Tesseract: 4D Hypercube

A 4-dimensional hypercube rotating in four dimensions, projected to your screen. 16 vertices, 32 edges, 24 faces, 8 cells.

XY / XZ Rotation

ω_XY: 0.5 rad/s ω_XZ: 0.3 rad/s

XW / YW Rotation

ω_XW: 0.7 rad/s ω_YW: 0.2 rad/s

ZW Rotation & Style

ω_ZW: 0.4 rad/s W-perspective: 2.0

Tesseract (Hypercube): The 4D analog of a cube. To rotate in 4D, we apply rotation matrices in the 6 independent planes: XY, XZ, XW, YZ, YW, ZW. Perspective projection from 4D→3D→2D creates the characteristic "cube within a cube" appearance. As it rotates, the inner and outer cubes continuously trade places.