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Make a hole (Posted on 2005-10-02) Difficulty: 2 of 5
You have a square thin piece of paper, 1-inch side. Can you, using only a blade (or a pair of scissors or whatever), make a hole in this paper and through it pass a solid sphere with diameter, say, 5 inches?

  Submitted by pcbouhid    
Rating: 3.4000 (5 votes)
Solution: (Hide)
Some users confused "hole" with "loop", that are quite differents.

The piece of paper looks like this:
            A                       B
            +-----------------------+
            |                       |
            |                       |
            |                       |
            |                       |
            |                       |
            |                       |
            |                       |
            |                       |
            +-----------------------+
            C                       D
Fold it by the medium line, so that CD coincides with AB, obtaining:
            A(C)                    B(D)
            +-----------------------+
            |                       |
            |                       |
            |                       |
            |_______________________|
Now, make straight cuts alternately from the bottom (the folding line) and from the top, but not completes, and so that the extreme cuts (by "X" and "Y") are made from the bottom. Like this:
            +-----+-----+-----+-----+
            |  |  |  |  |  |  |  |  |
            |  |  |  |  |  |  |  |  |
            |  |  |  |  |  |  |  |  |
            |__|_____|_____|_____|__|
               X                 Y
Finally, cut the paper in the folding line from X till Y. Unfold the paper and see for yourself the dimension of the hole! The closer the cuts, the bigger the hole.

Now, you are ready to bet your friends and eat some free hamburgers.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Mr Wizard did this one!Christie2005-10-04 18:22:58
SolutionSolution and analysisJer2005-10-03 14:10:14
re: No Subjectpcbouhid2005-10-03 01:43:09
No SubjectDan2005-10-03 01:36:59
re: No Subjectpcbouhid2005-10-02 18:19:18
No SubjectThe riddler2005-10-02 18:05:43
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