By Henry Dudeney
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Extra resources for Good Old Fashioned Challenging Puzzles and Perplexing Mathematical Problems (Puzzle Books)
They are starting from the town with a star, and must complete their tour at E. But before arriving there they want to visit every other town once, and only once. That is the difficulty. Mr. Spicer said, ‘I am certain we can find a way of doing it;’ but Mr. ’ Now, which of them was correct? Take your pencil and see if you can find any way of doing it. Of course you must keep to the roads indicated. 61. A PUZZLE FOR MOTORISTS. Eight motorists drove to church one morning. i57 57 07/12/2006 15:28:18 GOOD OLD-FASHIONED CHALLENGING PUZZLES roads available (the dotted lines), are shown.
Of course, no portion can be turned over. 41. ANOTHER PATCHWORK PUZZLE. A lady was presented, by two of her girl friends, with the pretty pieces of silk patchwork shown in our illustration. i42 42 07/12/2006 15:28:02 GEOMETRICAL PROBLEMS seen that both pieces are made up of squares all of the same size—one 12 × 12 and the other 5 × 5. She proposes to join them together and make one square patchwork quilt, 13 × 13, but, of course, she will not cut any of the material—merely cut the stitches where necessary and join together again.
Can you draw up a scheme showing how they may all sit down at three tables every evening? Call the twelve players by the first twelve letters of the alphabet and try to group them. 66. THE GLASS BALLS. i61 61 07/12/2006 15:28:22 GOOD OLD-FASHIONED CHALLENGING PUZZLES of glass balls, as shown in the illustration, to be fired at. ’ Thus, one way would be to break all the four balls on each string in succession, taking the strings from left to right. Another would be to break all the fourth balls on the four strings first, then break the three remaining on the first string, then take the balls on the three other strings alternately from right to left, and so on.