Erica's Experiments:

Zig-Zag With Spikes:

"Zig-Zag With Spikes" was produced using the following Maple commands:

> x:=tan(t+1);
> y:=sin(t);
> z:=t;

                           x := tan(t + 1)


                             y := sin(t)


                                z := t

> with(plots):
> spacecurve([x,y,z],t=0..8*Pi,numpoints=1000,
>  orientation=[145,60]);

Scribble With Hooks:

"Scribble With Hooks" was produced using the following Maple commands:

> x:=sin(Pi/cos(t));
> y:=cos(t);
> z:=t;

                                      Pi
                           x := sin(------)
                                    cos(t)


                             y := cos(t)


                                z := t

> spacecurve([x,y,z],t=0..4*Pi,numpoints=1000,
>   orientation=[35,55]);

Valley of the Spikes:

"Valley of the Spikes" was produced using the following Maple commands:

> x:=sin(cos(t)+Pi/4);
> y:=sin(tan(t)+Pi/4);
> z:=t;

                      x := sin(cos(t) + 1/4 Pi)


                      y := sin(tan(t) + 1/4 Pi)


                                z := t

> spacecurve([x,y,z],t=0..4*Pi,numpoints=1000,
>   orientation=[105,70]);