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An "experimental" study on the randomness of the fractional digits of $\pi$,$e$ and $\phi$ irrational numbers are presented. This is done by exploiting the$1D$ Poisson-Voronoi tessellation. We employed two approaches and in bothcases, within the numerical error, no differences have been detected betweenthe irrational fractional digits and an equivalent random sequence of digits.The number of tested digits is $1.6 \times 10^7$ and $4 \times 10^7$ for thefirst and second approach, respectively. Although not shown here, weinvestigated several irrational numbers and all of them have displayed asimilar behavior.

Statistical approach based on 1D Voronoi tessellation as a tool for studying the randomness of fractional digits of some irrational numbers