No. 54
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
OLL with parity
After reduction, an odd number of top edges are flipped (OLL parity); one algorithm orients the whole last layer and fixes the parity. 54 cases: 27 with one flipped edge, 27 with three.
54 cases · 892 algorithms
No proven optimum for this set: the page gives the shortest known length 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 optimal algorithm comes first, then the others from the easiest to the hardest to execute (ease score, lower is easier).
- "Play" starts from the case (the inverse of the algorithm applied to the solved cube) and runs the algorithm on the 3D cube.
No. 49
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'
No. 51
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'
No. 52
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'
No. 50
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'
No. 53
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
No. 46
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'
No. 43
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
No. 45
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
No. 44
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'
No. 29
At least 7 moves
2 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
No. 37
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'
No. 47
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
No. 42
At least 7 moves
2 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'
No. 32
At least 7 moves
2 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
No. 39
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'
No. 48
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'
No. 41
At least 7 moves
1 algorithm
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'
No. 31
At least 7 moves
2 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
No. 40
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'
No. 27
At least 7 moves
2 algorithms
First algorithm: Rw' U2 Rw' U2 Rw R U Rw2 R' U2 Rw' R' U R U Rw' U2 Rw2 U' Rw2
No. 22
At least 7 moves
1 algorithm
First algorithm: U R U R' U2 R U2 R' U2 Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' R U R'
No. 25
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
No. 24
At least 7 moves
3 algorithms
First algorithm: (U) R U 2R U R' U' Rw2 R U2 Rw2 U Rw U2 Rw' U2 Rw U' Rw2 U2 Rw'
No. 23
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' R U R' U R U' R' U R U2 R'
No. 26
At least 7 moves
2 algorithms
First algorithm: (U') Rw' U' Rw' U' Rw U Rw U2 Rw2 U2 Rw U2 Rw U Rw' U Rw U Rw2 U2 Rw' U2 Rw U2 Rw'
No. 19
At least 7 moves
4 algorithms
First algorithm: Rw' U2 Rw' U2 Rw' U' R' Rw' U2 R2 U' Rw' U' Rw2 R' U' Rw' U Rw'
No. 16
At least 7 moves
2 algorithms
First algorithm: F U R U' R' F' Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'
No. 18
At least 7 moves
3 algorithms
First algorithm: (U') Rw U2 Rw U2 Rw U R Rw U2 R2 U Rw U Rw2 R U Rw U' Rw
No. 17
At least 7 moves
2 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'
No. 02
At least 7 moves
59 algorithms
First algorithm: Rw' U2 Rw U2 Rw U2 Rw2 F2 Rw' U2 Rw' U2 F2 Rw2 F2
No. 10
At least 7 moves
2 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
No. 35
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' U' 3Lw L' U' L U 3Lw' U 3Lw
No. 33
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
No. 34
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'
No. 36
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' U2 R U R' U R U' R' U' R' F R F'
No. 30
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'
No. 38
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'
No. 14
At least 7 moves
2 algorithms
First algorithm: (U') R U R' Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw' F R' F' R
No. 21
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' 3Lw' U' L U' L' U2 3Lw
No. 04
At least 7 moves
2 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'
No. 11
At least 7 moves
10 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
No. 08
At least 7 moves
5 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'
No. 06
At least 7 moves
2 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'
No. 20
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' 3Rw U R' U R U2 3Rw'
No. 15
At least 7 moves
2 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'
No. 03
At least 7 moves
3 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
No. 12
At least 7 moves
6 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
No. 05
At least 7 moves
5 algorithms
First algorithm: 2L 3L Rw2 B2 U2 Lw U2 Rw' U2 Rw U2 F2 Rw F2 Lw' B2 Rw2 2L' 3L'
No. 13
At least 7 moves
2 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
No. 07
At least 7 moves
4 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
No. 09
At least 7 moves
4 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
No. 28
At least 7 moves
30 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
No. 01
At least 7 moves
693 algorithms
First algorithm: R' Rw2 B2 Rw' U2 Rw' U2 x' U2 Rw' U2 Rw U2 Rw' U2 Rw2 U2 x U2 R
No case matches these filters.