Determination of the pi (π) number through square net of identical resistors

The number $\pi$ is generally described as the value obtained from the perimeter per diameter ratio of a circumference. But this number appears in various circumstances in the sciences in general, especially when a system has periodicity. In this work we present a way to obtain this mathematical constant experimentally by measuring the equivalent resistance in an resistors infinite square grid. Measurements were made throughout the fabrication process using real resistors and simulating them in an online application. The measurements show that the greater the number of layers of the mesh, the closer the value of $\pi$ is reached. We will also present other alternative ways of performing such an experiment.

Keywords:
Measurement of π; infinity resistors web