Welder's Mask Algorithms


Here you'll find algorithms for all 81 of the Welder's Mask cases. Each of the solutions to the cases is 2-gen, i.e. the only twists used are F moves and R moves. Each case can be solved optimally in at most 6 twists.

How to Find Your Case

Finding your case is easier than it seems. Each case is identified by four characters.

First character

Permutation of the UFR corner
Second character

Permutation of the UBR corner
Third character

Orientation of the UFR corner
Fourth character

Orientation of the UBR corner

All in all, the combinations should read like so: AA11, CA23, BB31, etc.

Below, there are nine tables, each with a subset of cases pertaining to piece permutation. The columns 1, 2, and 3 represent the third character, and the rows 1, 2, and 3 represent the fourth character.

AA
1 2 3
1
Solved!

R F R' F'

F R F' R'
2
R' F' R F

F R' F' R

F' R F' R F' R
3
F' R' F R

F R' F R' F R'

R' F R F'
AB
1 2 3
1
R F' R F

R' F R' F' R

F R F' R
2
R' F' R' F R

R F R' F R' F

R F R F'
3
R'

F R' F'

R' F R F' R'
AC
1 2 3
1
R F' R' F R

F R' F R' F

F R F'
2
R

R' F R' F'

R F R F' R'
3
F' R F

R F R' F' R

R' F' R F' R F'
BA
1 2 3
1
F' R F R' F'

R F' R'

F'
2
R' F' R

R F' R F' R F

F' R' F' R F
3
R' F R F

F' R' F R F'

F R' F R
BB
1 2 3
1
R' F' R' F' R F

R F' R

F' R F' R F
2
R' F R' F R

R F R F

F R F R
3
R' F'

R' F' R F R' F'

F' R'
BC
1 2 3
1
F' R F R' F' R

R F R' F R

F R F
2
R' F' R'

R F'

F' R F' R' F R
3
F' R' F R' F'

F' R F R F' R'

F' R
CA
1 2 3
1
F' R F' R'

F

F R F R' F'
2
R F' R F' R

F R' F' R F

F' R' F' R
3
F R' F R F'

R' F R

F' R' F R' F R'
CB
1 2 3
1
F' R F' R

F R F' R F

R' F' R' F' R
2
F' R F R F

R F R

F' R' F R' F R
3
R' F' R F' R'

F R'

F' R' F'
CC
1 2 3
1
F R F R F' R'

F R

F R' F R' F'
2
R F' R F' R'

R F

R' F' R' F'
3
F' R F'

F R F' R' F R

F' R' F' R'