Double pendulum · gpt-6.1-terra
Output generated Cost / run $0.0579 Runtime 48.9s
Prompt for this run
Build a planar double-pendulum simulation on a canvas with a colorful fading trail at the lower bob. 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: - Model two point masses connected by massless rigid rods under gravity, without damping or external driving. Use the coupled equations of motion rather than independent sine-wave animations. - Use equal masses and rod lengths, gravity of 9.81 in consistent simulation units, initial angles of 120 and -10 degrees measured from downward vertical, and zero initial angular velocities. - Draw a fixed pivot, both rods and bobs, and a bounded fading trail of the lower bob. Keep both rod lengths constant and the pendulum visible. - Provide Pause/Resume and Reset. Reset restores the stated initial conditions and clears the trail. - Use a numerically stable integration scheme and time step so ordinary playback does not explode or freeze. Verify: Sample the pendulum at several moments to inspect coupled motion, connected rods, and the lower-bob trail. Pause and resume to check the motion control, then reset and confirm that the starting pose and cleared trail return.
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 planar double-pendulum simulation on a canvas with a colorful fading trail at the lower bob. 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: - Model two point masses connected by massless rigid rods under gravity, without damping or external driving. Use the coupled equations of motion rather than independent sine-wave animations. - Use equal masses and rod lengths, gravity of 9.81 in consistent simulation units, initial angles of 120 and -10 degrees measured from downward vertical, and zero initial angular velocities. - Draw a fixed pivot, both rods and bobs, and a bounded fading trail of the lower bob. Keep both rod lengths constant and the pendulum visible. - Provide Pause/Resume and Reset. Reset restores the stated initial conditions and clears the trail. - Use a numerically stable integration scheme and time step so ordinary playback does not explode or freeze. Verify: Sample the pendulum at several moments to inspect coupled motion, connected rods, and the lower-bob trail. Pause and resume to check the motion control, then reset and confirm that the starting pose and cleared trail return.
thinking
**Designing a Dashboard Layout** I’m considering a modern dark dashboard with specific sections: a header, an introduction and controls on the left, main visualization in the center, and telemetry at the bottom. I want to ensure everything fits within the layout. For the visual aspect, I plan to implement dynamic features, like a rainbow gradient trail and a subtle dots grid background using CSS. I also intend to use fixed updates and samples for rendering at specific intervals. This will give a smooth and engaging experience!
index.html (13480 bytes)Successfully wrote to index.html
thinking
{"action":"inspect","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\nⅡ\nPause\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION RUNNING\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n0.12s\nUPPER ANGLE Θ₁\n116.1°\nLOWER ANGLE Θ₂\n−11.7°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
thinking
{"action":"motion","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\nⅡ\nPause\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION RUNNING\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n3.80s\nUPPER ANGLE Θ₁\n59.1°\nLOWER ANGLE Θ₂\n14.1°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
thinking
{"action":"click","x":105,"y":383,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\n▶\nResume\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION PAUSED\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n6.36s\nUPPER ANGLE Θ₁\n1.8°\nLOWER ANGLE Θ₂\n104.1°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
{"action":"motion","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\n▶\nResume\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION PAUSED\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n6.36s\nUPPER ANGLE Θ₁\n1.8°\nLOWER ANGLE Θ₂\n104.1°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
thinking
{"action":"click","x":225,"y":383,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\n▶\nResume\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION PAUSED\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n0.00s\nUPPER ANGLE Θ₁\n120.0°\nLOWER ANGLE Θ₂\n−10.0°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
{"action":"click","x":105,"y":383,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
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{"console":[],"dom":"∿\nMOTION LAB\nINTERACTIVE PHYSICS EXPERIMENT\nEXPERIMENT 01\nDouble\npendulum.\n\nA simple system, endlessly unpredictable. Explore the beauty of chaotic motion, one swing at a time.\n\nⅡ\nPause\n↺\nReset\nSYSTEM PARAMETERS\nGravity\n9.81 m/s²\nRod lengths\n1.00 m each\nBob masses\n1.00 kg each\nInitial angles\n120° / −10°\nTwo connected pendulums. One captivating path. The trail traces the journey of the lower bob.\n✳ PHASE IN MOTION\nSIMULATION RUNNING\nCOUPLED MOTION · NO DAMPING\nTRAIL OF LOWER BOB\nELAPSED TIME\n0.05s\nUPPER ANGLE Θ₁\n119.3°\nLOWER ANGLE Θ₂\n−10.3°\nAngles measured from downward vertical\nBUILT FOR CURIOUS MINDS","images":"attached"}
thinking
Created `index.html` with the coupled double-pendulum simulation. Checked motion and trail at several moments, pause/resume, and reset to the initial pose with a cleared trail. The browser console showed no errors. Long-duration stability was not tested.