I use a pretty silly question about delivering babies to naturally derive a special type of fractal (a spacefilling curve) and discuss its applications in computer science. No prior knowledge required other than counting in binary.

Errata:
9:05. A maximum difference of just FIFTEEN.
9:28. Emphasis on the "about". A Hilbert curve would be better. I intentionally didn't explicitly mention the Hilbert curve due to time reasons and I didn't want to discount the effectiveness of the Zorder curve without a more indepth comparison.

Regrets:
A more concrete measure of friendship and happiness certainly would have helped the point of the video.
9:07. I shouldn't have cherrypicked the good examples. It is certainly worth mentioning that there will ALWAYS be sets of neighbors that don't get along. It is a property of mapping R^1 to R^2.

Animated with:
The Manim Community Developers. (2023). Manim – Mathematical Animation Framework (Version v0.17.3) [Computer software]. https://www.manim.community/

Music: Preliminary Art Form by C418

xkcd comic: https://xkcd.com/195/
Map of the internet blog post: https://blog.benjojo.co.uk/post/scan...