Paper-Cutting TrickDate: 01/24/2001 at 11:08:16 From: Shirl Henderson Subject: Paper-cutting trick There is a way to cut a sheet of paper to make a hole big enough to walk through. I remember doing this for my students years ago, but cannot remember now how it was done. I do recall it's done by making a continuous cut in an 8 1/2 by 11 sheet of paper that results in a very large circle. The other "oldtimers" in my department recall the trick, but cannot remember how it was done either. Can you help? Date: 01/24/2001 at 17:03:54 From: Doctor Rob Subject: Re: Paper-cutting trick Thanks for writing to Ask Dr. Math, Shirl. Here is a rough diagram: o-------------------------------------------o | | | o-----------------+-----------------o | | | | +-----------------o | o-----------------+ | | | | o-----------------+-----------------o | | | | +-----------------o | o-----------------+ | | | | o-----------------+-----------------o | | | | +-----------------o | o-----------------+ | | | | o-----------------+-----------------o | | | | +-----------------o | o-----------------+ | | | | o-----------------+-----------------o | | | | +-----------------o | o-----------------+ | | | | o-----------------+-----------------o | | | o-------------------------------------------o The thinner you make the strips, and the more cuts from the sides toward the middle, the larger the hole you get when you are done. The cutting may be easier if you fold the paper in half lengthwise before you start. I'm afraid the cut can't be continuous. - Doctor Rob, The Math Forum http://mathforum.org/dr.math/ |
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