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 /
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math252 /
assignments /
sol03 /
studentcurves /
shieh.html
Revised 11 Feburary 1999 by
John Hebron.