536 Puzzles and Curious Problems

(Elliott) #1
Paper Folding Puzzles 127

square rug 10 feet by 10 feet. How did she do it? Of course, no allowance is
to be made for turnings.


  1. FOLDING A HEXAGON


Paper folding is a branch of puzzle-
dom both instructive and interesting.
I do not refer to folding paper into the
forms of boxes, boats, frogs, and such
things, for these are toys rather than
puzzles, but to the solving of certain
geometrical problems with paper and
fingers alone.
I will give a comparatively easy
example. Suppose you are given a
perfectly square piece of paper, how
are you going to fold it so as to indi-
cate by creases a regular hexagon, as
shown in the illustration, all ready to
be cut out? Of course, you must use
no pencil, measure, or instrument of


any kind whatever. The hexagon may
be in any position in the square.


  1. FOLDING A PENTAGON


Here is another puzzle in paper
folding of a rather more difficult char-
acter than the hexagon example that
we have considered. If you are given
a perfectly square piece of paper, how
are you to fold it so as to indicate by
creases a regular pentagon, as in our
illustration all ready to be cut out?
Remember that you must use your
fingers alone, without any instrument
or measure whatever.

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