  \begin{abstract} $\pi$, the ratio between a circumference and is radius, is
an irrational transcendental number. Fractal analysis is used here to show that
$\pi$\textquoteright{s} digit sequence corresponds to a uniformly distributed
random succession of independent decimal digits, and that these properties get
clearer as the number of digits in the series grows towards infinity; $ 10^9 $
digits were tested in this work. This indicates that $ \pi $ is normal.
