4-11.mws

> restart;

> x:=cos(t);

x := cos(t)

> y:=sin(t);

y := sin(t)

> x1:=2/3*x+1/3*cos(2*t):y1:=2/3*y-1/3*sin(2*t):

> r:=((x-x1)^2+(y-y1)^2)^(1/2);

r := sqrt((1/3*cos(t)-1/3*cos(2*t))^2+(1/3*sin(t)+1...

> m:=[x+r*sin(s),y+r*cos(s), s=0..2*Pi];

m := [cos(t)+sqrt((1/3*cos(t)-1/3*cos(2*t))^2+(1/3*...
m := [cos(t)+sqrt((1/3*cos(t)-1/3*cos(2*t))^2+(1/3*...

> t:=2*n*Pi/100;

t := 1/50*n*Pi

> w:=evalf(m):

> plot([w$n=1..100],color=blue,axes=none,scaling=constrained);

[Maple Plot]

>