Double pendulum · gemini-3.1-flash-lite-preview
Output generated Cost / run $0.0042 Runtime 8.6s
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.
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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.
thinking
**Developing the Core Simulation** I'm now focused on the foundational equations of motion and how best to implement them. My priority is accuracy, and I'm leaning toward Runge-Kutta for this simulation. Visual elements like the arms and fading trail are on the to-do list, but getting the physics right first is paramount. Colorful trails are definitely envisioned. **Defining the Model's Structure** I've decided to build this as a self-contained HTML5 `<canvas>` application, avoiding external libraries for simplicity. The CSS will handle centering and styling. The JavaScript will manage the physics state, animation loop, calculations, and drawing. I'm focusing on defining the key variables, including angles, angular velocities, masses, and lengths, needed to calculate the double pendulum equations of motion via Lagrange's formulation. I'm now implementing the standard double pendulum acceleration formulas.
index.html (3641 bytes)Successfully wrote 3641 bytes to index.html
The double pendulum simulation is complete and contained in `index.html`. It uses the Lagrangian equations of motion for a double pendulum, rendered on an HTML5 canvas with a fading, cycle-shifting trail. To view the simulation, open `index.html` in your web browser.