Metapost Sandbox - Triangle Transformations

                    
beginfig(0);
path p;
pair A,B,C; 
transform T;

u:=3cm;

A=u*dir(-30); 
B=u*dir(90); 
C=u*dir(210);

A transformed T = 1/6[A,B];
B transformed T = 1/6[B,C];
C transformed T = 1/6[C,A];
show T;
p = A--B--C--cycle;
for i=0 upto 60:
	draw p withcolor (i+1)*0.1[red, green]; 
    p:= p transformed T;
endfor;
endfig;
end;