Reaction-diffusion · aion-2.0
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 · 6 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
I output the response in the block but while still within the block. The user wants a single-page web app that runs a Gray-Scott reaction-diffusion simulation on a canvas, growing organic Turing patterns in real time, with mouse seeding new growth. Everything must be in one self-contained index.html file with inline CSS and JS, no external resources. Let me plan this out: 1. **Gray-Scott model**: A classic reaction-diffusion system with two chemicals U and V. The equations are: - ∂U/∂t = Du * ∇²U - U*V² + F*(1 - U) - ∂V/∂t = Dv * ∇²V + U*V² - (F + k)*V where F is feed rate, k is kill rate. 2. **Implementation approach**: Use a 2D grid on a canvas. Use two buffers (current and next) for U and V. Compute Laplacian using a 3x3 convolution kernel. Use requestAnimationFrame for real-time animation. 3. **Mouse interaction**: When mouse moves/drags over canvas, seed V (or perturb U) to create new patterns. 4. **UI**: Canvas element, maybe some controls for parameters like F, k, Du, Dv, reset, etc. Let me write the complete HTML file with: - Canvas for rendering - Gray-Scott simulation - Mouse interaction for seeding - Parameter controls - Nice styling I'll use a reasonable grid size (e.g., 400x300 or so) and scale it to the canvas. Or I could make the grid match the canvas size. Let me think about the implementation details: - Grid: Two arrays for U and V (current state), plus two for next state - Laplacian: Using a 3x3 kernel with weights [0.05, 0.2, 0.05; 0.2, -1, 0.2; 0.05, 0.2, 0.05] - Update: For each cell, compute laplacian, then update U and V - Rendering: Map V value (0-1) to a color gradient (black to white or a colormap) For the mouse seeding: When mouse moves/drags, set V to 1.0 in a small radius around the cursor. Let me write this out now. I'll make the canvas responsive and the controls clean. I'll use a nice color palette - maybe a plasma-like or viridis-like colormap, or just a simple blue-green-yellow gradient. Let me write the complete file.
/tmp/ws/index.html (12846 bytes)Successfully wrote 12846 bytes to /tmp/ws/index.html
thinking
When the response is complete, I close both tags. I will answer the user's question while following all the guidelines. The user asked to build a Gray-Scott reaction-diffusion simulation on a canvas. I've written the file. Let me verify it exists.
The file has been written. Let me verify it's present and check the file size:
{"command":"ls -la /tmp/ws/index.html"}-rw-r--r--. 1 node node 12850 Aug 1 20:40 /tmp/ws/index.html
thinking
I never output the closing tag. Wait, that's not right. Let me re-read the system prompt. The system prompt says: - You are an expert coding assistant operating inside pi, a coding agent harness. - Available tools: read, bash, edit, write - Guidelines: ... - When tool call is required: Output the function call block at whatever point in your response your instructions require it — before your user-visible answer, after it, or with no user-visible answer at all. - Never write
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 reaction-diffusion patterns grow organically from seeded points, reacting to click, drag, wheel, and keys with intricate Turing-like patterns.
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.