LBT

All centres and two bottom triples are solved. The remaining bottom triple has its corner at the F-BR-D vertex in CIF and its triangles on F and BR. The last three upper triples are free. Each tracked triangle has a same-colour twin; U and Uw can set up the case. Solve the last bottom triple in the Bencisco method.

95 cases · 275 algorithms

Proven optimum for 13 cases out of 95; for the others, the page gives the length of the shortest algorithm offered and a bound.

12 writings are played from a representative position of the case. They reach the goal shown in the dialog without necessarily solving the whole puzzle.

Definition of the set: Zachary Wegner, Malte Ihlefeld.

How to read this page

Each case is drawn on a flat net of the puzzle’s faces. Grey marks the stickers that the case does not constrain.
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.

IS10

At least 6 moves

1 algorithm

First algorithm: (U Uw') U L' R' L U L' R L R' U' R Uw' Uw'

IS12

At least 6 moves

1 algorithm

First algorithm: (U Uw') L' R' L R' U L B' L' B U' R' Uw' Uw'

IS14

At least 6 moves

3 algorithms

First algorithm: F' BL' R' D' R D BL F

IS2

Optimum 6 moves

7 algorithms

First algorithm: 2R' Fw L' Fw' Rw

IS16

At least 6 moves

2 algorithms

First algorithm: BR' R L' R' BR R' L R

IS4

At least 6 moves

2 algorithms

First algorithm: BR' L B' L' B L' R L R' BR

No. 25

At least 6 moves

1 algorithm

First algorithm: U' R' U R L' R' L U' L' R L

IS27

At least 6 moves

2 algorithms

First algorithm: L' R' L R' U R' L' R L U' R'

IS26

At least 6 moves

3 algorithms

First algorithm: L' R' F' R' L R L' F L R

IS28

At least 6 moves

2 algorithms

First algorithm: U' R' L' R F' R L R' L' F L

IS9

At least 6 moves

2 algorithms

First algorithm: (U) R L' R L U' B' L B L' U R

IS11

At least 6 moves

2 algorithms

First algorithm: (U) Uw U' R U L' R' L R U' R L' R L Uw'

IS1

Optimum 6 moves

2 algorithms

First algorithm: (U) 2F' R' Fw L F'

IS13

At least 6 moves

5 algorithms

First algorithm: (U) Uv' F BR L D L' D' BR' F' Uv

IS3

At least 6 moves

2 algorithms

First algorithm: (U) F L' R L R' L B' L' B F'

IS15

At least 6 moves

1 algorithm

First algorithm: (U) R' L' R L U' R' L' R L

IS18

At least 6 moves

4 algorithms

First algorithm: Uv' R L R' U' L B' L' B U L' Uv

IS6

At least 6 moves

10 algorithms

First algorithm: Uv' Uw BL' L R L' R' BL Uw' Uv

IS20

At least 6 moves

3 algorithms

First algorithm: Uv' R' D' R U' R D R' Uv

IS8

At least 6 moves

5 algorithms

First algorithm: Uv' BLw U R' B R B' U' B BLw' L' BLv BLv' Uv

IS29

At least 6 moves

2 algorithms

First algorithm: R BR' B' BR R L' R' L BR' B BR R'

IS31

At least 6 moves

3 algorithms

First algorithm: L' F' L' B' L' B L' F R' L R

IS30

At least 6 moves

2 algorithms

First algorithm: L' R' L R U' F L B' L' F' B

IS32

At least 6 moves

3 algorithms

First algorithm: Uw' R U R' B R' B' L' R' L U' R' Uw

IS5

Optimum 6 moves

6 algorithms

First algorithm: 2F' R' Fw L F'

IS17

At least 6 moves

2 algorithms

First algorithm: (Uw') L' R' L U R' B R B' U' R Uw' Uw'

IS7

At least 6 moves

4 algorithms

First algorithm: (Uw') BRw' U' L B' L' B U B' BRw R BRv' BRv Uw' Uw'

