VIEW THE MOBILE VERSION of www.mathpuzzle.ca Informational Site Network Informational
Privacy
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


BACHET'S SQUARE.





(Chessboard Problems)
One of the oldest card puzzles is by Claude Caspar Bachet de Meziriac,
first published, I believe, in the 1624 edition of his work. Rearrange
the sixteen court cards (including the aces) in a square so that in no
row of four cards, horizontal, vertical, or diagonal, shall be found two
cards of the same suit or the same value. This in itself is easy enough,
but a point of the puzzle is to find in how many different ways this may
be done. The eminent French mathematician A. Labosne, in his modern
edition of Bachet, gives the answer incorrectly. And yet the puzzle is
really quite easy. Any arrangement produces seven more by turning the
square round and reflecting it in a mirror. These are counted as
different by Bachet.
Note "row of four cards," so that the only diagonals we have here to
consider are the two long ones.


Read Answer





Next: THE THIRTY-SIX LETTER-BLOCKS.

Previous: UNDER THE VEIL.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

Giving Change.
Money Puzzles
Changing Places.
Money Puzzles
Lion-hunting.
Chessboard Problems
The Haberdasher's Puzzle
CANTERBURY PUZZLES
The Torn Number.
Money Puzzles
Boys And Girls.
Moving Counter Problem
The Round Table
MISCELLANEOUS PUZZLES
The Costermonger's Puzzle.
Money Puzzles
The Three Groups.
Money Puzzles
The Fifteen Orchards
MISCELLANEOUS PUZZLES
The Bag Of Nuts.
Money Puzzles
Another Linoleum Puzzle.
Patchwork Puzzles
The Japanese Ladies And The Carpet
MISCELLANEOUS PUZZLES
Simple Multiplication.
Money Puzzles
The Cubic Knight's Tour.
The Guarded Chessboard