Interesting video

We were watching some Youtube as a family recently and decided to learn about the Fourier transform . This beautiful piece of mathematics was Joseph Fourier's generalized theory based on his analysis of heat flow.

There was a ton of complicated math when solving these transforms, but what I found interesting was the simple motion of the geometry. I figured if I could build a program based on these visualizations alone, I could skip the math entirely, but still achieve the same result. Don't get me wrong, I love math, but I saw this as a different sort of challenge.

Development

I decided to use Godot as my engine for this project since creating visuals is what it is meant for. I created a dynamic Circle scene with variable size, color, and frequency. Then I simply attached these Circles's to each other as nested children so that their movement would be relative to their parent's motion.

Enjoy the demo below.

Demo