Construct this figure:
>
> restart;
> x1:=cos(t);
> y1:=sin(t);
> x3:=cos(3*t);
> y3:=sin(3*t);
> m:=[[x1,y1],[x3,y3]];
> t:=k*Pi/50;
> plot([m$k=1..100],color=green,scaling=constrained,axes=none);