prologues:=2;

input geometriesyr16;

vardef popart(expr deg,div,rep,sens,coul,coull)=
  save $;
  picture $;
  save T;
  transform P[];
  path cc;
  cc=cercles(u*(10,10),10u);
  pair sommet[];
  marque_p:="plein";
  sommet0=pointarc(cc,0);
  for k=1 upto deg:
    sommet[k]=rotation(sommet[k-1],u*(10,10),360/deg);
    pointe(sommet[k]);
  endfor;
  pair A,B,C;
  A=u*(10,10);
  for k=0 upto (deg-1):
    B:=sommet[k];
    C:=sommet[k+1];
    if sens=-1:
      if (k mod 2)=0:
	A transformed P[k]=(1/div)[A,B];
	B transformed P[k]=(1/div)[B,C];
	C transformed P[k]=(1/div)[C,A];
      else:
	A transformed P[k]=((div-1)/div)[A,B];
	B transformed P[k]=((div-1)/div)[B,C];
	C transformed P[k]=((div-1)/div)[C,A];
      fi
    else:
      A transformed P[k]=(1/div)[A,B];
      B transformed P[k]=(1/div)[B,C];
      C transformed P[k]=(1/div)[C,A];
    fi;
  endfor;
  $=image(
    for k=1 upto deg:
      B:=sommet[k-1];
      C:=sommet[k];
      picture dessin;
      if (k mod 2)=1:
	dessin=image(
	  fill A--B--C--cycle withcolor coul;
	  fill ((A--B--C--cycle) transformed P[k-1]) withcolor coull;
	  trace A--B--C--cycle;
	  trace ((A--B--C--cycle) transformed P[k-1]);
	  );
	trace dessin;
	for j=1 upto (rep/2):
	  dessin:=dessin transformed (P[k-1]) transformed (P[k-1]);
	  trace dessin;
	endfor;
      else:
	dessin=image(
	  fill A--C--B--cycle withcolor coul;
	  fill ((A--C--B--cycle) transformed P[k-1]) withcolor coull;
	  trace A--C--B--cycle;
	  trace ((A--C--B--cycle) transformed P[k-1]);
	  );
	trace dessin;
	for j=1 upto (rep/2):
	  dessin:=dessin transformed P[k-1] transformed P[k-1];
	  trace dessin;
	endfor;
      fi;
    endfor;
    );
  $
enddef;
u:=7.5mm;

beginfig(1);
%figure(0,0,20u,20u);
trace popart(6,10,30,-1,blanc,blanc);
%fin;
endfig;

beginfig(2);
%figure(0,0,20u,20u);
trace popart(12,15,20,-1,blanc,blanc);
%fin;
endfig;

beginfig(3);
%figure(0,0,20u,20u);
trace popart(12,15,20,1,blanc,blanc);
%fin;
endfig;

beginfig(4);
%figure(0,0,20u,20u);
trace popart(16,15,20,-1,blanc,blanc);
%fin;
endfig;

beginfig(5);
%figure(0,0,20u,20u);
trace popart(16,15,20,1,blanc,blanc);
%fin;
endfig;

beginfig(6);
%figure(0,0,20u,20u);
trace popart(6,10,30,1,jaune,violet);
%fin;
endfig;

beginfig(7);
%figure(0,0,20u,20u);
trace popart(12,15,20,1,jaune,3/5[jaune,blanc]);
%fin;
endfig;
end