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 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.
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.