The second is obtained by taking the

cross section of the
heart surface and relabeling the

-coordinates as

, giving the order-6
algebraic equationThe third curve is given by the
parametric equationswhere
![t in [-1,1]](http://mathworld.wolfram.com/images/equations/HeartCurve/Inline10.gif)
(H. Dascanio, pers. comm., June 21, 2003). The fourth curve is given by
(P. Kuriscak, pers. comm., Feb. 12, 2006). Each half of this heart curve is a portion of an
algebraic curve of order 6. And the fifth curve is the polar curve