[krxci]

Interesting! This reminds me of Knot Theory which is a branch of Topology within Mathematics. I don't personally crochet but it appears that indeed the knot theory is applicable for crochet as well. Please correct me if I'm wrong.

Always amazed at how mathematics' various specialties relate to everyday activities in sometimes very subtle ways.

As a tangent -- In studying numerical analysis, I was tested with a question of a logistic model applied to rabbit populations (of all things). You know, the one that generates bifurcation diagrams and is closely associated with chaos theory. Anyway, it was just a reminder in the moment about how such seemingly familiar phenomena can be explained by these seemingly obscure mathematical models (such as numerical differentiation.)

[James_K]

Knot theory is mostly inapplicable to crochet. The nature of how a crochet is made, by curling a single unbroken chain around itself, means almost all crochet is equivalent to the unknot. You can see this in the way crochet unravels all the way if you pull on the end of the thread.

[KineticLensman]

> You can see this in the way crochet unravels all the way if you pull on the end of the thread.

I decided not to try this out on the crochet cardigan my wife is making for me at the moment