Lorenz attractor · qwen3.5-397b-a17b
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 using three.js. The three.min.js file is already present in the current directory. I need to: 1. First, let me check if three.min.js exists in the current directory 2. Create a self-contained index.html file with: - CSS in a <style> tag - JS in a <script> tag - Use the local three.min.js file - Visualize the Lorenz attractor as a glowing 3D butterfly trajectory - Include orbit controls for camera manipulation 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 Let me first check the current directory and 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. I need to include: 1. OrbitControls - I'll need to implement this since it's typically a separate file from three.js. I can either include a simplified version or implement basic orbit controls myself. 2. The Lorenz attractor simulation with: - A glowing trail/line that draws over time - Butterfly-like shape - Animation that shows the trajectory being drawn Let me create a comprehensive single-file HTML app.
/tmp/ws/index.html (15719 bytes)Successfully wrote 15719 bytes to /tmp/ws/index.html
thinking
The file has been created successfully. Let me verify it exists and show the user what was created.
{"command":"ls -la /tmp/ws/"}total 608 drwxr-sr-x. 2 node node 44 Aug 1 20:12 . drwxrwsrwx. 3 root node 16 Aug 1 20:11 .. -rw-r--r--. 1 node node 15724 Aug 1 20:12 index.html -rw-r--r--. 1 node node 603445 Aug 1 20:11 three.min.js
thinking
The index.html file has been created successfully. Let me provide a summary of what was built.
Created `index.html` with a complete Lorenz attractor visualization featuring: **Visual Elements:** - Glowing 3D butterfly trajectory that draws over time - Color gradient along the trail (cyan to blue-white) - Glowing particle at the current position - Coordinate axes and center reference sphere - Dark space-like background **Orbit Controls:** - **Left-click + drag**: Rotate camera around the attractor - **Right-click + drag**: Pan the view - **Scroll wheel**: Zoom in/out **Interactive Controls:** - **Simulation Speed**: Adjust how fast the trajectory draws (1-50) - **Glow Intensity**: Adjust the glow effect brightness - **Trail Length**: Control how many points are kept (1000-15000) - **Reset Button**: Restart the simulation from the beginning **Stats Display:** - Live point count - Elapsed time The Lorenz system uses classic parameters (σ=10, ρ=28, β=8/3) to produce the iconic butterfly-shaped chaotic attractor. Open `index.html` in a browser to view it.
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 progressively over time with orbit camera rotating via drag/wheel/keys, matching the prompt 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.