SET WINDOW -1,1,-1,1
LET s=SQR(3)
FOR d=0 TO 8
DRAW a(d) WITH SCALE(1/3^d,1/3^d)*SHIFT(-0.5,s/6)
DRAW a(d) WITH SCALE(1/3^d,1/3^d)*SHIFT(-0.5,s/6)*ROTATE(2*PI/3)
DRAW a(d) WITH SCALE(1/3^d,1/3^d)*SHIFT(-0.5,s/6)*ROTATE(4*PI/3)
gsave STR$(d)&".gif"
CLEAR
NEXT d
END
EXTERNAL PICTURE a(d)
LET a=0
PLOT LINES:0,0;
LET x=1
LET y=0
PLOT LINES:x,y;
FOR k=1 TO 4^d
LET s=k
DO
LET s=s/2
IF NOT(s=INT(s)) THEN EXIT DO
LET t=t+1
LOOP
IF t/2=INT(t/2) THEN
LET a=a+PI/3
ELSE
LET a=a-2*PI/3
END IF
LET t=0
LET x=x+COS(a)
LET y=y+SIN(a)
PLOT LINES:x,y;
NEXT k
END PICTURE