Neil's Semi-Cylinder:

This space curve was produced using the following Maple commands:

> x:=sin(sin(t))*sin(t);
> y:=cos(sin(t))*sin(t);
> z:=t^2;

                       x := sin(sin(t)) sin(t)


                       y := cos(sin(t)) sin(t)


                                     2
                               z := t

> with(plots):
> spacecurve([x,y,z],t=0..8*Pi,numpoints=2000,
>   axes='NORMAL',thickness=2);