1  Diagram 2.


2 


3  The stars are the original calculated path. Check at certain points to see if a straight line can intersect with a 2nd or third change of direction. *'s are the original path, x's are the better path.


4 


5  Notice Triangles and Squares


6 


7  Triangles 2nd change of direction


8 


9  ##############


10  # x**


11  # xx *#


12  # x *#


13  # xx *#


14  # x *#


15  # xx *#


16  # x *#


17  #************#


18  #*############


19 


20  Squares / 3rd change of direction


21 


22  #*############


23  #************#


24  #x *#


25  #x *#


26  #x *#


27  #x *#


28  #x *#


29  #x *#


30  #************#


31  #*############

