Creating seamless rotated background image

Question

I want to repeat a background image that is rotated. Trying to make it seamless is destroying my soul.

Starting with something simple, consider each image is laid out li

Answer 1

The trick is to crop the pattern at points where the section being cut off matches the section remaining on the opposite side of the crop area (see example cuts in blue). It'll probably take some trial and error to get it right but you should be able to do it easily enough.