Jason LTL's Spiro-Loops:

This space curve was produced using the following Maple commands:

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

                           x := rho cos(t)


                           y := rho sin(t)


                             z := sin(t)


                               rho := t

> with(plots):
> spacecurve([x,y,z],t=0..20*Pi,numpoints=1000,
>   axes='NORMAL',thickness=2,orientation=[45,75]);