There was a typo in an earlier post. It should read

$\displaystyle \vec{r} = < 2 \sin 2 u, \; 2 + 2 \cos 2u,\; 4 \,v \, \sin u>$

and

$\displaystyle

||\, \vec{r}_u \, \times\, \vec{r}_v \, || = 16 \sin u$

Here's a pictue of the surface in question