Reaction-diffusion · muse-wonder
Output generated Cost / run $0.3086 Runtime 57.3s
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.
RUN
METRICS
Transcript · 17 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
Implementing Gray-Scott reaction-diffusion with Float32Array double buffering, 9-point Laplacian, and canvas ImageData rendering for interactive control.Extending rendering with a V-based color gradient and pointer brush plus UI controls and stats.
index.html (13035 bytes)Successfully wrote to index.html
thinking
{"action":"inspect"}Frame 1, +1ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"Gray–Scott reaction–diffusion\n\nTwo virtual chemicals diffuse, react and consume each other on a wrapping square grid. Paint with the pointer to seed new coral-like growth.\n\nDu = 0.16\nDv = 0.08\nfeed = 0.035\nkill = 0.062\ndt = 1.0\n🖱️ Click / drag on the field to inject V\nRunning\nCONTROLS\n⏸ Pause\n↺ Reset field\n＋ Add blob\nClear V\nBrush radius\n10 cells\nSpeed — steps / frame\n3\nBrush strength\n0.80\ngrid\n256 × 256\nstep\n30\nmean V\n0.0018\nframe\n— fps\nboundaries\nwrapping\nCONCENTRATION V\nlow\nhigh\n\nUpdate per cell: ΔU = Du∇²U − UV² + feed(1−U), ΔV = Dv∇²V + UV² − (feed+kill)V, using a 9-point Laplacian.","images":"attached"}
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{"action":"drag","x":250,"y":300,"toX":330,"toY":340}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"Gray–Scott reaction–diffusion\n\nTwo virtual chemicals diffuse, react and consume each other on a wrapping square grid. Paint with the pointer to seed new coral-like growth.\n\nDu = 0.16\nDv = 0.08\nfeed = 0.035\nkill = 0.062\ndt = 1.0\n🖱️ Click / drag on the field to inject V\nRunning\nCONTROLS\n⏸ Pause\n↺ Reset field\n＋ Add blob\nClear V\nBrush radius\n10 cells\nSpeed — steps / frame\n3\nBrush strength\n0.80\ngrid\n256 × 256\nstep\n885\nmean V\n0.0058\nframe\n60 fps\nboundaries\nwrapping\nCONCENTRATION V\nlow\nhigh\n\nUpdate per cell: ΔU = Du∇²U − UV² + feed(1−U), ΔV = Dv∇²V + UV² − (feed+kill)V, using a 9-point Laplacian.","images":"attached"}
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{"action":"click","x":998,"y":238}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"Gray–Scott reaction–diffusion\n\nTwo virtual chemicals diffuse, react and consume each other on a wrapping square grid. Paint with the pointer to seed new coral-like growth.\n\nDu = 0.16\nDv = 0.08\nfeed = 0.035\nkill = 0.062\ndt = 1.0\n🖱️ Click / drag on the field to inject V\nPaused\nCONTROLS\n▶ Resume\n↺ Reset field\n＋ Add blob\nClear V\nBrush radius\n10 cells\nSpeed — steps / frame\n3\nBrush strength\n0.80\ngrid\n256 × 256\nstep\n1,431\nmean V\n0.0032\nframe\n60 fps\nboundaries\nwrapping\nCONCENTRATION V\nlow\nhigh\n\nUpdate per cell: ΔU = Du∇²U − UV² + feed(1−U), ΔV = Dv∇²V + UV² − (feed+kill)V, using a 9-point Laplacian.","images":"attached"}
thinking
{"action":"click","x":998,"y":238}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"Gray–Scott reaction–diffusion\n\nTwo virtual chemicals diffuse, react and consume each other on a wrapping square grid. Paint with the pointer to seed new coral-like growth.\n\nDu = 0.16\nDv = 0.08\nfeed = 0.035\nkill = 0.062\ndt = 1.0\n🖱️ Click / drag on the field to inject V\nRunning\nCONTROLS\n⏸ Pause\n↺ Reset field\n＋ Add blob\nClear V\nBrush radius\n10 cells\nSpeed — steps / frame\n3\nBrush strength\n0.80\ngrid\n256 × 256\nstep\n1,446\nmean V\n0.0032\nframe\n60 fps\nboundaries\nwrapping\nCONCENTRATION V\nlow\nhigh\n\nUpdate per cell: ΔU = Du∇²U − UV² + feed(1−U), ΔV = Dv∇²V + UV² − (feed+kill)V, using a 9-point Laplacian.","images":"attached"}
thinking
{"action":"click","x":998,"y":290}Frame 1, +0ms
[Browser image supplied to model]
{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing."],"dom":"Gray–Scott reaction–diffusion\n\nTwo virtual chemicals diffuse, react and consume each other on a wrapping square grid. Paint with the pointer to seed new coral-like growth.\n\nDu = 0.16\nDv = 0.08\nfeed = 0.035\nkill = 0.062\ndt = 1.0\n🖱️ Click / drag on the field to inject V\nRunning\nCONTROLS\n⏸ Pause\n↺ Reset field\n＋ Add blob\nClear V\nBrush radius\n10 cells\nSpeed — steps / frame\n3\nBrush strength\n0.80\ngrid\n256 × 256\nstep\n15\nmean V\n0.0027\nframe\n60 fps\nboundaries\nwrapping\nCONCENTRATION V\nlow\nhigh\n\nUpdate per cell: ΔU = Du∇²U − UV² + feed(1−U), ΔV = Dv∇²V + UV² − (feed+kill)V, using a 9-point Laplacian.","images":"attached"}
thinking
{"command":"ls -l index.html && grep -c \"0.16\" index.html"}-rw-r--r-- 1 node node 13079 Oct 15 04:09 index.html 3
thinking
Created `index.html` — a self-contained Gray–Scott reaction–diffusion simulation (no external resources). **Implementation** - 256×256 toroidal (wrapping) grid, double-buffered `Float32Array` fields U/V, 9-point Laplacian, dt = 1.0 - Exact parameters: Du = 0.16, Dv = 0.08, feed = 0.035, kill = 0.062, with the full reaction terms `−UV² + feed(1−U)` / `+UV² − (feed+kill)V` - Initial field U = 1, V = 0 with a small deterministic central seed (V≈0.5, U≈0.5); V mapped through a dark→indigo→teal→green→gold palette shaded by U depletion - Click/drag painting (interpolated strokes, wrapping brush) that adds V and reduces U; Pause/Resume, Reset, plus extra Add-blob/Clear and brush radius/speed/strength sliders - Work bounded at ≤6 steps/frame (default 3), single `ImageData` render per frame **Verified in the browser** - Early evolution: step counter and mean V advanced; central seed evolved into an expanding hollow ring pattern at a steady 60 fps - Pointer seeding: dragged a stroke in a separate region — it appeared immediately and visibly evolved/changed shape in following frames - Pause froze the step counter (held at 1,431); Resume restarted it - Reset restored step ≈ 0 and the identical central pale seed blob seen in the initial scene; no console errors **Not verified**: brush behaviour exactly across the wrap seam (implemented via modulo indexing, but not visually exercised), and very long-run pattern morphology beyond ~1,500 steps.