Sahar's Superb Space Curves:
Ribbed Chute:

"Ribbed Chute" was produced using the following Maple
commands:
> x:=t*cos(2*t)^2+t*sin(t)^2;
> y:=t*cos(2*t)^2-t*sin(t)^2;
> z:=Pi*abs(t);
2 2
x := t cos(2 t) + t sin(t)
2 2
y := t cos(2 t) - t sin(t)
z := Pi | t |
> with(plots):
> spacecurve([x,y,z],t=-8*Pi..-Pi,numpoints=2000,
> axes='FRAMED');
Squiggly Spiral:

"Squiggly Spiral" was produced using the following Maple
commands:
> x:=(3+cos(12*t))*sin(t);
> y:=(3+cos(12*t))*cos(t);
> z:=Pi*t;
x := (3 + cos(12 t)) sin(t)
y := (3 + cos(12 t)) cos(t)
z := Pi t
> spacecurve([x,y,z],t=0..10*Pi,numpoints=1000,
> axes='NONE',scaling='CONSTRAINED',
> thickness=2,orientation=[45,75]);
SFU /
Math & Stats /
~hebron /
math252 /
assignments /
sol03 /
studentcurves /
sahar.html
Revised 11 Feburary 1999 by
John Hebron.