In literature, there are many proofs of the well-known result $$\zeta(2) = \frac{\pi^2}{6}.$$

However, as far as I know, they do not offer an *intuitive* explanation of why this result *should* be true.

So my question is:

What is the key intuition -- that is, the picture -- behind the result? Are there any

visualof anywayintuitiveproofs of the statement?

young man, you don't understand (things) in mathematics, you get used to (them). $\endgroup$ – Włodzimierz Holsztyński Oct 22 '14 at 1:45