There was once a shepherd-boy who kept his flock at a little distance from the village. Once he thought he would play a trick on the villagers and have some fun at their expense. So he ran toward the village crying out, with all his might,-- ... Read more of THE BOY WHO CRIED "WOLF!" at Children Stories.caInformational Site Network Informational
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 Puzzle Wall.
Patchwork Puzzles
Curious Numbers.
Money Puzzles
Torpedo Practice.
Moving Counter Problem
The New Year's Eve Suppers.
Money Puzzles
The Four Sons.
Patchwork Puzzles
The Noble Demoiselle
PUZZLING TIMES AT SOLVAMHALL CASTLE
A Chain Puzzle.
Unclassified Problems.
The Four Kangaroos.
The Guarded Chessboard
The Host's Puzzle
CANTERBURY PUZZLES
The Bun Puzzle.
Various Dissection Puzzles
St. George's Banner.
Patchwork Puzzles
The Eight Clowns
MISCELLANEOUS PUZZLES
Under The Veil.
Chessboard Problems
The Grocer And Draper.
Money Puzzles
The Postage Stamps Puzzles
THE PROFESSOR'S PUZZLES