536 Puzzles and Curious Problems

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Answers 337


  1. A CREASE PROBLEM


Bisect AB in C and draw the line CO, parallel to BR. Then bisect AC in D
and draw the semicircle DB, cutting the line CO in E. Now the line DEF
gives the direction of the shortest possible crease under the conditions.


G. H

F

A


  1. FOLDING POSTAGE STAMPS


Number the stamps as in the diagram shown previously-that is, I 2 3 4 in
the first row and 5 6 7 8 in the second row. To get the order I 5 6 4 8 7 3 2
(with No. I face upwards, only visible), start this way, with all faces down-
wards:

567 8
123 4

Fold 7 over 6. Lay 4 flat on 8 and tuck them both in between 7 and 6 so
that these four are in the order 7 846. Now bring 5 and 1 under 6, and
it is done.
The order I 3 7 5 6 8 4 2 is more difficult and might well have been over-
looked, if one had not been convinced that, according to law, it must be pos-
sible. First fold so that 5 6 7 8 only are visible with their faces uppermost.
Then fold 5 on 6. Now, between I and 5 you have to tuck in 7 and 8, so that
7 lies on the top of 5, and 8 bends round under 6. Then the order will
be as required.
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