Aloha @Birk_Binnard, thanks for adding some refinements to the challenge.
I grabbed and adapted this bit from last month, using only surfaces, not closed breps. Pairs of the pot with each oriented spout . Some are reversed, most look correct. But I had to use ‘Reparameterize’ in one test case and not use it it another…?
variable_fillet_2019Dec6b.gh (498.6 KB)
variable_fillet_2019Dec6bb.gh (499.1 KB) (VERY SLOW!! ~2 mins.)
W.I.P.