Construct this figure:
>
> restart;
> m:=[[-2*cos(t)-cos(-2*t),-2*sin(t)-sin(-2*t)],[-2*cos(t)+cos(-2*t),-2*sin(t)+sin(-2*t)]]:
> t:=k*Pi/100:
> plot([m$k=0..200],color=red,scaling=constrained,axes=none);