//AUTEUR: Guillaume Connan

size(15cm,15cm);
import animate;

animation a;

for (int k=6; k < 100; ++k) {
 save();

 real t=180/k;
 pair o=(0,0);
 pair m=(cos(t),sin(t));
 pair n=rotate(180-2*t,m)*o;
 pair b=rotate(4*t-180,n)*m;
 pair c=rotate(180-6*t,b)*n;
 pair nn=rotate(2*t-180,m)*o;
 pair bb=reflect(o,n)*b;
 pair mM=reflect(o,n)*m;
 path lo=m--n--b--nn--cycle;
 path t1=o--m--n--cycle;
 path t2=n--bb--c--cycle;
 path t3=o--mM--n--cycle;
 path t4=n--b--c--cycle;

 for (int i=0; i <= k; ++i){
   filldraw(rotate(2*t*i,o)*t1,.5*(red+blue));
   filldraw(rotate(2*t*i,o)*t2,.5*(red+blue));
   filldraw(rotate(2*t*i,o)*t3,0.25(red+blue));
   filldraw(rotate(2*t*i,o)*t4,0.25(red+blue));
   filldraw(rotate(2*t*i,o)*lo,(red+blue));
 };
 a.add();
 restore();
}
a.movie(keep=true); // keep=true pour garder les images générées.