Visualization of the 3-sphere (S³) rendered via stereographic projection. The camera view is an SO(4) isometry, applied as s⋅p⋅t for each point p.

Controls

W/S pitch   A/D yaw
Q/E roll   ↑/↓ move

View transform

s: 1 + 0i + 0j + 0k
t: 1 + 0i + 0j + 0k
s = left quaternion, t = right quaternion
press H to hide