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In the following, bypassing dynamical systems tools, we propose a simplemeans of computing the box dimension of the graph of the classical Weierstrassfunction defined, for any real number~$x$, by~$ {\cal W}(x)=\displaystyle\sum_{n=0}^{+\infty} \lambda^n\,\cos \left ( 2\, \pi\,N_b^n\,x \right)  $, where~$\lambda$ and~$N_b$ are two real numbers such that~\mbox{$0<\lambda<1$},~\mbox{$ N_b\,\in\,\N$} and~$ \lambda\,N_b > 1 $, using a sequencea graphs that approximate the studied one.

Bypassing dynamical systems : A simple way to get the box-counting dimension of the graph of the Weierstrass function