figure1 704 Bytes
A:= point(-4.95-1.777*i); 
B:= point(3.786-2.876*i);
C:= point(0.722+1.9*i);
a1:=(angle(A,B,C))/3;  
b1:=(angle(B,C,A))/3;  
c1:=eval(pi/3-a1-b1);  
P:=inter(rotation(A,a1,droite(A,B)),rotation(B,-b1,droite(B,A)))[0];  
Q:=inter(rotation(C,-c1,droite(C,B)),rotation(B,b1,droite(B,C)))[0];  
R:=inter(rotation(A,-a1,droite(A,C)),rotation(C,c1,droite(C,A)))[0]; 
U:=inter(rotation(A,2*a1,droite(A,B)),rotation(B,-2*b1,droite(B,A)))[0];  
V:=inter(rotation(C,-2*c1,droite(C,B)),rotation(B,2*b1,droite(B,C)))[0];  
W:=inter(rotation(A,-2*a1,droite(A,C)),rotation(C,2*c1,droite(C,A)))[0]; 
triangle(A,R,C);
triangle(B,Q,C);
triangle(A,P,B);
triangle(P,Q,R);
triangle(U,Q,R);
triangle(V,P,R);
triangle(W,Q,P);