Reaction Diffusion
This project was a just for fun project to model the Gray-Scott reaction-diffusion system. This is a mathematical model that describes how two chemicals interact and diffuse in space, creating complex patterns. Although many of my applications are not fully a product of the Gray-Scott model, I used it as a starting point to explore how reaction-diffusion systems can be used to create interesting visual effects. The project was completed in Python with the usage of Cursor.
Technical Overview
The Reaction Diffusion project was an implementation of the Gray-Scott system. Following the Fisher-KPP equation as follows, ∂u/∂t = D ∂²u/∂x² + ru(1 - u). The simulation calculates the concentration of two chemicals, U and V, over time. The system is governed by two main processes: diffusion, which spreads the chemicals across the grid, and reaction, which determines how the chemicals interact with each other. The project uses a grid-based approach, where each cell represents a point in space with specific concentrations of U and V.