Double pendulum · hy3-preview
Output generated Cost / run $0.0013 Runtime 45.8s
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.
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A single self-contained HTML file — copy it and open in any browser, or reuse the prompt with your own pi-agent run.
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METRICS
Transcript · 4 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.
I'll create a chaotic double pendulum simulation with the correct physics equations of motion. This is a classic problem in chaotic dynamics - I'll implement the Lagrangian mechanics properly.
/workspace/index.html (11304 bytes)Successfully wrote 11304 bytes to /workspace/index.html
The double pendulum simulation is ready at `/workspace/index.html`. Here's what it includes: **Physics (correct Lagrangian mechanics):** - Proper equations of motion derived from the Lagrangian `L = T - V` - RK4 integration with 8 sub-steps per frame for accuracy (chaotic systems diverge quickly with Euler) - Energy conservation can be verified via the on-screen display **Visuals:** - Two arms with gradient-shaded bobs (pink for m₁, green for m₂) - Rainbow-colored fading trail of the tip — hue cycles along the trail length with fading opacity - Slight motion-blur background clear for a glowing effect **Interactivity:** - **Sliders** for `m₁`, `m₂`, `L₁`, `L₂`, and trail length (update live) - **Drag either bob** with the mouse to set a new initial position - **Reset** button to restart with default initial conditions - **Pause/Resume** button Open `index.html` in a browser to watch deterministic chaos unfold.