Yi-Kuo's Cool Curves:

Bent Circle:

"Bent Circle" was produced using the following Maple commands:

> x:=exp(sin(t));
> y:=exp(cos(t));
> z:=exp(sin(t)+cos(t));

                           x := exp(sin(t))


                           y := exp(cos(t))


                      z := exp(sin(t) + cos(t))

> with(plots):
> spacecurve([x,y,z],t=0..4*Pi,numpoints=1000,
>   axes=normal,orientation=[-60,70],thickness=2);

Spacecurve Cruller:

"Spacecurve Cruller" was produced using the following Maple commands:

> x:=(1+1/2*cos(256*t))*cos(t);
> y:=(1+1/2*cos(256*t))*sin(t);
> z:=sin(256*t)*cos(4*t);

                   x := (1 + 1/2 cos(256 t)) cos(t)


                   y := (1 + 1/2 cos(256 t)) sin(t)


                       z := sin(256 t) cos(4 t)

> with(plots):
> spacecurve([x,y,z],t=0..2*Pi,numpoints=4000,
>   axes='FRAMED',orientation=[20,50]);