536 Puzzles and Curious Problems

(Elliott) #1
128 Geometrical Problems


  1. FOLDING AN OCTAGON


Can you cut the regular octagon from a square piece of paper without using
compasses or ruler, or anything but scissors? You can fold the paper so as to
make creases.


  1. SQUARE AND TRIANGLE


Take a perfectly square piece of paper, and so fold it as to form the largest
possible equilateral triangle. A triangle in which the sides are the same length

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as those of the square, as shown in our diagram, will not be the largest pos-
sible. Of course, no markings or measurements may be made except by the
creases themselves.

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