This demo includes three graphical display windows.

The window "Curve: X(t)" displays the curve X(t), the point X(t0), the unit tangent, unit normal, and unit binormal vectors T(t0), P(t0), and B(t0), the osculating sphere to the curve at X(t0), and the center of the osculating sphere, C(t0).

The windows "Curvature(t)" and  "Torsion(t)" graph the curvature and torsion, respectively, of X(t). Note the dependence of the radius of the sphere on these two quantities.

You can change t0 and X(t) in the control window. The control window includes a list of functions that you can use for X(t), along with parameters used to define those functions.