Given a piece of paper of thickness or height $h$ and length $l$, how often can you roll the piece around itself, forming a tight roll in the length direction?
I would use the assumption that the first revolution is of radius $a$ and that there is no gaps between the paper when rolled tightly. But I’m not sure what to do with that and if there is a more elegant assumptions to make. Also I don’t really know how spirals work mathematically.
I used to do these rolls as a kid from leafs and now I do them with bottle etiquettes. I would love to see some of your thoughts on this completely arbitrary math problem!