Lorenz attractor · gpt-6.1-sol
Output generated Cost / run $0.1297 Runtime 160.2s
Prompt for this run
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
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 · 21 messages
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
{"command":"ls -la","timeout":10}total 604 drwx------ 3 node node 4096 Oct 5 00:38 . drwxrwxrwt 6 root root 4096 Oct 5 00:38 .. drwxr-xr-x 3 node node 4096 Oct 5 00:38 .home -rw-r--r-- 1 node node 603445 Oct 5 00:38 three.min.js
thinking
**Designing a simulation interface** I'm planning a simulation interface layout. The main title should be positioned slightly to the right, with specific dimensions. The canvas needs to fill the viewport completely. At the top, I'll place a logomark with a butterfly-like design alongside the title and navigation badge. On the right, I want to include a "LIVE SIMULATION" indicator with a green dot. I'll also focus on adding a sidebar near the bottom for coordinate readout and a control panel with sliders for parameters.
I’ll build a glowing, animated Lorenz trajectory with drag-to-orbit controls, live parameter tuning, and playback controls—all in `index.html`.
index.html (17000 bytes)Successfully wrote to index.html
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nLIVE SIMULATION\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx -1.591\ny -2.954\nz 18.921\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n28.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n7,025/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
thinking
**Considering observations on shape** I'm noticing that the shape looks great overall, but the narrow tilted left lobe might be slightly off due to the viewing angle at .15 az. The transformation depth seems to contribute to this narrowness. I think it could be acceptable, but I'll need to test controls and motion to fully assess it. Let's make sure to keep refining this until it meets the standards we want!
{"action":"click","x":83,"y":693,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nSIMULATION PAUSED\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx 0.380\ny -1.225\nz 21.806\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n28.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n8,547/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
{"action":"drag","x":778,"y":360,"toX":947,"toY":390,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nSIMULATION PAUSED\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx 0.380\ny -1.225\nz 21.806\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n28.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n8,547/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
thinking
**Testing elevation adjustments** I’m looking at changing the default elevation to -0.85 and 0.33. I need to test the slider feature to see if it pauses and generates only one output, which is reasonable, but kind of inconvenient because it stays paused. I guess I want it to resume after that, so I’ll need to figure that out. I’m curious how these changes will affect the overall functionality or user experience.
{"action":"click","x":665,"y":714,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x8bc00129400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nSIMULATION PAUSED\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx 11.522\ny 17.209\nz 30.219\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n36.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n1/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
thinking
{"path":"index.html","edits":[{"oldText":"let azimuth=.15,elevation=.15,distance=108","newText":"let azimuth=-.85,elevation=.33,distance=108Successfully replaced 3 block(s) in index.html.
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nLIVE SIMULATION\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx -1.591\ny -2.954\nz 18.921\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n28.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n7,025/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
{"action":"motion","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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Frame 2, +1268ms
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Frame 3, +2706ms
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Frame 4, +4135ms
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{"console":["warning: An iframe which has both allow-scripts and allow-same-origin for its sandbox attribute can escape its sandboxing.","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels","warning: [.WebGL-0x1ca40017d400]GL Driver Message (OpenGL, Performance, GL_CLOSE_PATH_NV, High): GPU stall due to ReadPixels (this message will no longer repeat)"],"dom":"PHASE SPACE\n01 / THE LORENZ ATTRACTOR\nLIVE SIMULATION\nDETERMINISTIC CHAOS\nOrder in\nthe chaos.\n\nA system of three equations.\nAn infinite, never-repeating dance.\nExplore the beautiful edge of chaos.\n\nẋ = σ (y − x)\nẏ = x (ρ − z) − y\nż = xy − βz\nA STRANGE ATTRACTOR\nEDWARD LORENZ · 1963\nz\nx\ny\nx 8.771\ny 0.792\nz 35.241\nDRAG TO ORBIT\nSCROLL TO ZOOM\nTIME EVOLUTION\n1× ↗\nPRANDTL NUMBER\nσ\n10.0\nRAYLEIGH NUMBER\nρ\n28.0\nGEOMETRIC FACTOR\nβ\n2.667\nTRAJECTORY POINTS\n9,807/ 32k\nNONLINEAR DYNAMICS / CONTINUOUS SYSTEM\nRESET TO DEFAULTS ↗\nDefault parameters restored","images":"attached"}
Created `index.html` using the provided `three.min.js`. Features: - Glowing 3D Lorenz trajectory that draws over time - Drag-to-orbit camera and scroll-to-zoom - Pause, restart, and drawing-speed controls - Live σ, ρ, and β parameter sliders - Coordinate readouts and trajectory progress Tested rendering, animation, orbit dragging, and controls in the browser.