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


THE PENTAGON AND SQUARE.





(Various Dissection Puzzles)
I wonder how many of my readers, amongst those who have not given any
close attention to the elements of geometry, could draw a regular
pentagon, or five-sided figure, if they suddenly required to do so. A
regular hexagon, or six-sided figure, is easy enough, for everybody
knows that all you have to do is to describe a circle and then, taking
the radius as the length of one of the sides, mark off the six points
round the circumference. But a pentagon is quite another matter. So, as
my puzzle has to do with the cutting up of a regular pentagon, it will
perhaps be well if I first show my less experienced readers how this
figure is to be correctly drawn. Describe a circle and draw the two
lines H B and D G, in the diagram, through the centre at right angles.
Now find the point A, midway between C and B. Next place the point of
your compasses at A and with the distance A D describe the arc cutting H
B at E. Then place the point of your compasses at D and with the
distance D E describe the arc cutting the circumference at F. Now, D F
is one of the sides of your pentagon, and you have simply to mark off
the other sides round the circle. Quite simple when you know how, but
otherwise somewhat of a poser.
Having formed your pentagon, the puzzle is to cut it into the fewest
possible pieces that will fit together and form a perfect square.


Read Answer






Next: THE DISSECTED TRIANGLE.

Previous: MRS. HOBSON'S HEARTHRUG.



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

The Four Knights' Tours.
The Guarded Chessboard
The Silver Cubes
Adventures of the Puzzle Club
Next-door Neighbours.
Money Puzzles
Papa's Puzzle.
Patchwork Puzzles
Ancient Chinese Puzzle.
The Guarded Chessboard
The Eight Clowns
MISCELLANEOUS PUZZLES
The Round Table.
Combination and Group Problems
The Puzzling Money-boxes.
Money Puzzles
Water, Gas, And Electricity.
Unicursal and Route Problems
The Spanish Dungeon.
Magic Squares Problem.
Who Was First?
Unclassified Problems.
Bridging The Ditch
THE SQUIRE'S CHRISTMAS PUZZLE PARTY
A Shopping Perplexity.
Money Puzzles
The Puzzle Wall.
Patchwork Puzzles
The Five Dogs Puzzle.
Chessboard Problems