Applied computer science student Vi Ellis developed a script that visualizes the prime placement pattern as a fractal using a binary translation system. The script creates a ruleset informed by user-inputted parameters which is fed into a Lindenmayer growth simulator. Through various generative processes utilizing L-systems, Ellis created unconventional visual representations of the chaotic placement of prime numbers throughout the natural number line. After running simulations at eight levels of iterative magnification, Ellis found that the seemingly randomized placement of prime numbers throughout the natural number line can form an intricate, repeating fractal.
Source: dezeen.com