
Torus Knots
grabcad
The fifth model in this mathematical series features the (p,q)-torus knot, defined by parametric equations x(t), y(t), and z(t) with t varying between 0 to 2π. By adjusting parameters a, d, p, and q, striking 3D curves result. These shapes can be easily created using CAD tools like sweeping a profile circle. Some examples have been made in Solidworks 2013 and rendered with KeyShot 4, labeled according to their parameter values, such as "Torus Knot (25,40,2,3)".
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