I fixed this to produce the actual image I'm looking for instead of that stupid black square. All I did was use up() & dowm() in place of penup(), pendown() and replace dot(2) with forward(1).
I'll be posting a followup report later. import gmpy ## (even) hi----| ## | ## lo (odd) ## or ## ## (even) lo ## | ## | ## ----hi (odd) ## ## ## ## import turtle tooter = turtle.Turtle() #tooter.hideturtle() tooter.speed('fast') #turtle.update() tooter.tracer(False) #tooter.penup() tooter.up() tooter.color('black') s = ['1','0'] while len(s[0])<10000: s = [''.join(s), s[0]] origin = [0,0] if s[0] == '0': tooter.goto(origin) #tooter.dot(1) tooter.down() tooter.forward(1) tooter.up() if s[1] == '0': tooter.goto([1,0]) #tooter.dot(1) tooter.down() tooter.forward(1) tooter.up() print len(s[0]) for i,j in enumerate(s[0]): the_coord=[] cur_root = gmpy.sqrt(i) lo__root = gmpy.sqrt(i)**2 hi__root = (gmpy.sqrt(i)+1)**2 if hi__root%2==0: side = 'northeast' else: side = 'southwest' elbow = (hi__root - lo__root)/2 + lo__root + 1 if i>= elbow: side_len = i - elbow elbow_plus = True else: side_len = elbow - i elbow_plus = False if side == 'northeast': elbow_offset = [(gmpy.sqrt(elbow)-1)/2 +1,-((gmpy.sqrt(elbow)-1)/2 +1)] else: elbow_offset = [-((gmpy.sqrt(elbow)-1)/2 +1),((gmpy.sqrt(elbow)-1)/ 2 +1)] elbow_coord = [origin[0]+elbow_offset[0],origin[1]+elbow_offset[1]] if i != hi__root and i != lo__root: if i == elbow: the_coord = elbow_coord else: if elbow_plus: if side == 'northeast': the_coord = [elbow_coord[0]-side_len,elbow_coord[1]] else: the_coord = [elbow_coord[0]+side_len,elbow_coord[1]] else: if side == 'northeast': the_coord = [elbow_coord[0],elbow_coord[1]+side_len] else: the_coord = [elbow_coord[0],elbow_coord[1]-side_len] else: if i % 2 == 0: # even square n = gmpy.sqrt(i)/2 - 1 the_coord = [-n, -n-1] else: n = (gmpy.sqrt(i)-1)/2 - 1 the_coord = [1+n, 1+n] if j == '0': tooter.goto(the_coord) #tooter.dot(2) tooter.down() tooter.forward(1) tooter.up() print 'done' #turtle.update() turtle.done() print 'done' -- http://mail.python.org/mailman/listinfo/python-list