So beautiful. Bézier curves are way more fun than I thought!
There's a demonstration that's perhaps easier to digest! It starts with only three (magenta) line segments. For each of them, it slowly goes from one end to the other of the line, and draw another (lighter) line in between. It's repeated until all that is left is a single point. The path that point takes draws a pretty curve, called a Bézier curve! There's your brain of the day!