Working on some visualizations of Strange Attractors! More specifically, a 3D version of Clifford Pickover’s “Clifford Attractor”
You start anywhere in 3D space and each step update your coordinates with a function. Despite being a discrete function jumping far distances at a time, the set of points you visit converges to an “attractor” under certain parameters. These attractors tend to look organic and complex rather than something symmetrical or whatever you expect math to do. That’s because the systems are “chaotic”, meaning small changes in input diverge to giant changes over time. And yet when viewed over time they still have a clear structure!
One of my favorite part of math has always been the fine line between order and chaos. A black tv screen is orderly but boring, a noisy static tv screen is chaotic but also boring. Everything has a line in the middle where some really creative stuff can be found. Stick around to see what I make with this!!