Comment by grvbck

Yes, but 1:√2 keeps the ratio even when you rotate the screen vertically. A folded 1:1 screen becomes 2:1 when "unfolded" and the area doubles, so you can go from showing one 1:1 window to two 1:1 windows side by side. But when rotated to a vertical orientation, you can't just scale that 1:1 window to double its size. With 1:√2 you can.