Lorenz attractor · glm-4.7-flash
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
transcript · 4 messages
Using the pre-provided three.min.js (global THREE), visualize the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls.
thinking
The user wants me to create a single-page web app that: 1. Uses the pre-provided three.min.js file (global THREE) 2. Visualizes the Lorenz attractor as a glowing 3D butterfly trajectory 3. The trajectory should draw over time 4. Has orbit-drag camera controls Let me create this as a single HTML file with everything inline. I'll need to: 1. Load three.min.js from the local file 2. Set up a basic scene with orbit controls 3. Implement the Lorenz attractor math 4. Create a glowing effect for the trajectory 5. Animate it drawing over time The Lorenz attractor is a set of chaotic dynamical equations: - dx/dt = σ(y - x) - dy/dt = x(ρ - z) - y - dz/dt = xy - βz Typical values: σ=10, ρ=28, β=8/3 For orbit controls, I'll need to implement basic orbit controls since we're only using three.min.js (not OrbitControls separately). Or I can implement simple orbit controls manually. Let me create the file.
index.html (11353 bytes)Successfully wrote 11353 bytes to index.html
thinking
I've created the Lorenz attractor visualization. Let me verify the file was created correctly and check if there are any issues.
Done! I've created `index.html` with: **Features:** - **Glowing butterfly trajectory** - The Lorenz attractor rendered as a continuous line with a pink-to-purple gradient that mimics a glowing effect - **Orbit-drag controls** - Click and drag to orbit around the attractor, scroll to zoom - **Dynamic drawing** - The butterfly draws itself over time using the Lorenz equations - **Particle system** - Glowing particles trail behind the drawing head - **Reference grid** - Subtle grid for spatial reference - **UI controls** - Reset view button and pause/play toggle - **Touch support** - Works on mobile devices too **The Lorenz equations used:** ``` dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz ``` With parameters σ=10, ρ=28, β=8/3 that create the classic butterfly shape. **Controls:** - **Drag** to rotate around the attractor - **Scroll** to zoom in/out - **Reset View** to reset camera position and clear the drawing - **Pause** to freeze the animation The visualization runs fully sandboxed with no external dependencies beyond the local `three.min.js` file.
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
Glowing pink Lorenz attractor draws over time; drag/wheel rotate and zoom camera nicely, keys have little effect.
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.