IS19

At least 6 moves

2 algorithms

First algorithm: (Uw') L D L' U L' D' L Uw' Uw'

IS22

At least 6 moves

2 algorithms

First algorithm: L F' R' L U' L' U R L' F

IS23

At least 6 moves

2 algorithms

First algorithm: BR' L B' L' B U B' L B L' U' BR

IS24

At least 6 moves

3 algorithms

First algorithm: L' R' L R' B R' B'

OW2

At least 6 moves

4 algorithms

First algorithm: Uv' U L U R L' R' L U' L' Uv

OM2

Optimum 4 moves

7 algorithms

First algorithm: R L R' L'

AT6

Optimum 4 moves

6 algorithms

First algorithm: R L R' L'

OS2

Optimum 6 moves

6 algorithms

First algorithm: (U) F' R L' R' L F

AT2

Optimum 4 moves

4 algorithms

First algorithm: R L R' L'

OS3

At least 6 moves

1 algorithm

First algorithm: (U') R' U' L' R L R' U L' R L

OM3

At least 6 moves

2 algorithms

First algorithm: (U') Uw R U' B' L B L' U R' Uw'

AT8

At least 6 moves

1 algorithm

First algorithm: (U') U L R U' B' L B L' U R' L'

OW3

At least 6 moves

1 algorithm

First algorithm: (U') U R U B' L B L' U' R'

AT4

At least 6 moves

3 algorithms

First algorithm: (U') L R U R L' R' L U' R' L'

AT13

At least 6 moves

2 algorithms

First algorithm: (U') BR' U' BR L' R L R' BR' U BR

AT16

At least 6 moves

2 algorithms

First algorithm: (U') U R U R' L B' L' B' R B' U' R'

OW8

At least 6 moves

5 algorithms

First algorithm: Uv' R L' R' U' B R' B' R U L Uv

OS8

At least 6 moves

2 algorithms

First algorithm: Uw' BR' U B' L B L' U' BR Uw

OM5

At least 6 moves

1 algorithm

First algorithm: (U') L B' L' B U L' R' L R

OM6

At least 6 moves

3 algorithms

First algorithm: Uv' R L' R' L U' L R L' R' Uv

OS5

Optimum 6 moves

7 algorithms

First algorithm: Rw L R' L' 2R'

OW5

At least 6 moves

1 algorithm

First algorithm: (Uw') R' U R L' R' L U' R Uw' Uw'

OW10

At least 6 moves

1 algorithm

First algorithm: L R U' L' R L R' U R' L'

OM10

At least 6 moves

4 algorithms

First algorithm: (U Uw') Uv' U' L' U' R L' R' L U L Uv Uw' Uw'

OS10

At least 6 moves

1 algorithm

First algorithm: U BR' U L B' L' B U' BR

AT11

At least 6 moves

1 algorithm

First algorithm: (U') F' BR' F' B R' B' R F BR F

OS15

At least 6 moves

3 algorithms

First algorithm: (U') Uv' U BL U L B' L' B U' BL' Uv

OM15

At least 6 moves

3 algorithms

First algorithm: (U') Uv' R L F R' L' R L F' R' L' Uv

OW15

At least 6 moves

3 algorithms

First algorithm: (U') Uv' U L U L R L' R' U' L' Uv

AT10

At least 6 moves

2 algorithms

First algorithm: (U') R B U' R U B R' BR R' BR' B

OW14

At least 6 moves

1 algorithm

First algorithm: U' R L' F' R' F R' L U R

OM14

At least 6 moves

1 algorithm

First algorithm: (U Uw') U' R L' R' L U L' R' L R Uw' Uw'

