Mind-blowing mathematics experiments We've all heard of some mind-blowing phenomena involving the sciences, such as the double-slit experiment. I was wondering if there are similair experiments or phenomena which seem very counter-intuitive but can be explained using mathematics? I mean things such as the Monty Hall problem. I know it is not exactly an experiment or phenomenon (you could say a thought-experiment), but things along the line of this (so with connections to real life). I have stumbled across this interesting question, and this are the type of phenomena I have in mind. This question however only discusses differential geometry. 

I would recommend checking out the list of Wiki experimental mathematics applications and examples as it shows a nice list.
There is even a Journal of Experimental Mathematics.
I would also look at the controversial Wiki computer-aided proofs, including a university that will sell you a proof with your name on it!
Lastly, I would say that field of Computational Science is a direct blending of mathematics with the typical science related fields to solve problems.
Regards 
