Homer Simpson Is Made of Maths

Let's start with two parametric equations, x(t) and y(t), as given by the following formulations:

Homer Simpson-like Curve Parametric Equations x(t) and y(t)

If you plot the results of these equations for values of t from 0 through 40π, using an online application like Wolfram Alpha, you'll get the following surprising output:

Homer Simpson-like Curve Parametric Equations x(t) and y(t)

This, of course, is just another unique intersection between maths and The Simpsons, which runs very deep throughout the animated show's 31+ year run.