 13

At least 7 moves

1 algorithm

First algorithm: (U') Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U 3Lw' U2 L U L' U 3Lw

Case 14

At least 7 moves

3 algorithms

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

Case 15

At least 7 moves

4 algorithms

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

Case 16

At least 7 moves

1 algorithm

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

Case 17

At least 7 moves

1 algorithm

First algorithm: (U2) Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U' 3Rw U2 R' U' R U' 3Rw'

Case 18

At least 7 moves

2 algorithms

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

Case 19

At least 7 moves

3 algorithms

First algorithm: Rw F U2 F' Rw U2 Rw U2 Rw U' L' U2 L F 3Lw' U' R U' x' U F Rw

Case 20

At least 7 moves

1 algorithm

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

Case 21

At least 7 moves

3 algorithms

First algorithm: (U) Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U' 3Lw' U' 3Lw L' U' L U 3Lw' U 3Lw

Case 22

At least 7 moves

1 algorithm

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

Case 23

At least 7 moves

2 algorithms

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

Case 24

At least 7 moves

3 algorithms

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

Case 25

At least 7 moves

1 algorithm

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

Case 26

At least 7 moves

1 algorithm

First algorithm: (U2) Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' U 3Fw R U R' U' R U R' U' 3Fw'

Case 27

At least 7 moves

31 algorithms

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