Lorenz attractor · qwen3.6-plus
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 build a single-page web app that visualizes the Lorenz attractor using Three.js (three.min.js is already present in the current directory). Let me first check that three.min.js exists, then build the index.html file. The Lorenz attractor is defined by the differential equations: dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz Classic parameters: σ = 10, ρ = 28, β = 8/3 I need to: 1. Create a 3D visualization using Three.js 2. Draw the Lorenz attractor trajectory over time 3. Make it glow 4. Add orbit camera controls 5. All in one file, no external resources Since there are no external CDN resources, I need to implement orbit controls manually. Three.js OrbitControls is typically a separate file, so I'll need to implement basic orbit controls myself. Let me check that three.min.js is available first.
{"command":"ls -la /tmp/ws/three.min.js"}-rw-r--r--. 1 node node 603445 Aug 1 17:47 /tmp/ws/three.min.js
thinking
Three.js is present. Now I need to build a single-page Lorenz attractor visualization with: 1. Three.js for 3D rendering 2. Lorenz attractor equations 3. Glowing effect (using additive blending, bloom-like post-processing or simple sprite glow) 4. Butterfly trajectory drawn over time 5. Orbit controls for camera - I need to implement basic orbit controls manually since we only have three.min.js (no OrbitControls addon). Actually, three.min.js might include OrbitControls in some builds, but typically it doesn't. I'll implement a simple custom orbit camera. 6. No external resources For the glow effect without post-processing libraries, I can use: - A tube geometry with emissive material - Multiple overlapping line geometries with varying opacity - Point sprites along the trajectory with additive blending - A custom glow shader on tube geometry Let me build a comprehensive visualization: - Lorenz attractor computed with RK4 integration - Tube geometry for the main trajectory - Particle system along the path for glow effect - Custom orbit controls - Nice color gradient (butterfly colors) - Animated drawing over time
/tmp/ws/index.html (15875 bytes)Successfully wrote 15875 bytes to /tmp/ws/index.html
thinking
The user asked me to build a single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory that draws over time, with orbit-drag camera controls. I've created index.html with: 1. Three.js loaded from the local three.min.js file 2. Lorenz attractor computed with RK4 integration 3. Glowing particle system with custom shaders 4. Tube/line rendering showing the trajectory 5. Custom orbit camera controls (drag to rotate, scroll to zoom, touch support) 6. Warm color palette that looks like a butterfly 7. UI controls (reset, pause, speed slider) 8. FPS counter and point counter 9. All self-contained in one file Let me verify the file exists and is complete.
{"command":"wc -l /tmp/ws/index.html && head -5 /tmp/ws/index.html && echo \"---\" && tail -5 /tmp/ws/index.html"}483 /tmp/ws/index.html <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> --- animate(performance.now()); })(); </script> </body> </html>
thinking
The file was written successfully and is a complete single-page HTML file. Let me verify that the structure is correct by checking that there are no obvious syntax errors.
`index.html` is ready in `/tmp/ws/`. Here's what it does: **Lorenz Attractor Visualization:** - **RK4 integration** of the Lorenz system (σ=10, ρ=28, β=8/3) precomputed to 120,000 points - **Glowing trajectory** drawn progressively over time using three layers: 1. **Additive-blended line tube** — warm amber-to-orange gradient coloring 2. **Glow particles** — canvas-generated radial gradient sprites with pulsing animation, sized by local velocity 3. **Soft halo layer** — larger, dimmer points for atmospheric bloom **Orbit-Drag Camera Controls (custom, no dependencies):** - **Click + drag** to rotate the camera around the attractor - **Scroll wheel** to zoom in/out - **Touch pinch** to zoom on mobile - Inertia damping with gentle auto-rotation when idle **Controls:** - **Reset** — restarts the trajectory from the beginning - **Pause/Play** — toggles animation - **Speed slider** — controls draw speed (1–20×) **Zero external dependencies** — three.js loaded from local `three.min.js`, everything else is self-contained.
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 Lorenz attractor draws over time with orbit-drag rotation and zoom via wheel; keyboard has no extra 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.