Peter's Loopy Spiral:

This space curve was produced using the following Maple commands:

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

                                   2
                        x := cos(t)  t sin(t)


                                   2
                        y := sin(t)  t cos(t)


                                z := t

> with(plots):
> spacecurve([x,y,z],t=0..8*Pi,numpoints=1000,
>   axes='NORMAL',scaling='CONSTRAINED',
>   thickness=2,orientation=[-15,75]);