Torus Flow
Geodesics and flows on a torus. When the ratio p/q of two frequencies is irrational, the orbit never closes — it densely covers the entire surface (ergodic flow). Drag to rotate.
p (toroidal ω)
3.0
q (poloidal ω)
7.0
R (major)
2.0
r (minor)
0.60
Trail length
2000
Torus knot T(p,q): winds 3 times toroidally, 7 times poloidally.
Closed if p/q rational — a knot! Irrational → dense orbit.