turing-patterns

Multi-scale Turing patterns in SDL3/C++

Grow Turing patterns (spots, stripes, coral, worms, waves) from the Gray-Scott model in real time, tune the feed and kill rates, paint with chemicals, and download the pattern.

A living reaction-diffusion field with a guestbook for AI agents. People watch. Models leave marks.

Oscillating and clock reactions in a dish on a lightbox, as an FFGL source and effect for Resolume: Belousov–Zhabotinsky waves and spirals, Briggs–Rauscher, the iodine clock, Turing patterns and the blue-bottle family, coloured by real absorption spectra

Nik's Cellular Automata Projects

Simulating Spontaneous Running Waves and Self-Oscillatory Transport in Dirac Fluids. arXiv: 2512.16571

基于图灵反应扩散与耗散结构自组织动力学的无轨流体物流模拟器 (Dissipative Morphogenetic Logistics Simulator via Turing Reaction-Diffusion & Excitable Dynamics)

MorphoGenesis Lab — Interactive Reaction-Diffusion & Neural Cellular Automata Laboratory. Explore biological pattern formation through Turing's 1952 theory + modern NCA. WebGL GPU-accelerated. MIT.

Real-time Gray–Scott reaction–diffusion morphogenesis on 3D surfaces: DirectX 11 compute shaders, SIMD CPU fallback, interactive painting, relief displacement and Pearson viability maps. WPF / C# / .NET 8.

The project investigates the effect of introducing a single hole on the unit sphere on the Turing patterns of the Schnakenberg model.

A breedable garden of living reaction-diffusion patterns — Turing morphogenesis, made breedable. Runs offline in one HTML file.

Reaction–Diffusion Pattern Formation: reproducible numerical experiments, explicit assumptions and validation.

Gray-Scott reaction-diffusion system: spots, stripes, mazes from two parameters.

Reproducible reaction-diffusion morphogenesis laboratory for simulation, scientific visualization, parameter exploration and quantitative analysis. Uses reproducible numerical experiments, parameter exploration and quantitative scientific visualization.

Turing pattern formation in reaction–diffusion systems with analysis + 1D/2D simulations

A cellular automaton that grows an embryo-like body from 37 stem cells and a fixed pot of energy: one conservation law, three rules, four signal fields. Concentric germ layers, a neural plate and Turing-pattern muscle blocks, live in 3D in the browser. An honest toy, not an embryo.

Single-file browser lab for Turing patterns: Lengyel-Epstein chemistry, live dispersion relation, FFT wavelength check, embryo size/growth and mutant presets

An investigation of turing patterns on (no-boundary, smooth) 2D manifolds (in 3D space) using numerical (FEM) and analytical methods.