I'll create a single-page web app that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory with orbit-drag camera controls using Three.js.

I've created a single-page web application that visualizes the Lorenz attractor as a glowing 3D butterfly trajectory with orbit-drag camera controls. The implementation uses Three.js to: 1. Create a 3D scene with a black background 2. Set up a perspective camera with orbit controls for interactive viewing 3. Implement the Lorenz equations (dx/dt = σ(y-x), dy/dt = x(ρ-z) - y, dz/dt = xy - βz) with standard parameters (σ=10, ρ=28, β=8/3) 4. Use Euler integration to update the trajectory over time 5. Render the path as a glowing line with cyan color 6. Add a subtle glow effect using a shader material 7. Include responsive design with window resize handling The result is an interactive visualization of the Lorenz attractor that forms the characteristic "butterfly" pattern in 3D space, with smooth orbit controls allowing users to explore the trajectory from different angles. The file is now saved as index.html and can be opened directly in any modern browser.