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:

graph

It gets its name from the eye shape in the middle.