We need to create index.html with a single page using three.min.js present locally. Visualize Lorenz attractor, glowing 3D butterfly trajectory that draws over time, orbit-drag camera controls. Use Three.js. Need to include three.min.js via <script src="three.min.js"></script>. We'll write index.html with inline CSS and JS.

We need to implement Lorenz equations, generate points over time, draw as line that grows. Use THREE.Line with BufferGeometry, updating vertices over time. Use OrbitControls for camera (but three.min.js may not include OrbitControls; we can implement simple orbit drag manually using mouse events). Since no external libs, we must implement orbit controls ourselves.

We'll create scene, camera, renderer. Add ambient light and maybe point light for glow. Use a custom shader material for glowing line? Simpler: use THREE.LineBasicMaterial with color and opacity, and maybe add a bloom effect? But no post-processing libs. Could use additive blending and a slight glow via a sprite? We'll just use Line with color and maybe a shader for glowing? Could use MeshLine? But limited.

Simplify: Use THREE.Line with THREE.LineBasicMaterial, set transparent true, opacity 0.8, color 0x00ffff, blending THREE.AdditiveBlending for glow.

Implement camera orbit: on mousedown record start angles, rotate around target.

Implementation steps:

- Initialize scene, camera (perspective), renderer (canvas full window).
- Add OrbitControls logic: variables: isMouseDown, mouseX, mouseY, spherical coordinates (radius, phi, theta). On mousemove if down, update theta, phi. On wheel adjust radius.
- Update camera position from spherical to cartesian looking at target (0,0,0).

- Lorenz parameters: sigma=10, rho=28, beta=8/3. dt=0.01. Starting point (0.1,0,0). Generate points each frame maybe 10 steps per frame to speed.

- Maintain array of positions (Float32Array) max capacity maybe 100000 points. Keep index count. Use BufferGeometry with dynamic draw. Each frame add new points, update geometry.setDrawRange(0, count). geometry.attributes.position.needsUpdate = true.

- Use requestAnimationFrame loop.

- Add resizing.

- CSS: full screen canvas, hide overflow.

All in one index.html.

Write file.

Check that three.min.js exists in current dir; we just include it.

Let's craft.

We have created index.html. Need to ensure three.min.js exists in workspace; assume it is present. The code uses THREE.MathUtils which is available in three.js. Good. Provide final answer summarizing.