Maybe slightly off-topic, here is a fantastic video which shows how a curious physical phenomenon can be solved through geometry:
So why do colliding blocks compute pi?
What's brilliant about it is how the physical laws of conservation of energy and momentum are used and translated into a geometric description of the problem using phase space.
Well worth 15 minutes of your time!
That was interesting! Thanks for sharing it!
WOOOOOOOOOOW, this is sooooooooooo cool . Now I love my PI necklace even more. (yes, I have math jewelry, do not ask :D )