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.