Before delving into the primary focus of the upcoming chapter on multifractal structures, it is essential to examine a spectrum of fractals to establish a solid foundational understanding. It is crucial to emphasize the intrinsic stochasticity in the fractal structures of random-walk trajectories, as this significantly influences and defines their fractal dimensions. Without structural noise, deterministic fractals serve merely as preliminary reference points. The visualizations presented in this chapter prepare us for the transition to multifractality, which will be further explored in the subsequent chapter.