Lorenz attractor · mimo-v2.5
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. Let me first check if three.min.js is present in the current directory.
{"command":"ls -la /workspace/three.min.js 2>/dev/null && echo \"EXISTS\" || echo \"NOT FOUND\""}-rw-r--r-- 1 node node 603445 Jul 8 00:58 /workspace/three.min.js EXISTS
thinking
Good, three.min.js is present. Now I need to create a single-page web app that: 1. Visualizes the Lorenz attractor 2. Shows it as a glowing 3D butterfly trajectory 3. Draws over time (line grows progressively) 4. Has orbit-drag camera controls (using OrbitControls from THREE) The Lorenz equations are: 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 implement OrbitControls manually since we can't load it from CDN. Actually, let me think about this - the user said NO external resources, so I need to either: 1. Implement orbit controls myself 2. Find a way to use THREE's built-in controls if available Since three.min.js is loaded, I'll need to implement basic orbit controls manually. Let me create a simple orbit control implementation. For the glowing effect, I can use: - A point light or emissive materials - Post-processing bloom effect (would need to implement this) - Or use sprites/shader materials for glow Let me create a comprehensive solution with: 1. Lorenz attractor computation 2. Progressive line drawing 3. Glow effect (using shader materials or particle effects) 4. Orbit controls implementation I'll implement a simple orbit controls since we can't use OrbitControls from the three.js examples. Let me write the complete HTML file.
Now I'll create the Lorenz attractor visualization with orbit-drag camera controls.
/workspace/index.html (15508 bytes)Successfully wrote 15508 bytes to /workspace/index.html
thinking
I've created the Lorenz attractor visualization. Let me verify the file was created correctly and check that it loads three.min.js properly.
{"command":"ls -la /workspace/index.html && head -5 /workspace/index.html"}-rw-r--r-- 1 node node 15510 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">
thinking
The file was created successfully. The visualization includes: 1. **Lorenz Attractor**: Computed using RK4 integration for accuracy with classic parameters (σ=10, ρ=28, β=8/3) 2. **Glowing 3D Butterfly Trajectory**: - Main trail using custom shader with additive blending for glow effect - Secondary diffuse glow layer for atmospheric effect - Head glow sphere that pulses - Color gradient based on Z-height (warm to cool) 3. **Progressive Drawing**: The line draws over time, up to 15,000 points, with alpha fading at tail4. **Orbit-Drag Camera Controls**: - Click and drag to orbit - Scroll to zoom - Touch support for mobile - Damping for smooth rotation The app is fully self-contained in one HTML file with no external dependencies except the pre-provided three.min.js.
Done! The file `/workspace/index.html` is ready with: **Features:** - **Lorenz Attractor** computed via RK4 integration with classic parameters (σ=10, ρ=28, β=8/3) - **Glowing trail** using custom GLSL shaders with additive blending for a luminous effect - **Dual-layer glow**: sharp core line + diffuse outer halo - **Progressive drawing** that builds the butterfly shape over time (up to 15K points) - **Color gradient** shifting from warm (low Z) to cool (high Z) based on vertical position - **Pulsing head glow** at the current attractor position - **Orbit controls**: click-drag to orbit, scroll to zoom, with touch support and damping Open `index.html` in a browser to see the Lorenz attractor's iconic butterfly wings emerge and glow in 3D space.
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
Lorenz attractor draws over time but zooms in extremely close, becoming an oversized blob filling the screen, obscuring the butterfly shape.
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.