[smusamashah]

Knots are shared a lot here. There are sites listing hundreds of them each with its own strengths and weaknesses and use cases. But is there any science/math to them? For example, if I want to have not with specific set of features, is there something like an algorithm to build that knot from scratch?

[stvltvs]

The math of knots is more rudimentary than what you're asking for but still fascinating!

https://m.youtube.com/watch?v=8DBhTXM_Br4

[jaxn]

Knots end up being the weakest part of the line. Whenever possible I prefer splices when heavy loads are involved.