Torus Knots

grabcad

The 5th model of a set of models based upon mathematical concepts. The (p,q)-torus knot can be given by the below parametric equations: x(t) = [a*sin(q*t)+d]*sin(p*t) y(t) = [a*sin(q*t)+d]*cos(p*t) z(t) = a*cos(q*t) where t varies between 0 and 2*Pi By changing the values of (a,d,p,q), you'll obtain eye-catching 3D curves which simply by using only sweep feature and a circle as a profile in any CAD tool, you can create these beautiful shapes. I've created some of them in Solidworks and uploaded here with naming pattern as for instance Torus Knot (25,40,2,3) which indicates that a=25, d=40, p=2 and q=3. Modeling tool: SOLIDWORKS 2013 Rendering tool: KeyShot 4