Jason KLL's Looped Ribbon:

This space curve was produced using the following Maple commands:

> x:=rho*sin(t);
> y:=rho*cos(t);
> z:=2*t*rho+3*Pi;
> rho:=2+4*Pi*sin(t/3);

                           x := rho sin(t)


                           y := rho cos(t)


                         z := 2 t rho + 3 Pi


                      rho := 2 + 4 Pi sin(1/3 t)

> with(plots):
> spacecurve([x,y,z],t=0..30*Pi,numpoints=1000,
>   axes='NORMAL',orientation=[-15,25],thickness=2);