OS14

At least 6 moves

1 algorithm

First algorithm: U' BR' U' L' R L R' U BR

OS11

At least 6 moves

4 algorithms

First algorithm: (U') Uv' U' L' U' L R L' R' U L Uv

OM11

At least 6 moves

3 algorithms

First algorithm: (U') Uv' Uw U L' U' L' R L R' U L Uw' Uv

OW11

At least 6 moves

3 algorithms

First algorithm: (U') Uv' U L U L' R L R' U' L' Uv

OW4

At least 6 moves

1 algorithm

First algorithm: U' R' U' L B' L' B U R

OM4

At least 6 moves

2 algorithms

First algorithm: (U Uw') Uw' R' U L B' L' B U' R Uw Uw' Uw'

AT7

At least 6 moves

3 algorithms

First algorithm: Uv' R' L' U' L' R L R' U L R Uv

OS4

At least 6 moves

2 algorithms

First algorithm: Uv' L U R L' R' L U' R L' R' Uv

AT3

At least 6 moves

1 algorithm

First algorithm: (U') R L' R L U' L B' L' B U R

OS1

Optimum 5 moves

6 algorithms

First algorithm: R' Uw' L' Uw R'

OM1

Optimum 4 moves

8 algorithms

First algorithm: (U') Fw' R' Fw L

AT5

Optimum 4 moves

3 algorithms

First algorithm: (U') Fw' R' Fw L

OW1

Optimum 5 moves

4 algorithms

First algorithm: R' Uw' L' Uw R'

AT1

Optimum 4 moves

9 algorithms

First algorithm: (U') Fw' R' Fw L

AT15

At least 6 moves

4 algorithms

First algorithm: BR' U BR L' R L R' BR' U' BR

AT14

At least 6 moves

2 algorithms

First algorithm: (U') R' U' L B' L R' L R B U R

OW6

At least 6 moves

4 algorithms

First algorithm: Uv' L U' L' R L R' U L' Uv

OS6

At least 6 moves

6 algorithms

First algorithm: R L' R' BR' R L R' BR

OM7

At least 6 moves

4 algorithms

First algorithm: (U') Uv' U R L' R' L U' L' B' L B Uv

OM8

At least 6 moves

1 algorithm

First algorithm: L' R L U R L' R' L U' R'

OS7

At least 6 moves

4 algorithms

First algorithm: (Uw') Uw F U L B' L' B U' F' Uw' Uw' Uw'

OW7

At least 6 moves

3 algorithms

First algorithm: (U') Uw U Uv' L U' R L' R' L U L' Uv Uw'

OW12

At least 6 moves

1 algorithm

First algorithm: U R U L B' L' B U' R'

OM12

At least 6 moves

2 algorithms

First algorithm: (U Uw') Uw' U' R U R L' R' L U' R' Uw Uw' Uw'

OS12

At least 6 moves

1 algorithm

First algorithm: U R U R' L' R L U' R'

AT9

At least 6 moves

3 algorithms

First algorithm: (U') Uv' R U F R' L R L' F' U' R' Uv

OS13

At least 6 moves

3 algorithms

First algorithm: (U') Uv' U BL U R L' R' L U' BL' Uv

OM13

At least 6 moves

1 algorithm

First algorithm: (U') U R L' R' L U' R' L' R L

OW13

At least 6 moves

3 algorithms

First algorithm: (U') Uv' U L' R F L F' L R' U' L' Uv

AT12

At least 6 moves

3 algorithms

First algorithm: (U') Uv' BL L' R L BL' R' U' L R L' R' Uv

OW16

At least 6 moves

1 algorithm

First algorithm: U' R' U' R' L' R L U R

OM16

At least 6 moves

1 algorithm

First algorithm: (U Uw') L' R' F' L R L' R' F L R Uw' Uw'

OS16

At least 6 moves

1 algorithm

First algorithm: U BR' U' L B' L' B U BR

OS9

At least 6 moves

1 algorithm

First algorithm: (U') U F U' R L' R' L U F'

OM9

At least 6 moves

2 algorithms

First algorithm: (U') U R U L' R L R' U' R'

OW9

At least 6 moves

5 algorithms

First algorithm: (U') Uv' B' L B U L' R L R' U' L' Uv