Double pendulum · gpt-6.1-sol
Output generated Cost / run $0.1456 Runtime 149.7s
Prompt for this run
Simulate a chaotic double pendulum on a canvas using the correct equations of motion, drawing the arms and a colorful fading trail of the tip.
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 · 25 messages
Simulate a chaotic double pendulum on a canvas using the correct equations of motion, drawing the arms and a colorful fading trail of the tip.
{"command":"ls -la","timeout":10}total 12 drwx------ 3 node node 4096 Oct 5 00:35 . drwxrwxrwt 6 root root 4096 Oct 5 00:35 .. drwxr-xr-x 3 node node 4096 Oct 5 00:35 .home
thinking
index.html (17947 bytes)Successfully wrote to index.html
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION LIVE\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\nⅡ\nPause\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n0.23s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
thinking
{"action":"screenshot","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION LIVE\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\nⅡ\nPause\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n10.83s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
thinking
{"path":"index.html","edits":[{"oldText":"</style>","newText":"@media(min-width:901px) and (max-height:850px){header{padding:20px 40px}main{Successfully replaced 1 block(s) in index.html.
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION LIVE\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\nⅡ\nPause\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n0.13s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
thinking
{"action":"click","x":106,"y":668,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION PAUSED\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\n▶\nPlay\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n3.53s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
{"action":"click","x":209,"y":667,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION PAUSED\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\n▶\nPlay\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n0.00s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
{"action":"drag","x":1098,"y":530,"toX":1029,"toY":530,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION PAUSED\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\n▶\nPlay\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n0.00s\nTOTAL ENERGY\n-32.49J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n14 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
thinking
{"action":"reload","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION LIVE\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\nⅡ\nPause\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n0.18s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
{"action":"motion","x":0,"y":0,"toX":0,"toY":0,"text":"","delta":0}Frame 1, +0ms
[Browser image supplied to model]
Frame 2, +571ms
[Browser image supplied to model]
Frame 3, +1150ms
[Browser image supplied to model]
Frame 4, +1721ms
[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":"MOTION LAB\nAN INTERACTIVE PHYSICS EXPLORATION\nDouble pendulum\n\nSimple rules. Unpredictable motion. Explore the beauty of chaos.\n\nEXPERIMENT 001 / CLASSICAL MECHANICS\nSIMULATION LIVE\nMass 1\nMass 2\nDrag a mass to set it in motion\nFRICTIONLESS SYSTEM\nⅡ\nPause\n↺\nReset\nSPEED\n0.5×\n1×\n2×\nELAPSED TIME\n5.75s\nTOTAL ENERGY\n3.86J\nENERGY DRIFT\n0.000%\nSystem parameters\nLIVE CONTROLS\nArm 1 length\n1.20 m\nArm 2 length\n1.20 m\nMass 1\n1.00 kg\nMass 2\n1.00 kg\nGravity\n9.81 m/s²\nInitial conditions\nFROM VERTICAL\nAngle 1\n125 °\nAngle 2\n-35 °\nShow tip trail\nCOLOR FOLLOWS TIME\nClear trail ↗\n\nSmall changes in initial conditions create wildly different paths. Try changing an angle by just one degree.\n\nDeterministic. Yet unpredictable. Two coupled pendulums, one chaotic system.\nRK4 INTEGRATION · Δt = 1/240 s\nMOTION LAB / EXPLORING SYSTEMS IN MOTION\nNO FRICTION. NO TWO PATHS ALIKE.","images":"attached"}
Created `index.html`, a self-contained simulation featuring: - Correct double-pendulum equations with fixed-step RK4 integration - Animated arms and a colorful, fading tip trail - Adjustable lengths, masses, gravity, and initial angles - Pause, reset, randomize, and speed controls - Draggable masses and live energy monitoring Tested animation and key controls in the browser. No external dependencies.