Created by Atul Varma
A parameterization of a curve in the plane is a pair of functions, X = x(t) and Y = y(t), that describe the motion of a particle in the plane. The function x(t) serves the same role as the left-hand dial on the Etch A Sketch; it describes the motion of the particle in the x-direction. The function y(t), like the right-hand dial, dictates the motion in the y-direction. At any given value of time t, the pair (x(t), y(t)) determines the particle's exact location at that time.
As you will soon discover, MAPLE's parametric plotting capabilities are more conducive to creative doodling than those familiar white dials ever were. In fact, by working through each of the sections listed below, you will learn how to draw almost anything you wish. In the final section of this project, you will then be asked to show off your new skills by creating your own elaborate doodle.
Published June, 2004