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'Paper Curves' printed from http://nrich.maths.org/
Take a long (at least 200cm) piece of narrow paper:
Fold it in half by taking the right end over to the left (the
pictures show it slightly opened just to make it clearer):
Fold it in half again, right over left:
(It may be that you always prefer to fold
left over to the right - that's ok, as long as you are always doing
1. Keep on
folding into halves as many times as you can.
2. Press VERY
hard onto the fold to make good creases.
3. Open out
the paper so that it stands up on edge like in the pictures and
make each fold a right angle (re-creasing may be necessary, but do
not reverse the fold).
4. Stand a
long way above and look down at what you can see!
with others what you notice.