Veritasium YouTube Video on Fractals.
#1
I am assuming most here have seen the Nova TV show, "Hunting the Hidden Dimension". Well worth finding and watching. I know it used to be on the PBS website. I have been watching videos from the YouTube channel, Veritasium. I had just watched his video on Gödel's incompleteness theorem and this video shows up as a suggestion. He explains fractals in a unique way, and shows how the Mandelbrot set is involved in a larger picture. As a non-math guy, I loved his explanation.

https://www.youtube.com/watch?v=ovJcsL7vyrk
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