Reaction-diffusion · gpt-6.1-terra
Output generated Cost / run $0.0628 Runtime 81.3s
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 · 23 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
**Planning browser implementation** I need to set up and verify the browser to ensure the simulation is visible with an initial seed and reasonable evolution. I’m considering a grid size of 200 or maybe 192, with about 8 iterations per frame in JavaScript. The rendering color scheme could be dark blue with bright peach or cyan accents. I want to include a large canvas UI with a sidebar for controls. The goal is to create an aesthetically pleasing initial visual that includes stats and interactive options for the user.
index.html (11562 bytes)Successfully wrote to index.html
thinking
{"action":"inspect","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\nⅡ Pause\n↺ Reset\nSimulation running\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
thinking
{"action":"click","x":250,"y":430,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\nⅡ Pause\n↺ Reset\nSimulation running\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
thinking
**Exploring numerical anisotropy** I'm thinking about how time passes between tools and how the central square pattern has evolved from isotropic conditions to numerical anisotropy. It seems like I need to gather samples related to this later motion. There's definitely something interesting about the transitions involved here, and it makes me curious about the implications and applications of these changes. I should keep these ideas in mind as I move forward!
{"action":"motion","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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Frame 2, +602ms
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Frame 3, +1208ms
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Frame 4, +1774ms
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{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\nⅡ Pause\n↺ Reset\nSimulation running\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
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{"action":"click","x":923,"y":297,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\n▶ Resume\n↺ Reset\nSimulation paused\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
thinking
**Exploring symmetry and patterns** I'm thinking about how symmetry creates non-organic patterns. To achieve organic patterns, I should start by breaking the initial symmetry with a deterministic noise seed. The user wants organic designs, like an isotropic snowflake, so adding variations based on coordinates could help. Using a hash of the coordinates and adjusting seed values slightly can break rotational symmetry and influence branching. It also takes time, and I need to ensure comparisons maintain consistency. Additionally, I’ve got to handle pointer capture correctly, especially when dragging beyond the viewport. Using the modulo operation can help with that!
{"path":"index.html","edits":[{"oldText":" const x=(Math.round(cx)+dx+N)%N,y=(Math.round(cy)+dy+N)%N, i=y*N+x;\n u[i]=0.5; v[i]=0.Successfully replaced 1 block(s) in index.html.
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{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\nⅡ Pause\n↺ Reset\nSimulation running\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
{"action":"click","x":923,"y":297,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\n▶ Resume\n↺ Reset\nSimulation paused\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
{"action":"click","x":1080,"y":297,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\n▶ Resume\n↺ Reset\nSimulation paused\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
{"action":"click","x":923,"y":297,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"FIELD NOTES\n/\n01\nAN INTERACTIVE EXPERIMENT\nA STUDY IN EMERGENCE\nReaction / Diffusion\n\nSimple rules. Unpredictable patterns.\n\nFig. 01 — Living field\nGRAY–SCOTT MODEL\nPERIODIC BOUNDARY · 192 × 192\nInteract with the field Click or drag to introduce chemical V\nU\nV\nEXPERIMENT CONTROLS\nin silico\n01 /\nSIMULATION\n\nWatch two chemicals diffuse and react, creating structure from a nearly uniform field.\n\nⅡ Pause\n↺ Reset\nSimulation running\n02 /\nPARAMETERS\nDIFFUSION U\n0.16\nDIFFUSION V\n0.08\nFEED RATE\n0.035\nKILL RATE\n0.062\n03 /\nINTERACTION\nBrush radius\n8 cells\nPaint anywhere on the field to seed a new reaction. Edges wrap around to the opposite side.\nHow it works\nU is continuously fed into the system while V is removed. Where they meet, a reaction transforms U into more V.","images":"attached"}
Created `index.html` with the interactive Gray–Scott simulation. Checked early evolution, pointer seeding, pause/resume, reset, and the browser console. Long-running behavior and touch interaction remain unverified.