Double pendulum · mimo-v2.5
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.
thinking
The user wants a double pendulum simulation on a canvas with proper equations of motion, drawing arms and a fading trail of the tip. This is a physics simulation that requires: 1. The correct coupled differential equations for a double pendulum 2. Numerical integration (Runge-Kutta 4th order would be nice) 3. Canvas rendering with arms drawn and a colorful fading trail Let me write this as a single self-contained HTML file. The equations of motion for a double pendulum (from Lagrangian mechanics): For the double pendulum with masses m1, m2, lengths l1, l2, angles θ1, θ2: I'm setting up the coupled differential equations where the angular accelerations depend on both angles and velocities through complex trigonometric relationships. Now I'll implement this with RK4 integration and a colorful fading trail effect.
/workspace/index.html (7039 bytes)Successfully wrote 7039 bytes to /workspace/index.html
thinking
The file has been written. Let me verify it's there.
Done — `index.html` is written and self-contained. Here's what it does: **Physics** - Solves the full coupled Lagrangian equations of motion for the double pendulum - Uses **4th-order Runge-Kutta** integration (4 sub-steps per frame) for numerical stability **Rendering** - Draws the two arms from pivot → mass 1 → mass 2 (tip) - Maintains an 800-point **color-cycling HSL trail** behind the tip that fades with age - Adds a radial glow at the tip; each mass gets a subtle gradient **Interactions** - **Click anywhere** to fling the pendulum toward/away from that point - **Reset** — back to a fixed starting position - **Randomize** — random angles and velocities for chaotic new orbits - **Trail On/Off** — toggle the trail
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 simulates chaotic motion with colorful fading trail forming symmetric mandala patterns over time.
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.