Double pendulum · gemini-2.5-flash

Output generated Cost / run $0.0116 Runtime 29.3s

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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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

modelgemini-2.5-flash

vendorGoogle

harnesspi-agent

generated2026-07-22

METRICS

runtime29.3s

tokens in5.5k

tokens out4.0k

cached0

cost / run$0.0116

Transcript · 4 messages

user

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.

assistant

thinking

**Developing Chaotic Simulation**

I'm currently focused on crafting a self-contained, single-page HTML file for the chaotic double pendulum simulation. My efforts are directed towards integrating all HTML structure, CSS styling, and the core JavaScript simulation logic within this one file, ensuring no external dependencies.

**Refining Physics Engine**

I'm diligently working on the core physics for the double pendulum. Specifically, I'm implementing the derived equations of motion, focusing on correctly calculating the angular accelerations based on current angles and velocities. This is the critical step for generating the chaotic behavior.

**Implementing Equations of Motion**

I'm now focusing on translating the derived equations of motion into JavaScript. My current task is to accurately implement the calculations for angular acceleration based on the pendulum's state, ensuring the chaotic dynamics are correctly modeled.

I will now create the `index.html` file with the requested double pendulum simulation. This file will contain all the necessary HTML, CSS, and JavaScript.

→ write index.html (10327 bytes)

toolResult

Successfully wrote 10327 bytes to index.html

assistant

I have created the `index.html` file. It contains a self-contained single-page web application that simulates a chaotic double pendulum. The simulation includes: * **Correct equations of motion**: The JavaScript code implements the differential equations for a double pendulum. * **Dynamic rendering**: Arms and bobs are drawn on a canvas. * **Colorful fading trail**: The tip of the second pendulum leaves a colorful, fading trail. * **Controls**: Sliders are provided to adjust physical parameters (lengths, masses, gravity, time step) and a button to reset the pendulum to its initial state. * **No external resources**: All CSS and JavaScript are inline within the `index.html` file. You can now open this `index.html` file in a web browser to run the simulation.