User:EZ132/Eye curve

The Eye curve is a trisectrix defined by the following parametric equations:$$\begin{array}{ccc} x & = & \csc(t)-\frac{\cos(t)}{\tan(3t)} \\ y & = & \frac{\sin(t)}{\tan(3t)} \end{array}$$

Graph
The graph of the eye curve looks like the following: It gets its name from the eye shape in the middle.