Lorenz attractor · minimax-m2.7
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 · 10 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 visualization of the Lorenz attractor using Three.js. Let me first check what's in the current directory to confirm three.min.js is present, then create the index.html file with the visualization. Key requirements: 1. Lorenz attractor visualization 2. Glowing 3D butterfly trajectory 3. Draws over time (animation) 4. Orbit-drag camera controls 5. Use the pre-provided three.min.js 6. Self-contained single HTML file
{"command":"ls -la /workspace/"}total 644 drwxrwxrwx 3 node node 96 Jul 8 00:57 . drwxr-xr-x 1 root root 4096 Jul 8 00:57 .. -rw-r--r-- 1 node node 603445 Jul 8 00:57 three.min.js
thinking
Good, three.min.js is present. Now I'll create the index.html file with: 1. Lorenz attractor system (σ=10, β=8/3, ρ=28) 2. Glowing line/tube geometry that draws over time 3. OrbitControls for camera manipulation 4. Post-processing bloom effect for glow 5. Dark background Let me build this comprehensive visualization.
/workspace/index.html (11481 bytes)Successfully wrote 11481 bytes to /workspace/index.html
thinking
Good, I've created the index.html file with a Lorenz attractor visualization. Let me verify the file exists and check for any issues.
{"command":"ls -la /workspace/index.html && echo \"---\" && head -20 /workspace/index.html"}-rw-r--r-- 1 node node 12830 Jul 8 00:58 /workspace/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 — The Butterfly Effect</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { overflow: hidden; background: #000; font-family: 'Courier New', monospace; } canvas { display: block; } #info { position: absolute; bottom: 24px; left: 50%; transform: translateX(-50%); color: rgba(255, 180, 100, 0.7);
thinking
The file was created successfully. Let me verify the Three.js file loads correctly and the file structure is correct by checking the end of the file.
{"command":"tail -20 /workspace/index.html"}const pulse = 0.8 + 0.2 * Math.sin(frame * 0.03); trailMat.opacity = 0.85 * pulse; glowMat1.opacity = 0.5 * pulse; glowMat2.opacity = 0.3 * pulse; renderer.render(scene, camera); } // ─── Resize Handler ──────────────────────────────────────────────────────── window.addEventListener('resize', () => { camera.aspect = window.innerWidth / window.innerHeight; camera.updateProjectionMatrix(); renderer.setSize(window.innerWidth, window.innerHeight); }); // ─── Kick off ────────────────────────────────────────────────────────────── animate(); </script> </body> </html>
thinking
The file looks good. It has: 1. Complete HTML structure with CSS styling 2. Three.js loaded from the local three.min.js 3. Lorenz attractor computation with proper parameters (σ=10, β=8/3, ρ=28) 4. Glowing trajectory using tube geometry and sprite-based glow 5. Orbit-drag camera controls (manual implementation) 6. Animation that draws the trail over time 7. Touch support 8. Resize handling The visualization is self-contained and should work properly in a browser.
Created `/workspace/index.html` — a self-contained Lorenz attractor visualization featuring: - **Lorenz dynamics** — σ=10, β=8/3, ρ=28, RK-like Euler integration over 12,000 points - **Glowing butterfly trajectory** — bright `MeshBasicMaterial` tube + layered additive-blend sprites for halo glow, pulsing in intensity - **Draws over time** — trail grows from 100 → 4,000 visible points at 8 pts/frame, then persists - **Orbit-drag camera** — smooth mouse/touch drag with inertia, scroll-wheel zoom, and subtle auto-rotation - **Atmosphere** — fog, ambient star particles, faint axis guides, ACES filmic tone mapping Open `index.html` directly in a browser. Drag to orbit, scroll to zoom.
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 butterfly-shaped Lorenz attractor draws over time, orbit drag and wheel zoom both work well.
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.