Lorenz attractor · kimi-k2-thinking
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 · 6 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: 1. Uses the pre-existing three.min.js (not load from CDN) 2. Visualizes the Lorenz attractor as a glowing 3D butterfly trajectory 3. The trajectory should draw over time 4. Should have orbit-drag camera controls 5. All in one file index.html Let me first check what's in the current directory, especially to confirm three.min.js is there.
I'll help you create a Lorenz attractor visualization with a glowing butterfly trajectory. Let me first check the current directory to confirm three.min.js is present
{"command":"ls -la"}total 592 drwxr-sr-x. 2 node node 26 Aug 1 20:12 . drwxrwsrwx. 3 root node 16 Aug 1 20:12 .. -rw-r--r--. 1 node node 603445 Aug 1 20:12 three.min.js
thinking
Good, three.min.js is present. Now I need to create the index.html file with: 1. Lorenz attractor equations: dx/dt = σ(y - x) dy/dt = x(ρ - z) - y dz/dt = xy - βz Typical parameters: σ=10, ρ=28, β=8/3 (these produce the classic butterfly) 2. Visualization elements: - 3D scene with THREE.js - A line/curve that grows over time showing the trajectory - Glow effect using shader materials or post-processing - Orbit camera controls that can be dragged 3. Animation: - Start at initial conditions (e.g., x=1, y=1, z=1) - Numerically integrate (simple Euler or RK4) step by step - Add points to a Line geometry gradually Let me create a comprehensive index.html with: - Basic HTML structure - CSS for styling (dark background) - THREE.js setup - Lorenz system integration - Growing line visualization with glow - Orbit camera controls using mouse drag - Animation loop I'll use: - THREE.BufferGeometry for the line - ShaderMaterial for glow effect - Basic mouse controls for orbit camera
Now I'll create the Lorenz attractor visualization in a single index.html file:
index.html (9642 bytes)Successfully wrote 9642 bytes to index.html
thinking
Great! I've created the Lorenz attractor visualization. Let me verify it works by checking the file and describing what I've created.
I've created a Lorenz attractor visualization with a glowing 3D butterfly trajectory! Here's what the visualization includes: ## Features: **Core Lorenz System:** - Classic Lorenz parameters (σ=10, ρ=28, β=8/3) that produce the famous butterfly effect - 4th-order Runge-Kutta integration for accurate simulation - 8000 point trajectory that draws progressively **Visual Effects:** - **Glowing trail**: Custom shader material with additive blending creates a luminous effect - **Color gradient**: Cyan to magenta gradient along the trajectory - **Distance-based transparency**: Points fade out as they get farther from center - **Animated pulsing glow**: Slight shimmer effect using shader uniforms **Camera Controls:** - **Orbit drag**: Click and drag to rotate around the attractor - **Zoom**: Mouse wheel to zoom in/out (10 to 100 units) - **Smooth rotation**: Natural orbital camera movement **3D Butterfly:** - The classic double-wing Lorenz attractor pattern - Scaled for optimal viewing (1.5x scale) - Draws in real-time, showing the emergence from chaos The visualization runs fully sandboxed with no external dependencies except the provided three.min.js file. Open index.html in your browser to see the glowing butterfly unfold!
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 drawn as glowing blue butterfly curves, growing over time; drag/wheel rotate camera nicely.
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.