In this presentation, we'll start by discussing Weierstrass functions, which are the most famous example of continuous nowhere differentiable functions, initially introduced by Weierstrass. Following that, we'll introduce the concept of fractal dimension and illustrate its calculation using the Cantor set. Then, we'll briefly review the historical context. Next, we'll provide a simple proof of the box dimension of its graph, and finally, we'll introduce my result joint with Professor Weixiao Shen.