Informational Site NetworkInformational Site Network
Privacy
 
Home Top Rated Puzzles Most Viewed Puzzles All Puzzle Questions Random Puzzle Question Search


BOARDS WITH AN ODD NUMBER OF SQUARES.





(Chessboard Problems)
We will here consider the question of those boards that contain an odd
number of squares. We will suppose that the central square is first cut
out, so as to leave an even number of squares for division. Now, it is
obvious that a square three by three can only be divided in one way, as
shown in Fig. 1. It will be seen that the pieces A and B are of the same
size and shape, and that any other way of cutting would only produce the
same shaped pieces, so remember that these variations are not counted as
different ways. The puzzle I propose is to cut the board five by five
(Fig. 2) into two pieces of the same size and shape in as many different
ways as possible. I have shown in the illustration one way of doing it.
How many different ways are there altogether? A piece which when turned
over resembles another piece is not considered to be of a different
shape.
[Illustration:
+------+---+
| H | |
+---===---+
| HHHHH |
+---===---+
| | H |
+---+------+
Fig 1]
[Illustration:
+---+---+---+---+---+
| | | | | |
=========---+---+
| | | H | |
+---+---===---+---+
| | HHHHH | |
+---+---===---+---+
| | H | | |
+---+---=========
| H | | | |
+------+---+---+---+
Fig 2]


Read Answer






Next: THE GRAND LAMA'S PROBLEM.

Previous: LIONS AND CROWNS.



Add to del.icio.us Add to Reddit Add to Digg Add to Del.icio.us Add to Google Add to Twitter Add to Stumble Upon
Add to Informational Site Network
Report
Privacy
SHAREADD TO EBOOK




Random Questions

A Post-office Perplexity.
Money Puzzles
Counter Crosses.
Combination and Group Problems
The Wrong Hats.
Combination and Group Problems
The Deified Puzzle.
Unicursal and Route Problems
Building The Tetrahedron.
Combination and Group Problems
The Riddle Of The Fish-pond
THE MERRY MONKS OF RIDDLEWELL
The Four Kangaroos.
The Guarded Chessboard
A Reversible Magic Square
MISCELLANEOUS PUZZLES
A Calendar Puzzle.
Unclassified Problems.
The Rook's Tour.
The Guarded Chessboard
The Barrel Puzzle.
Measuring, Weight, and Packing Puzzles.
A Problem In Squares.
Money Puzzles
The Four Sevens.
Money Puzzles
St. George And The Dragon.
The Guarded Chessboard
The Nine Schoolboys.
Combination and Group Problems