Parametric curves winding around a torus — p times longitude, q times meridian
2
3
140
55
3
0.6
About: A torus knot T(p,q) is a knot that lies on the surface of a torus, winding p times around the longitude and q times around the meridian. The parametric equations are x=(R+r·cos(qt))cos(pt), y=(R+r·cos(qt))sin(pt), z=r·sin(qt) for t∈[0,2π]. T(2,3) is the trefoil knot — the simplest non-trivial knot. Two torus knots T(p,q) and T(p',q') are equivalent iff {p,q}={p',q'} as sets (Alexander-Briggs, 1926). Torus knots are classified by their p,q winding numbers with gcd(p,q)=1.