Lin
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The Lin method is a speedsolving/novelty method for the Square1 puzzle.
The steps
 1. Turn the puzzle into a cubic shape.
 2. Build the first two blocks.
 2a. Build a 1x1x3 block on the bottom layer of the puzzle, either the left or the right side.
 2b. Build a second block in the bottom layer, opposite the first one.
 3. CP + DF (Corner permutation + DF edge)
 3a. Insert one of the two remaining D edges.
 3b. Insert the last one in DF (from UL) while simultaneously permuting the top layer corners. This step requires 6 algs, specified below. A two step approach, first inserting the edge and then permuting the corners, is possible. This approach requires around 2 algs, which are basic Vandenbergh algs.
 4. EPLL (excluding corners)
CP + DF algs
Diagonal swap: (1,0) / (4,3) / (3,0) / (3,3) / (3,0) / (2,3) /
Adjacent swap L: (1,0) / (3,0) / (3,3) / (1,2) / (1,2) / (3,0) /
Adjacent swap R: (1,0) / (2,1) / (0,3) / (3,0) / (3,0) / (2,4) /
Adjacent swap F: (0,1) / (4,2) / (3,0) / (0,3) / (0,3) / (1,2) /
Adjacent swap B: (4,3) / (3,0) / (1,2) / (1,2) / (3,3) / (3,0) /