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. 
This step is supposed to be intuitive. Let these algorithms serve as a tool, not a tutorial.Sorry in advance for any errors. If you find one, please let me know. (This table was made without a skewb in hand.)
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'
 |  |