Aetherscope

• This is aetherscope, originally a fractal engine in Typescript, now written in C.
• Disclaimer: The visuals presented in Aetherscope might be triggering to some due to the lighting of the fractals.
• Nix flake used for nix users, .envrc is provided, run direnv allow to automate entering the devShell.

Inspiration

• Inspired by video on youtube by BriTheMathGuy: The Number That Equals Its Own Cosine.
• When using RAD mode(radian mode), x = cos(x) when x converges to 0.73...
• Discovered convergence of ((x+1)/(x-1)) ^ x = x when x converges to 7.47...
• These convergences are all linked to derivative, a high school concept in Calculus to use lim x → 0, calculating derivatives can efficiently predict a function's pattern.
• Later I discovered the concept of Fractal Derivatives, which is directly related to Fractals.

Resources and References

• Fractal Derivative In Wikipedia.
• Fractal In Wikipedia.

Features

• Fractals display with zoom functions.
• Four different types of fractals that are incredibly smooth.