How do you twist or spiral a flat (as opposed to tube) closed polysurface?

Ideally the piece below would wrap around a solid as a ribbon-like form. Please advise. I’ve tried various combinations of sweeps and spirals and twists without success.twist:spiral.3dm (3.6 MB)

Hi there,

Yes, partially as in the photo. Thank you, I will give that a try.

helix2.3dm (3.4 MB)
So I thought your suggestion made sense but had unfortunate results when I attempted. Could you break it down a bit more for the twist around part of the curve?

As in a step by step approach to get the result that you got.

Thanks so much, that worked!

Now to complicate things, is there a way to flow objects along the closed polysurface created by the helix and then sweep1? Been trying with arraysrf but am having trouble.