Overlap a closed curve (like a belt) but retain shape?

Sorry I ask so many questions here.

I’m trying to take closed curves, find the flattest side, make that my seam, then extend and overlap inward without distorting the original shape too much. Much like a belt, except without the loosening/tightening bit.

What I have going is sort of working, but it’s not particularly accurate or scalable to dramatically different lengths. I’d also like to consider material rigidity, in this case, polycarbonate strips. I don’t know if that means bringing Kangaroo into it, or just better handling the division of points. I’m going to be fitting these inside of rigid shape so it’s important for tolerance sake not to loose my outside circumference.

I’d appreciate any advice.

cc overlap.gh (10.7 KB)