Reaction-diffusion · qwen3.5-9b
Output saved · Stopped by an API error Cost / run $0.0009 Runtime 142.4s
A model request failed and its retries ran out. The output is the HTML saved before that.
Prompt for this run
Build a Gray-Scott reaction-diffusion simulation on a canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Maintain two chemical concentration fields, U and V, with diffusion and the Gray-Scott reaction, feed, and removal terms. Evolve these fields rather than displaying a prerecorded pattern. - Use a square simulation grid with wrapping boundaries. Choose stable time and spatial steps with parameters Du = 0.16, Dv = 0.08, feed = 0.035, and kill = 0.062 in simulation units. - Initially fill the field with U = 1 and V = 0, then seed a small central region with V and reduced U. Map concentrations to contrasting colors so evolving organic patterns are visible. - Clicking or dragging adds V and reduces U near the pointer. Provide Pause/Resume and Reset; Reset restores the initial fields and seed. - Choose Canvas 2D or WebGL, and bound grid resolution and work per frame to keep interaction responsive. Verify: Sample early field evolution, then seed a separate region with the pointer. Check that the added region affects the following frames. Pause and resume, then reset and compare the restored central seed with the initial scene.
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.
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METRICS
Transcript · 7 messages
Build a Gray-Scott reaction-diffusion simulation on a canvas. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Maintain two chemical concentration fields, U and V, with diffusion and the Gray-Scott reaction, feed, and removal terms. Evolve these fields rather than displaying a prerecorded pattern. - Use a square simulation grid with wrapping boundaries. Choose stable time and spatial steps with parameters Du = 0.16, Dv = 0.08, feed = 0.035, and kill = 0.062 in simulation units. - Initially fill the field with U = 1 and V = 0, then seed a small central region with V and reduced U. Map concentrations to contrasting colors so evolving organic patterns are visible. - Clicking or dragging adds V and reduces U near the pointer. Provide Pause/Resume and Reset; Reset restores the initial fields and seed. - Choose Canvas 2D or WebGL, and bound grid resolution and work per frame to keep interaction responsive. Verify: Sample early field evolution, then seed a separate region with the pointer. Check that the added region affects the following frames. Pause and resume, then reset and compare the restored central seed with the initial scene.
thinking
I need to build a Gray-Scott reaction-diffusion simulation. Let me break down the requirements: 1. Two chemical concentration fields U and V 2. Diffusion and reaction terms (Gray-Scott reaction) 3. Feed and kill parameters 4. Square grid with wrapping boundaries 5. Parameters: Du = 0.16, Dv = 0.08, feed = 0.035, kill = 0.062 6. Initial state: U = 1, V = 0, with a central seed region 7. Color mapping for visualization 8. Click/drag to add V and reduce U 9. Pause/Resume and Reset controls 10. Canvas 2D or WebGL 11. Responsive to interaction Let me start by creating the HTML file with inline CSS and JavaScript. The Gray-Scott model equations are: - ∂U/∂t = Du * ∇²U - U * V² + feed * (1 - U) - ∂V/∂t = Dv * ∇²V + U * V² - (feed + kill) * V For the implementation, I'll use a 2D grid with double buffering for the fields. I'll use Canvas 2D for simplicity and performance. Let me create a comprehensive implementation: 1. Set up the HTML structure with canvas and controls 2. Implement the simulation with proper diffusion and reaction 3. Add color mapping 4. Add interaction (click/drag to seed) 5. Add pause/resume/reset controls For the Gray-Scott algorithm, I'll use the standard double-buffered approach with the reaction-diffusion equations. Let me write the code:
index.html (20223 bytes)Successfully wrote to index.html