# Parametric polygon synthesizer

This is one of set of applets designed to be a problem posing playground for teachers. The left hand panel shows the trajectory in space traced out by a moving object. The right hand panel shows the horizontal and vertical motions of that object as functions of time. The user can control - - the number of intervals during which the object moves with constant speed (links slider) - the times at which the speed of the object may change (white dots in right panel) - the horizontal position of the object at those instants of time (lower right panel) - the vertical position of the object at those instants of time (upper right panel) A suggested problem - Using 4 links, vary x(time) and y(time) so as to make a trajectory in the left panel that is a rhombus. Why does the shape of the trajectory not change when you vary the position of the white dots in the right panel? What does change? Why? What other problems could/would you pose to your students based on this applet?