3 ms·
> Remarkably there’s really just one way to tie them together I would rather assume (but knot theorists shall correct me if I'm wrong) that there exist two way
by aleph_minus_one 1y ago
> Remarkably there’s really just one way to tie them together
I would rather assume (but knot theorists shall correct me if I'm wrong) that there exist two ways of tying them together:
Cut knots K, L at some point; denote the loose ends by K1, K2, L1, L2.
- Option 1: connect K1 <-> L1, K2 <-> L2
- Option 2: connect K1 <-> L2, K2 <-> L1
- cottonseed 1y agoThose are the same. To see that, just flip over L before performing the connect sum.
- cluckindan 1y agoIf they are the same, the mirrored double-chiral knot from the article would have identical properties even if one of the knots wasn’t mirrored.