Butterfly Curve

There are many types of geometric curves that produce beautiful, intricate shapes. One of these is the butterfly curve, a type of geometric curve that was discovered by Temple Fay at the University of Southern Mississippi. The butterfly curve can be expressed relatively simply using an equation in polar coordinates:

When plotted, it produces the following graph, which bears much resemblance to a butterfly:

Sources used (see bibliography page for titles corresponding to numbers): 57.