Lorenz attractor · glm-5
Output generated Cost / run $0.0091 Runtime 52.8s
Prompt for this run
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.
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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METRICS
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 3D visualization of the Lorenz attractor using Three.js. The Lorenz attractor is a famous chaotic system that creates a butterfly-shaped trajectory. I need to: 1. Use the pre-provided three.min.js library (loaded as a script tag) 2. Create a glowing 3D butterfly trajectory that draws over time 3. Implement orbit/drag camera controls 4. Make it a single self-contained index.html file Let me create this visualization with: - The Lorenz system equations (dx/dt, dy/dt, dz/dt) - A line that draws progressively over time - Glowing effect (using line material with emissive or bloom-like effect) - OrbitControls for camera interaction - Nice visual styling Since no external resources are allowed, I'll need to implement orbit controls manually or use a simple mouse drag camera system.
index.html (14064 bytes)Successfully wrote 14064 bytes to index.html
thinking
I've created the Lorenz attractor visualization. Let me verify the file was created correctly.
I've created a self-contained `index.html` with a glowing 3D Lorenz attractor visualization. Here's what it includes: **Features:** - **Lorenz system simulation** with classic parameters (σ=10, ρ=28, β=8/3) - **Progressive drawing** - the butterfly trajectory draws over time (15,000 points at 5 points/frame) - **Glowing effect** using additive blending with custom shaders: - Cyan-to-magenta gradient along the trajectory - Pulsing glow animation - White/yellow core line for brightness - Trailing particle points that follow the path - **Ambient background particles** for depth - **Orbit camera controls**: - **Drag** to rotate around the attractor - **Scroll** to zoom in/out - Touch support for mobile - Gentle auto-rotation when idle **Visual style:** - Dark blue-black background with fog - Neon cyan and magenta color scheme - Additive blending for glowing appearance - 3D butterfly shape emerges organically as the chaotic trajectory unfolds Open `index.html` in a browser to see the attractor drawing itself in real-time with smooth camera controls.