## Happy Valentine’s Day

To Tiffany. I love you (nerdily).

Feel free to copy the following into the wonderful Desmos Calculator:

$\left(\frac{2\sqrt{2}\cos \left(t\right)}{\sin ^2\left(t\right)+1},\frac{2\sqrt{2}\cos \left(t\right)\sin \left(t\right)}{\sin ^2\left(t\right)+1}+1\right)$

$\left(\frac{3}{2}\cos \left(\frac{7}{4}t\right)\cos t,\frac{3}{2}\cos \left(\frac{7}{4}t\right)\sin t-\frac{5}{4}\right)$

$\left(4\sin \left(t\right)^3,3\cos \left(t\right)-\cos \left(2t\right)-\frac{\cos \left(3t\right)}{2}-\frac{\cos \left(4t\right)}{6}\right)$

Domain: (0, 50) is sufficient.