Originally Posted by Sierra
I would think that if you pin each square firmly in 3 or 4 places before cutting there would be no reason for them to shift and you could sew them together with much less problem than the regular (or "old") way of cutting all the pieces seperately and THEN putting them together and THEN sewing them and THAN cutting them. Sounds good to me.
I was wondering about the shifting as well. I have the accuquilt go die for the rag and have cut and never had it shift so not sure why it shifted for the OP.
I have used cotton fabric up to 6 layers and cut with it and no problem with material shifting.