3D — knot on torus
drag to rotate · wheel to zoom
Parameter strip — (θ,u)
τ stretches u; vertical spikes at sin(qt)=±1
Bold (p,q) torus knot on a softmax torus (left), with its parameter-strip trace (θ,u) (right). Temperature τ rescales the grid and the vertical scale of u; the 3D knot itself is invariant.