And a bonus vid:
I’ve shared the documentary, The Colors of Infinity before, but I’m sharing it again because I found it for free on YouTube, and also because I think you should watch both of these videos together simultaneously. You will zoom through the Mandelbrot set while you hear Mandelbrot himself describe his Eureka! moment of discovery. You’ll also understand what is meant by self-similarity found in fractal patterns. Experience what it’s like to magnify a fractal until it is enormously larger than our known universe!