Metal strips ribbon wrap?

Hello,
how can i make a ribbon ball, keeping constant ribbon width and also ensuring
it is originally flat/straight. meaning the the real life material strips (cut straight) can bend to form, or in another word, the flat pattern of the ribbon is a straight ribbon.

I’m thinking to make the curve paths in rhino and linking GH to sweep.
but i cant seem to figure how to make the sweep out of a constant that abids by “realworld” bending strip.

red-ribbon-ball-vector !
3804953_l|500x500