Watch Jack's axe very closely as he enters the maze near the end of the movie. The blood is clearly visible on the blade of the axe. When Jack is in the maze hunting for Danny the first few shots of him show the blood is still on the axe. Then the shots of Jack suddenly change to showing a clean axe with no blood. I guess he took a break from his demented rage in the freezing weather to stop and carefully wipe the blood off so he could kill Danny with a clean axe ...