Lorenz attractor · glm-4.5
Output generated Cost / run $0.0126 Runtime 66.3s
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 single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory. Let me break down the requirements: 1. Single HTML file with inline CSS and JS 2. Use the provided three.min.js (already in the directory) 3. Lorenz attractor visualization - a butterfly-shaped strange attractor 4. Glowing trajectory that draws over time 5. Orbit-drag camera controls (I'll implement this manually since I can't use external libraries) The Lorenz attractor is defined by these differential equations: dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz Where typical values are: σ = 10, ρ = 28, β = 8/3 I'll create: 1. A Three.js scene with a black background 2. A glowing line that traces the attractor path over time 3. Manual orbit controls for camera rotation/zoom 4. A nice glow effect using additive blending and maybe multiple line layers Let me write this out:
I'll create a glowing 3D Lorenz attractor visualization with orbit-drag camera controls. Let me build this single-page app.
/tmp/ws/index.html (15267 bytes)Successfully wrote 15267 bytes to /tmp/ws/index.html
thinking
Done! I've created a complete single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory. Here's what I built: **Features:** - **Lorenz Attractor**: Uses the classic differential equations (σ=10, ρ=28, β=8/3) to generate the butterfly-shaped strange attractor - **Glowing Trajectory**: Multiple line layers with additive blending create a beautiful glow effect - a bright core with softer outer halos - **Dynamic Drawing**: The trajectory draws in real-time, tracing the chaotic path - **Color Gradient**: Colors cycle through cyan, magenta, yellow, green, and orange along the path - **Particle Effects**: Trail particles and ambient background particles add depth - **Orbit-Drag Controls**: Custom mouse/touch controls for rotating and zooming the camera - **Bright Leading Point**: A glowing sphere marks the current head of the trajectory - **Responsive**: Handles window resize **Technical Details:** - Uses the provided three.min.js (loaded via script tag) - All CSS and JS inline in a single HTML file - No external resources or CDNs - Additive blending for the glow effect - BufferGeometry for efficient line rendering with up to 15,000 points
I've created a stunning 3D Lorenz attractor visualization with the following features: **Visual Effects:** - **Glowing butterfly trajectory** with multiple glow layers (core + 3 outer halos) using additive blending - **Dynamic color gradient** cycling through cyan, magenta, yellow, green, and orange - **Bright leading point** with pulsing glow that follows the current trajectory position - **Trail particles** that follow the path with subtle scatter - **Ambient background particles** for depth and atmosphere **Interactive Controls:** - **Orbit-drag**: Click and drag to rotate the camera around the attractor - **Scroll/pinch**: Zoom in and out - **Touch support**: Works on mobile devices - **Auto-rotation**: Subtle rotation when not interacting **Technical:** - Lorenz equations: σ=10, ρ=28, β=8/3 - Up to 15,000 trajectory points with real-time drawing - Efficient BufferGeometry for smooth rendering - Fully self-contained with no external dependencies Open `index.html` in a browser to see the glowing butterfly unfold in 3D space!