I don’t know if I’ve ever seen it investigated as a mathematical puzzle but there’s probably some interesting number stuff to be found in investigating the math

I don’t know if I’ve ever seen it investigated as a mathematical puzzle but there’s probably some interesting number stuff to be found in investigating the mathematics of an idealized swiss cheese risk model. If you take a series of unit squares and from each one remove a random circle (ah, the origin of every protracted probability argument among mathematicians: a random circle selected from which distribution?), then stack them up… after n squares, what is the expected hole size? Or how many squares do you need to stack to reduce the hole size to below a particular threshold? Circle intersection geometry is hard though. Probably easier to start with axis aligned square holes, which are what you get when you make your Swiss cheese out of milk from spherical cows.