The user wants me to create a single-page web app with a 3D Rubik's Cube using three.min.js. The requirements are:

1. Single self-contained file named index.html
2. CSS in <style> tag
3. JS in <script> tag 
4. No external resources, CDNs or network requests
5. Use the provided three.min.js file
6. Features needed:
   - Interactive 3D Rubik's Cube
   - Clickable face rotations
   - Orbit-drag camera
   - Scramble button

I need to first check if three.min.js exists in the current directory, then create the index.html file with all the code inline.

Let me start by checking what files are in the current directory.

Great! The three.min.js file is available. Now I need to create a single HTML file that contains:

1. CSS styling in a <style> tag
2. JavaScript for the 3D Rubik's Cube in a <script> tag
3. HTML structure with the canvas and controls
4. Use the three.min.js file that's already present

The key features I need to implement:
- 3D Rubik's cube with 27 smaller cubes (3x3x3)
- Clickable face rotations
- Orbit controls for camera movement
- Scramble functionality
- Interactive controls

Let me create the index.html file with all the code inline.

Perfect! I've created a complete interactive 3D Rubik's Cube web app in a single HTML file. The app includes:

1. **3D Rubik's Cube**: A 3x3x3 cube with proper colors (Red, Orange, White, Yellow, Green, Blue)
2. **Interactive Controls**: 
   - Scramble button to randomly mix the cube
   - Reset button to return to solved state
   - Face rotation buttons for each face (F, B, U, D, L, R) with inverse options
3. **Camera Controls**: Mouse drag to orbit around the cube
4. **Visual Design**: Modern gradient background, glass-morphism UI, smooth animations
5. **Responsive**: Adapts to window resizing

The app uses the provided three.min.js file and runs completely standalone with no external dependencies. All CSS and JavaScript is inline as requested.

Key features implemented:
- Proper Rubik's cube mechanics with face rotations
- Smooth animations for rotations
- Orbit camera controls
- Modern UI with backdrop blur effects
- No external resources or network requests

The file is now ready to use!