Animated tracing of a parametric curve, emphasizing the role of the parameter as time
This program animates the drawing of a user-defined parametric space curve r(t) = (x(t), y(t), z(t)) as the parameter t increases over time. Watching the curve being traced out emphasizes the role of the parameter as a kind of time variable and makes the velocity and acceleration of the parametrization visually apparent. The math.js library handles expression parsing.
Controls: Click and drag to orbit, scroll to zoom.