How to find "locally" geodesic paths in surfaces?

Not sure if this is relevant, but I played around a bit with a Kangaroo method that might be of use.
I haven’t tested whether the strips here are of a constant width, but their edge curves should be geodesic to the cone?

WrapRibbons_NB_v1.gh (29.8 KB)

More on this method here:

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