Reaction-diffusion · glm-4.6
Run a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth.
transcript · 4 messages
Run a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth.
thinking
The user wants me to create a single-page web app with a Gray-Scott reaction-diffusion simulation that creates organic Turing patterns. This needs to be in a single index.html file with inline CSS and JavaScript, no external dependencies. Key requirements: 1. Gray-Scott reaction-diffusion simulation 2. Real-time rendering on canvas 3. Mouse interaction to seed new growth 4. Organic Turing patterns 5. Self-contained single file The Gray-Scott model is a reaction-diffusion system that produces Turing patterns. The equations are: - ∂u/∂t = Du∇²u - uv² + F(1-u) - ∂v/∂t = Dv∇²v + uv² - (F+k)v Where: - u and v are chemical concentrations - Du and Dv are diffusion rates - F is the feed rate - k is the kill rate I'll need to: 1. Create a canvas element 2. Implement the reaction-diffusion equations 3. Use numerical methods to solve them (finite differences) 4. Render the results in real-time 5. Handle mouse clicks to seed new patterns 6. Create a nice UI with controls for parameters Let me create this simulation with good performance and visual appeal.
/tmp/ws/index.html (18473 bytes)Successfully wrote 18473 bytes to /tmp/ws/index.html
thinking
I've successfully created a comprehensive Gray-Scott reaction-diffusion simulation in a single HTML file. The simulation includes: 1. **Core Features:** - Real-time Gray-Scott reaction-diffusion simulation - Interactive canvas with mouse seeding - Organic Turing pattern generation - Multiple color modes (blue, fire, green) - Performance-optimized rendering 2. **Interactive Controls:** - Adjustable feed rate (F) and kill rate (k) parameters - Diffusion coefficients for both chemicals - Simulation speed control - Preset patterns (spots, stripes, waves, chaos) - Pause/resume functionality - Reset and clear options 3. **Visual Design:** - Modern dark theme with gradient backgrounds - Smooth animations and transitions - Real-time FPS and iteration counter - Responsive layout that adapts to screen size - Pixelated rendering for crisp pattern visualization 4. **Technical Implementation:** - Efficient finite difference method for Laplacian calculation - Double buffering for smooth animation - Optimized grid size for good performance - Proper boundary conditions - Value clamping to maintain stability The simulation creates beautiful organic patterns that evolve over time, and users can interact with it by clicking to seed new growth areas. The different presets showcase various classic Turing patterns that emerge from different parameter combinations.
Created a complete Gray-Scott reaction-diffusion simulation that generates organic Turing patterns in real-time. The app features: - **Interactive canvas** - Click anywhere to seed new pattern growth - **Real-time simulation** - Watch organic patterns emerge and evolve - **Parameter controls** - Adjust feed/kill rates and diffusion coefficients - **Pattern presets** - Quick access to spots, stripes, waves, and chaos patterns - **Color modes** - Switch between blue, fire, and green visualizations - **Performance monitoring** - FPS counter and iteration display The simulation uses the Gray-Scott equations to create self-organizing patterns that mimic natural phenomena like animal markings, chemical reactions, and biological morphogenesis. Click on the canvas to inject new chemical concentrations and watch how patterns grow and interact!
TAKE IT TO CODE
A single self-contained HTML file — copy it and open in any browser, or reuse the prompt with your own pi-agent run.
RUN
EVALUATION
Gray-Scott simulation grows organic Turing patterns that self-animate and clearly react to click/drag/wheel/keys with UI controls.
Vision grade · anthropic/claude-sonnet-5
MEASUREMENTS
Raw readings from the capture, not a verdict — the grade above is the only judgement. Percentages are how much of the screen changed; the measure under-reports sparse motion on a dark background.