Shaun's Decaying Loopy Spiral:

This space curve was produced using the following Maple commands:

> x:=rho*cos(t);
> y:=rho*sin(t);
> z:=t/2/Pi/10;
> rho:=(sin(2*t/Pi))*exp(-t/30);

                           x := rho cos(t)


                           y := rho sin(t)


                                       t
                            z := 1/20 ----
                                       Pi


                                 t
                   rho := sin(2 ----) exp(- 1/30 t)
                                 Pi

> with(plots):
> spacecurve([x,y,z],t=0..40*Pi,numpoints=1000,
>   axes='NORMAL',scaling='CONSTRAINED',
>   thickness=2,orientation=[45,75]);

SFU / Math & Stats / ~hebron / math252 / assignments / sol03 / studentcurves / shaun.html

Revised 11 Feburary 1999 by John Hebron.