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


THE FIVE CRESCENTS OF BYZANTIUM.





(Chessboard Problems)
When Philip of Macedon, the father of Alexander the Great, found himself
confronted with great difficulties in the siege of Byzantium, he set his
men to undermine the walls. His desires, however, miscarried, for no
sooner had the operations been begun than a crescent moon suddenly
appeared in the heavens and discovered his plans to his adversaries. The
Byzantines were naturally elated, and in order to show their gratitude
they erected a statue to Diana, and the crescent became thenceforward a
symbol of the state. In the temple that contained the statue was a
square pavement composed of sixty-four large and costly tiles. These
were all plain, with the exception of five, which bore the symbol of the
crescent. These five were for occult reasons so placed that every tile
should be watched over by (that is, in a straight line, vertically,
horizontally, or diagonally with) at least one of the crescents. The
arrangement adopted by the Byzantine architect was as follows:--
Now, to cover up one of these five crescents was a capital offence, the
death being something very painful and lingering. But on a certain
occasion of festivity it was necessary to lay down on this pavement a
square carpet of the largest dimensions possible, and I have shown in
the illustration by dark shading the largest dimensions that would be
available.
The puzzle is to show how the architect, if he had foreseen this
question of the carpet, might have so arranged his five crescent tiles
in accordance with the required conditions, and yet have allowed for the
largest possible square carpet to be laid down without any one of the
five crescent tiles being covered, or any portion of them.


Read Answer





Next: QUEENS AND BISHOP PUZZLE.

Previous: THE FIVE DOGS PUZZLE.



Add to Informational Site Network
Report
Privacy
ADD TO EBOOK




Random Questions

Reaping The Corn.
Money Puzzles
The Great Grangemoor Mystery
MISCELLANEOUS PUZZLES
Indiscriminate Charity.
Money Puzzles
The Christmas Pudding.
Various Dissection Puzzles
Buying Apples.
Money Puzzles
The Haberdasher's Puzzle
CANTERBURY PUZZLES
The Sabbath Puzzle.
Unclassified Problems.
A Kite-flying Puzzle.
Patchwork Puzzles
The Twickenham Puzzle.
Moving Counter Problem
A Match Mystery.
Puzzle Games.
A New Bishop's Puzzle.
The Guarded Chessboard
The Mysterious Rope
THE STRANGE ESCAPE OF THE KING'S JESTER
The Christmas Geese
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
The Bicycle Thief.
Money Puzzles
The "t" Card Puzzle.
Problems Concerning Games.