mina, 1 month ago (edited 1 month ago) We know a great deal about which kind of knots can be transformed into other ones, but many questions in knot theory remain unsolved. Strangely enough, these problems matter in areas as diverse as physics, cryptology, DNA and protein folding etc - a whole rabbit hole, but: We won't go down there. Let's go back to square 1: The doughnut (or bagel), which knot theorists call by the very cool name "unknot". So: What have we learned so far? 4/5
We know a great deal about which kind of knots can be transformed into other ones, but many questions in knot theory remain unsolved.
Strangely enough, these problems matter in areas as diverse as physics, cryptology, DNA and protein folding etc - a whole rabbit hole, but:
We won't go down there. Let's go back to square 1: The doughnut (or bagel), which knot theorists call by the very cool name "unknot".
So: What have we learned so far?
4/5