Applied computer science student Levi Ellis developed a script that visualises 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 utilising 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 randomised placement of prime numbers throughout the natural number line can form an intricate, repeating fractal.
Source: dezeen.com