On this project we used Desmos.com to plot graphs.  On the graph above I just used equations such as "r=45sin6 theta" and "r=8cos4theta" to create the flower petal type graphs. On the bottom graph I used those along with equations such as "r=4theta" and"r=12theta".  These type of equations make the spirals that you see in graph 2 below.  This project was interesting, informative and all around fun! Thanks Desmos!