Here is a puzzle that combines some ideas of union and intersection (from Mathematical Puzzles of Sam Loyd, edited by Martin Gardner).
It is told that three neighbors, who shared a small park, as shown in the sketch above, had a falling out. The owner of the large house, complaining that his neighbor's chickens annoyed him, built an enclosed pathway from his door to the middle gate at the bottom of the picture.
Then the man on the right built a path to the gate on the left, and the man on the left built a path to the gate on the right. None of the paths crossed.
Draw the three paths correctly. (Note: No path can go behind the large house.)
Yes, ......This CAN be done.
Be sure you play with it for a while before you click this HINT link.
Click HERE for the answer.
