Double pendulum · ling-2.6-1t
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.
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 single-page web app that simulates a chaotic double pendulum with proper equations of motion, drawing the arms and a colorful fading trail of the tip.
/tmp/ws/index.html (16069 bytes)Successfully wrote 16069 bytes to /tmp/ws/index.html
I've created a self-contained HTML file that simulates a chaotic double pendulum with: **Physics:** - Correct equations of motion derived from Lagrangian mechanics - RK4 (Runge-Kutta 4th order) integration for numerical stability - Conservation of energy monitoring - Two equal-mass bobs with equal-length arms under gravity **Visual Features:** - Smooth gradient background with subtle grid - Colorful fading trail behind the tip that follows a hue gradient over time - Glowing bobs with radial gradients - the tip has a pulsing outer glow - Gradient-colored pendulum arms - Small phase-space indicator in the corner - Real-time energy and angle display **Interactions:** - **Click** anywhere on the canvas to reset with random initial conditions - **New Random** button to randomize initial angles/velocities - **Toggle Trail** to show/hide the fading trail - **Pause** button to freeze the simulation The simulation demonstrates chaotic behavior - tiny changes in initial conditions lead to dramatically different trajectories over time, which is the hallmark of deterministic chaos in double pendulum systems.
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
EVALUATION
Double pendulum animates chaotically with colorful fading trail; click/drag reset simulation with new random energy.
Vision grade · anthropic/claude-sonnet-5
MEASUREMENTS
Raw readings from the capture, not a verdict — the grade above is the only judgement. Percentages are how much of the screen changed; the measure under-reports sparse motion on a dark background.