Solution found with 8 lines.
Line 1 starts at (0,0)
  goes through (0,0) (1,0) 
  and ends at (1,0)
Line 2 starts at (1,0)
  goes through (1,0) (1,1) 
  and ends at (1,1)
Line 3 starts at (1,1)
  goes through (0,0) (1,1) 
  and ends at (0,0)
Line 4 starts at (0,0)
  goes through (0,0) (2,1) 
  and ends at (2,1)
Line 5 starts at (2,1)
  goes through (1,0) (2,1) 
  and ends at (1,0)
Line 6 starts at (1,0)
  goes through (1,0) (2,0) 
  and ends at (2,0)
Line 7 starts at (2,0)
  goes through (1,1) (2,0) 
  and ends at (1,1)
Line 8 starts at (1,1)
  goes through (1,1) (2,2) 
  and ends at (2,2)

Solution found with 7 lines.
Line 1 starts at (0,0)
  goes through (0,0) (1,0) 
  and ends at (1,0)
Line 2 starts at (1,0)
  goes through (1,0) (1,1) 
  and ends at (1,1)
Line 3 starts at (1,1)
  goes through (0,0) (1,1) 
  and ends at (0,0)
Line 4 starts at (0,0)
  goes through (0,0) (2,1) 
  and ends at (2,1)
Line 5 starts at (2,1)
  goes through (1,0) (2,1) 
  and ends at (1,0)
Line 6 starts at (1,0)
  goes through (1,0) (2,0) 
  and ends at (2,0)
Line 7 starts at (2,0)
  goes through (2,0) (2,1) (2,2) 
  and ends at (2,2)

Solution found with 6 lines.
Line 1 starts at (0,0)
  goes through (0,0) (1,0) 
  and ends at (1,0)
Line 2 starts at (1,0)
  goes through (1,0) (1,1) 
  and ends at (1,1)
Line 3 starts at (1,1)
  goes through (1,1) (2,0) 
  and ends at (2,0)
Line 4 starts at (2,0)
  goes through (0,0) (1,0) (2,0) 
  and ends at (0,0)
Line 5 starts at (0,0)
  goes through (0,0) (2,1) 
  and ends at (2,1)
Line 6 starts at (2,1)
  goes through (2,1) (2,2) 
  and ends at (2,2)

Solution found with 4 lines.
Line 1 starts at (0,0)
  goes through (0,0) (1,0) 
  and ends at (1,0)
Line 2 starts at (1,0)
  goes through (1,0) (1,1) 
  and ends at (1,1)
Line 3 starts at (1,1)
  goes through (1,1) (2,0) 
  and ends at (2,0)
Line 4 starts at (2,0)
  goes through (2,0) (2,1) (2,2) 
  and ends at (2,2)

Solution found with 3 lines.
This solution is reentrant.
Line 1 starts at (0,0)
  goes through (0,0) (1,0) (2,0) 
  and ends at (2,0)
Line 2 starts at (2,0)
  goes through (2,0) (2,1) (2,2) 
  and ends at (2,2)
Line 3 starts at (2,2)
  goes through (1,1) (2,2) 
  and ends at (0,0)

1 solutions found.