Harpreet's Bi-Directional Spiral:

This space curve was produced using the following Maple commands:

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

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


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


                                     2
                               z := t

> with(plots):
> spacecurve([x,y,z],t=-10*Pi..10*Pi,numpoints=1000,
>   axes='NORMAL',thickness=2,orientation=[40,75]);