A parametric curve is given by three functions, x(t), y(t), z(t). The curve itself is plotted as well as a moving point with its Frénet frame, the tangent vector, the osculating plane and circle at this point. The norms of the velocity vector, the value of the torsion are displayed.

Change the current point, observe the position of the curve relative to the osculating circle (it passes from one side to the other at a generic point). You can choose typical polynomials.