  The structure of the proton exhibits Fractal behavior at low \textit{x},
where \textit{x} is the fraction of the proton's momentum carried by the
interacting partons. This Fractal behavior is characterized by self-similar
properties at different scales and can be quantified using the concept of
Fractal dimension. An investigation into the Fractal properties of the proton
structure at low \textit{x} is critical for understanding the fundamental
properties of the strong force and developing a more comprehensive
understanding of the hadron structure. Fractals, characterized by self-similar
patterns across scales, demonstrate a direct correlation between their Fractal
dimension and entropy, where higher Fractal dimensions correspond to increased
informational content. Furthermore, it is essential for designing high-energy
physics experiments and developing more accurate models of subatomic particle
interactions. This paper has a fresh look at the self-similar properties of the
proton structure at low \textit{x}. Our study involves the use of the
\textbf{xFitter} framework to parameterize the proton structure functions with
a Fractal formalism at low \textit{x}. We also examine how the inclusion of new
data affects the results of our analysis.
