This demo includes three graphical display windows.

The window "Curve: X(t)" displays the curve X(t), the point X(t_{0}),
the unit tangent,
unit normal, and unit binormal vectors T(t_{0}),
P(t_{0}), and B(t_{0}), the osculating sphere to the
curve at X(t_{0}), and the center of the osculating sphere, C(t_{0}).

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 t_{0} 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.