Wrap a string p times one way and q times the other way around a donut and you get a (p,q) torus knot. On a 3D donut the string must crowd through the hole. On the 4D Clifford torus the surface is perfectly flat — the knot winds with constant speed, no pinching, no stretching: its most natural form.
The orange curve is the knot; the faint blue ghost is the p×q duoprism whose vertices the knot threads through — the same construction, discrete and continuous.
Set the spins equal: the double rotation's flow is tangent to the knot, so it slides along itself like a self-propelled loop. Try (2,3) — the trefoil — then large coprime pairs like (5,7).