in order to cleanse this board of brainlets and pop sci faggots, everyone post your favorite non-trivial formula for pi.
i'll start:
[math]\pi = \left[\frac{2\sqrt{2}}{9801}\sum_{k = 0}^{\infty}\frac{(4k)!(1103 + 26390k)}{(k!)^4396^{4k}}\right]^{-1}[/math]
This one's cool because its pretty obscure, and you only have to evaluate 2 (two) terms to get 16 (sixteen) digits of accuracy
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[math] \pi = \frac{ \tau }{ 2 }[/math]
[math] \pi = 3 [/math]
Circumference over (2 times radius).
Much more elegant and non autistic unlike your formula.
You are small time.
π≈ 3.1
I have a question.
What's the proof that each of these actually amount to Pi? Who's to say that every digit is identical and spot on except for the 500^2'th digit?
22/7
[eqn]\pi = \frac{1}{i} \log\left( 12 \cdot \sum_{n=0}^\infty n\right)[/eqn]
4
Is that ramanujan's