I’m not sure where to start with Grasshopper to achieve this. I’ve tried some options, but none of them follow the spherical geometry. How can I do it?
Not sure what the strips would be made of in your case. If they were some kind of laminated wood, you might want to create a number of perpendicular frames along each curve and align these with local normals. Then sweep a rectangular section along the curve.
I replaced some of the components in your definition but if you want nice strips, you’ll have to align the planes. That’s usually done with the Align Plane component and not the one you used…