Torus Knot Visualizer

Knot Parameters

p (winds around tube): 3 q (winds around hole): 2 Torus major radius R: 160 Torus minor radius r: 60 Rotation speed: 1.0x

x = (R + r·cos(q·t))·cos(p·t)
y = (R + r·cos(q·t))·sin(p·t)
z = r·sin(q·t)

T(3,2) = Trefoil knot

A T(p,q) torus knot winds p times around the torus longitude and q times around its meridian. GCD(p,q)=1 for a knot; GCD>1 gives a link. Trefoil T(2,3) is the simplest non-trivial knot — it is chiral (not isotopic to its mirror image).