PRIME POLAR PLOTS MAKE SPIRAL BURSTS! - press space or tap stage to toggle animation - use sliders to adjust magnification and colors - remix to make new plots! This project plots the first 10,000 known prime numbers along polar coordinates. Each coordinate is represented by item "i" in the prime set such that (r, θ) is equal to (i,i) or distance "i" and angle "i" radians from the origin. Strangely, prime numbers seem to form spirals when plotted in this way. Moreover, when you zoom out to a large enough scale, the patterns of spirals instead merge into outward bursts of rays. Cool!
INSPO: Grant Sanderson, 3blue1brown (https://youtu.be/EK32jo7i5LQ) PRIMES: https://t5k.org/lists/small/ If you look inside the project file, you'll actually find a list of 100,000 primes included. I ambitiously started with 1,000,000 primes (via t5k.org), upon which Scratch immediately crashed hahaha. Apparently Scratch has a hard limit of 200,000 list items, and anything above that will cause saving issues. I also found that my renders would start to lag at around 50,000 primes, so I decided to leave the render at a comfy 20,000 iterations per frame. If anyone can share better computing scripts to use on Scratch, that'd be pretty sweet. #math #mathart #prime #primenumbers #primespiral #spiral
