Brady's Spiral Ray Gun:

This space curve was produced using the following Maple commands:

> x:=(1-exp(t))*cos(10*t);
> y:=(1-exp(t))*sin(10*t);
> z:=t^2;

                     x := (1 - exp(t)) cos(10 t)


                     y := (1 - exp(t)) sin(10 t)


                                     2
                               z := t

> with(plots):
> spacecurve([x,y,z],t=-4*Pi..Pi,numpoints=5000,
>   axes='FRAMED',orientation=[40,60],thickness=2);