Start with paper squares of the same size, and randomly draw intersecting lines. It may help to also number the reassembly order. I also draw on some lines to assist with getting the seams at different angles.
I cut the block apart along the lines, and then the fun begins!!!
Using the angle lines as a guide, place the first strip. Sometimes I start in the centre with white, or from an edge with colour. As long as the sides are patterned, it makes zero difference what happens between the lines!
Keep laying strips till the paper is covered. Make sure the seam allowance is consistent throughout. I used 5mm, but I also cut my white strips a bit narrow, but whatever works for you is fine!
Repeat the steps with all pieces until you end up with something like this:
You can see how some blocks can be quite busy, and others not so much. I think it works quite well.
** Update**
I had planned to finish this before February, but the weather has been so hot that the thought of having the iron on with the air conditioning seemed counter-productive. Hopefully we will get a break in the next few weeks, and I can finally put away the Christmas prints!! For now........