fractals
Last tended to on June 09, 2024
are objects which have some aspect of self-similarity to them (though this doesn’t have to be perfect self-similarity – as 3blue1brown explains, the broader definition of fractals includes all shapes whose “roughness” stays the same, no matter how much you zoom in.)
Links to “fractals”
binary space partitioning the world
the world is divided into 4 quadrants: 00, 01, 10, and 11 (starting with the top left, then top right, then bottom left, then bottom right.) each of those is divided into 4 quadrants, and so on. we can represent any location on earth as a string of 0’s and 1’s, where each 2 bits represents a quadrant.
for example, my childhood home is at 0011000000111011000000 (last few bits left off for privacy…)
mt everest is around 011001111101000101
i encourage you to go down the rabbit-hole to your home, workplace, or a favorite spot in the world. then, once you get to the bottom, zoom back out to see the fractal you’ve created.
have at it~ inspired by the CGP Grey A4 paper video
metanote; while i was writing this note, copilot gave me the following suggestion:
Which…not only is a valid youtube video, but it’s a 3blue1brown video on the very topic of fractals. Before I’d even written the word fractal, or self-similar, or anything in this document. Kinda crazy, right?