Fun Graphs Generated by Trigonometric Parametric Equations

Wang Muran
By setting different values for a, b, c, d, m and n, user may explore various curves generated by the parametric equations. You may 1. manually adjust the value of t, to see how the points (x, y) are generated accordingly, 2. turn on the animation to see the process of generating the graph, 3. set the range of the parameter to investigate the impact on the shape of the graph.
Find the most beautiful graph to you and its equations. Share your findings with your friends!