About Hypercube Ecosystem
How it works
The tesseract's 16 vertices are defined in 4D coordinates and transformed using 4D rotation matrices parameterized by six angles (one per rotation plane). Each angle is driven by a different audio feature. After rotation, vertices are projected from 4D to 3D using perspective projection along the W axis, then from 3D to 2D using the standard camera projection. Edges are rendered as glowing line segments using cylindrical billboard geometry with emissive materials. Vertex markers are rendered as instanced sphere meshes with size modulated by 4D depth (W coordinate). An optional inner cube rendering shows the 3D "shadow" of the 4D rotation.
Audio Features
- ▸ Bass Energy
- ▸ Mid Energy
- ▸ High Energy
- ▸ Spectral Centroid
Best For
- ▸ Math & Physics Content
- ▸ Experimental Electronic
- ▸ Tech Presentations
- ▸ IDM & Glitch
MusicMind Engine
Tension Analysis (L4) drives the primary 4D rotation angle from harmonic tension curves, Timbral Fingerprint (L10) maps secondary rotation planes to spectral brightness, and Temporal Memory (L12) accumulates rotation history for smooth transitions between musical passages.
Learn how MusicMind analyzes music →