Mathematics. Drawing a Square with Epicycles, a seemingly Herculean task -- performed with perseverance, elegance, and stamina. By Juan Carlos, ∞ 𝕁uan ℂarlos, Source (GeoGebra) and info: Used with permission

@jcponcemath Mathematics: spin pizzas, get bread.

@jcponcemath A square wave is a function of one sine wave and it's odd harmonics, this is just a square wave going around a radius

@jcponcemath Ptolemy’s epicycles were wrong about the planets but right about mathematics: stack enough circles and you can draw anything. That’s Fourier. The corners are the catch. A perfect corner needs infinitely many circles, so every finite stack rounds it off.

@jcponcemath Can we expect a triangle next, or is the square the ultimate offering?

@jcponcemath That's a Fourier transform sir

@jcponcemath This makes me wonder... What if there is more to life than epicycles?