Shieh's Spike Tree:

This space curve was produced using the following Maple commands:

> x:=tan(6*t)*(1+1/10*cos(12*t))*cos(t);
> y:=tan(6*t)*(1+1/10*cos(12*t))*sin(t);
> z:=10*t+1/10*sin(12*t);

              x := tan(6 t) (1 + 1/10 cos(12 t)) cos(t)


              y := tan(6 t) (1 + 1/10 cos(12 t)) sin(t)


                      z := 10 t + 1/10 sin(12 t)

> with(plots):
> spacecurve([x,y,z],t=0..3*Pi,numpoints=4000,
>   axes='NORMAL',shading='Z',
>   thickness=2,orientation=[75,80],
>   view=[-20..20,-20..20,0..100]);

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

Revised 11 Feburary 1999 by John Hebron.