**Exploring Three.js Capabilities**

I'm starting by verifying the presence and version of `three.min.js`. My next step is to outline the essential features for a high-quality interactive 3D Rubik's Cube, beginning with the core representation and geometry of the cube itself.

**Defining Cube Geometry**

I'm focusing on the precise geometry for each cubie, aiming for realism with beveled edges and distinct sticker planes. I'm also establishing the standard Rubik's colors and exploring how to render the dark plastic material effectively, prioritizing visual fidelity.

**Implementing Interactive Controls**

I'm now working on detecting user input for cube manipulation. This involves raycasting to identify sticker interactions, projecting drag vectors onto rotation axes, and implementing smooth, intuitive rotations with snapping or gesture-based animations. I'm also designing the orbit-drag camera controls and planning UI elements like scramble and solve buttons.

**Developing Advanced Features**

I'm now integrating undo/redo functionality and exploring solver algorithms for step-by-step animated solutions. I'm also designing interactive notation buttons with visual cues and implementing a WCA-style timer with inspection. Customization options like animation speed and color schemes are also being considered.

**Adding Visual & Auditory Enhancements**

I'm now integrating a floor shadow for better depth perception and exploring guide overlays with helper arrows. I'm also synthesizing crisp mechanical click and cube turn sound effects using the Web Audio API.