I can still remember when the Mandelbrot set was discovered. Amazing that this infinite complexity can arise from a simple repeated equation.
I love to view the videos created with the mathematical models.
I attended a presentation by a math professor from the UK on this topic at a conference in Italy a few years ago. Absolutely amazing.
There are lots of YouTube videos on this subject.
I can see it being perfect for AI brain mapping - infinite categories and subcategories to index data storage for faster recall.