Is the rope the shortest path ?
The green curve draws the shortest path between F and H that doesn't pass through the square. If the square was solid, then that curve would look like some rope that is connecting F and H and is being pulled by the two points with equal strength from both sides.
If you change the square with any other shape (that allows a shortest path), is it always true that the shortest path between F an H would look like a rope pulled by the two points ?
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