A weird video I watched last evening (5 minutes) which shows a very, very inefficient way to give pi, but it is also completely mind blowing.
https://www.youtube.com/watch?v=HEfHFsfGXjs
A follow up video of around 15 minutes goes into the explanation on how pi falls out of this physical phenomenon.
https://www.youtube.com/watch?v=jsYwFizhncE