A math music video, animated in Desmos: Imagine All the Numbers (Having a Square Root)

Here's a song about imaginary numbers, set to the tune of "Imagine" by John Lennon, with accompanying animations made in Desmos:

https://www.youtube.com/watch?v=pOagqB8CuLE

Made for MoMath's Open Set math songs event: https://momath.org/openset/

The main Desmos graphs used:
Complex grid inversion: https://www.desmos.com/calculator/vfr0kwikp3

Mandelbrot with moving trajectory (will take a few seconds to render)
https://www.desmos.com/calculator/haablhcnxk

Domain-colouring complex roots of unity: https://www.desmos.com/3d/qckybwlbya

I hope some day you'll join us: https://www.desmos.com/calculator/7gsnqxr4up

With Fourier to guide us: https://www.desmos.com/calculator/bdnl8vzgz2

I hope you enjoy it!

Raj