Post #2595379
2025-12-08 10:02 UTC
@andrewt@mathstodon.xyz can't arbitrary links be made relatively trivially? e.g. by threading one string into a tangled mess, crossing under the partner, and then exiting all the way back out without crossing under anyone else. repeat indefinitely.
I would intuit that there is no polycule that is "mathematically impossible" to represent here, and it's purely a skill issue on the jeweler's end. maybe, with some given size, material, and budget constraints, then certain configurations might be physically infeasible. but certainly not mathematically impossible.
Replies (2)
-
@MarkAssPandi@shrimpnet.gej.pet 2025-12-08 10:06
@sodiboo@gaysex.cloud @andrewt@mathstodon.xyz me when my polycule is represented by Penrose triangle
-
@andrewt@mathstodon.xyz 2025-12-08 10:41
@sodiboo@gaysex.cloud yeah, if you allow arbitrarily shaped links. I was assuming they were all rigid circles with some width, and I suspect without proof there are graphs that don't work with that restriction Pretty sure you can't make the borromean rings that way, if your polycule is three people dating in a triad which would fall apart if any one of them left