Lorenz attractor · qwen3.5-122b-a10b
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 · 8 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. It should: 1. Draw over time (animate the trajectory) 2. Have orbit-drag camera controls 3. Use three.min.js which is already present in the current directory 4. Be completely self-contained in index.html with inline CSS and JS Let me first check if three.min.js exists in the current directory, then create the HTML file.
{"command":"ls -la /tmp/ws/"}total 592 drwxr-sr-x. 2 node node 26 Aug 1 20:11 . drwxrwsrwx. 3 root node 16 Aug 1 20:11 .. -rw-r--r--. 1 node node 603445 Aug 1 20:11 three.min.js
thinking
Good, three.min.js is present. Now I'll create the index.html file with the Lorenz attractor visualization. The Lorenz attractor is a classic chaotic system defined by: dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz With typical parameters: σ=10, ρ=28, β=8/3 I'll create: 1. A THREE.Scene with OrbitControls for camera interaction 2. A glowing line that draws over time showing the trajectory 3. Use a ShaderMaterial or custom glow effect for the "glowing" appearance 4. Animate the drawing process Let me write this self-contained HTML file.
index.html (20327 bytes)Successfully wrote 20327 bytes to index.html
thinking
The file has been created. Let me verify it exists and is complete.
{"command":"ls -la index.html && head -20 index.html && echo \"...\" && tail -10 index.html"}-rw-r--r--. 1 node node 20327 Aug 1 20:12 index.html <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Lorenz Attractor - Glowing Butterfly</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { overflow: hidden; background: #000; font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; } canvas { display: block; } ... camera.aspect = window.innerWidth / window.innerHeight; camera.updateProjectionMatrix(); renderer.setSize(window.innerWidth, window.innerHeight); }); // Start animation animate(); </script> </body> </html>
thinking
The file has been created successfully. Let me provide a summary of what was built.
Created `index.html` with a complete Lorenz attractor visualization featuring: **Features:** - **Glowing 3D butterfly trajectory** - Draws continuously using custom GLSL shaders with additive blending for the glow effect - **Dual-layer trail system**: Cyan glowing core + magenta outer trail with intensity decay - **Orbit-drag camera controls** - Custom implementation (no external dependency): - Left-click drag to rotate - Right-click drag to pan - Scroll wheel to zoom - **Animated starfield background** for depth - **Responsive design** - Handles window resize **Technical details:** - Uses THREE.BufferGeometry with ShaderMaterial for GPU-efficient rendering - Lorenz parameters: σ=10, ρ=28, β=8/3 (classic chaotic regime) - Point cloud rendering with dynamic sizing based on distance - Intensity fading creates trailing effect as points age - Max 50,000 points in the buffer with circular FIFO shifting Open `index.html` in a browser to see the mesmerizing butterfly wings form and evolve!
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 with orbit-drag rotating the camera view.
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.