Dan's Exponential Spiral:

This space curve was produced using the following Maple commands:

> x:=rho*cos(t^2)/exp(2);
> y:=rho*sin(t^2)/exp(2);
> z:=exp(t/2/Pi/10);
> rho:=exp(t/2/Pi);

                                         2
                                rho cos(t )
                           x := -----------
                                  exp(2)


                                         2
                                rho sin(t )
                           y := -----------
                                  exp(2)


                                        t
                         z := exp(1/20 ----)
                                        Pi


                                         t
                         rho := exp(1/2 ----)
                                         Pi

> with(plots):
> spacecurve([x,y,z],t=0..2*Pi,
>   numpoints=1000,axes='NORMAL',thickness=4);