Grasshopper

algorithmic modeling for Rhino

objective: cut the scroll pattern out of the ring?

Is it possible to "Boolean difference" these 2 surfaces, using GH?

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A bit better but not yet good (tolerance in rhino set to 0.001)

Thanks Laurent: I think the rest of the missing scroll parts has to due with rhino's "Planer Curves" command. I was unable to convert all the .eps parts into a single planer surface. :(

regardless, if I understand your solution correctly, you made the scroll a little thicker so it actually intersected with the ring, before applying the Boolean difference.

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