Paraboloid

Parameterdarstellung: x=a u cos t, y=a u sin t, z=b u²

Table[
      ParametricPlot3D[{r Cos[t], r Sin[t], r^2}, {t, 0, 2  Pi}, {r, 0, 2}, 
        Axes -> None, Boxed -> False, ImageSize -> 500, 
        ViewPoint -> {3  Sin[2  Pi k/100], 3  Cos[2  Pi k/100], 
            3 + 5  Sin[2  Pi k/100]}], {k, 1, 100}]