A lot of things seem obvious until someone questions your assumptions. Are these closed forms on the Euclidean plane? Are we using Cartesian coordinates? Can I use the 3rd dimension? Can I use 27 dimensions? Can I (ab)use infinities? Is the embedded space well defined, and can I poke a hole in the embedded space?
What if the parts don’t self-intersect, but they’re so close that when printed as physical parts the materials fuse so that for practical purposes they do intersect because this isn’t just an abstract problem but one with real-world tolerances and consequences?
until someone questions your assumptions
Oh, come on. This is math. This is the one place in the universe where all of our assumptions are declared at the outset and questioning them makes about as much sense as questioning “would this science experiment still work in a universe where gravity went the wrong way”. Please just let us have this?
