ttle reptiles perform the feat
allotted to them, and failed. The Professor, however, would not give away
his solution, but said he would instead introduce to us a little thing
that is childishly simple when you have once seen it, but cannot be
mastered by everybody at the very first attempt.
"Waiter!" he called again. "Just take away these glasses, please, and
bring the chessboards."
"I hope to goodness," exclaimed Grigsby, "you are not going to show us
some of those awful chess problems of yours. 'White to mate Black in 427
moves without moving his pieces.' 'The bishop rooks the king, and pawns
his Giuoco Piano in half a jiff.'"
"No, it is not chess. You see these two snails. They are Romeo and
Juliet. Juliet is on her balcony, waiting the arrival of her love; but
Romeo has been dining, and forgets, for the life of him, the number of
her house. The squares represent sixty-four houses, and the amorous swain
visits every house once and only once before reaching his beloved. Now,
make him do this with the fewest possible turnings. The snail can move
up, down, and across the board and through the diagonals. Mark his track
with this piece of chalk."
[Illustration]
"Seems easy enough," said Grigsby, running the chalk along the squares.
"Look! that does it."
"Yes," said the Professor: "Romeo has got there, it is true, and visited
every square once, and only once; but you have made him turn nineteen
times, and that is not doing the trick in the fewest turns possible."
Hawkhurst, curiously enough, hit on the solution at once, and the
Professor remarked that this was just one of those puzzles that a person
might solve at a glance or not master in six months.
71.--_Romeo's Second Journey._
"It was a sheer stroke of luck on your part, Hawkhurst," he added. "Here
is a much easier puzzle, because it is capable of more systematic
analysis; yet it may just happen that you will not do it in an hour. Put
Romeo on a white square and make him crawl into every other white square
once with the fewest possible turnings. This time a white square may be
visited twice, but the snail must never pass a second time through the
same corner of a square nor ever enter the black squares."
"May he leave the board for refreshments?" asked Grigsby.
"No; he is not allowed out until he has performed his feat."
72.--_The Frogs who would a-wooing go._
While we were vainly attempting to solve this puzzle, the Professor
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