"What do you think of these?"
The Professor brought from his capacious pockets a
snails, lizards, and other creatures of Japanese
grotesque in form and brilliant in colour.
While we were looking at
he asked the waiter to place sixty-four tumblers on the club
these had been brought and arranged in the form of a square, as shown
the illustration, he placed eight of the little green frogs on the
glasses as shown.
"Now," he said, "you see these tumblers form eight
vertical lines, and if you look at them diagonally (both ways) there
twenty-six other lines.
If you run your eye along all these forty-two
lines, you will find no two frogs are anywhere in a line.
"The puzzle is this.
Three of the frogs are
supposed to jump
present position to three vacant glasses, so that in their new relative
positions still no two frogs shall be in a line.
What are the jumps
"I suppose——" began Hawkhurst.
"I know what you are going to ask," anticipated
frogs do not exchange positions, but each of the three jumps to a glass
that was not previously occupied."
"But surely there must be scores of solutions?" I
"I shall be very glad if you can find them,"
Professor with a
dry smile. "I only know of one—or rather two, counting a
occurs in consequence of the position being symmetrical."