How to calculate a heart?

Question

I really like this girl Jenny in my math class. She is smart and kind and sweet and really, REALLY hot. I want to get her to notice me by graphing a heart on my TI calculator but I don't know if there's a single mathematical equation that can draw this when it graphs the line.

Please help.

Answer 1

Change your calculator to parametric graphing mode (this page shows you how to do that, if you don't know), and enter this parametric equation:

$$x(t)=16\sin^3(t)$$ $$y(t)=13\cos(t)-5\cos(2t)-2\cos(3t)-\cos(4t).$$

In the window tab, set tmin=0 and tmax=2*pi Here is the result:

Good luck.

Answer 2

$x^2 + (5 y/4 - (Sqrt[Abs[x]])^2\leq1$, $-n<x<n\;\;and\;\;-n<y<n$