Prays - Download the EBook PreachingInformational Site Network Informational
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search

Foxes And Geese


Here is a little puzzle of the moving counters class that my readers will probably find entertaining. Make a diagram of any convenient size similar to that shown in our illustration, and provide six counters—three marked to represent foxes and three to represent geese. Place the geese on the discs 1, 2, and 3, and the foxes on the discs numbered 10, 11, and 12

Now the puzzle is this. By moving one at a time, fox and goose alternately, along a straight line from one disc to the next one, try to get the foxes on 1, 2, and 3, and the geese on 10, 11, and 12—that is, make them exchange places—in the fewest possible moves.

But you must be careful never to let a fox and goose get within reach of each other, or there will be trouble. This rule, you will find, prevents you moving the fox from 11 on the first move, as on either 4 or 6 he would be within reach of a goose. It also prevents your moving a fox from 10 to 9, or from 12 to 7. If you play 10 to 5, then your next move may be 2 to 9 with a goose, which you could not have played if the fox had not previously gone from 10. It is perhaps unnecessary to say that only one fox or one goose can be on a disc at the same time. Now, what is the smallest number of moves necessary to make the foxes and geese change places?

Read Answer

Next: Robinson Crusoe's Table

Previous: The Number Blocks

Add to Informational Site Network

Random Questions

The Leap-year Ladies.
Money Puzzles
The Fly On The Octahedron.
Unicursal and Route Problems
The Cone Puzzle.
Patchwork Puzzles
The Guarded Chessboard
A Calendar Puzzle.
Unclassified Problems.
The Barrels Of Balsam.
Combination and Group Problems
The Joiner's Problem.
Various Dissection Puzzles
Painting The Lamp-posts.
Money Puzzles
The Snail On The Flagstaff
Central Solitaire.
Moving Counter Problem
The Sailor's Puzzle.
Unicursal and Route Problems
Two Questions In Probabilities.
Money Puzzles
The Four Sons.
Patchwork Puzzles
The Passenger's Fare.
Money Puzzles
The Nine Almonds.
Moving Counter Problem