Let me explain: a friend of a friend is opening a new pizza restaurant called "Pi", and he's looking to decorate his walls with pi-related material: formulas, equations, theorems w/ proof, diagrams, etc. Any suggestion is welcome, so long as it meets these two criteria:
- It has to be mathematically correct.
- It has to be either a representation of pi itself or lead directly to a representation of pi.
So for example, this is okay: $\sum_{n=1}^{\infty} \frac{1}{n^2}$ (because it equals $\frac{\pi^2}{6}$)
But this is not: $\frac{22}{7}$.
How many can we come up with?