Cutting Slits in a Piece of PaperDate: 02/01/2002 at 10:01:23 From: Scottie Plyler Subject: Hole in paper How can you cut a hole in a piece of paper so a person can go through it? Date: 02/01/2002 at 12:09:37 From: Doctor Ian Subject: Re: Hole in paper Hi Scottie, Take a piece of paper. Fold it in half: +---------------------+ <--- edge of fold | | | | | | | | +---------------------+ Near the left and right sides, and in the middle, cut a slit from the folded edge almost, but not quite, to the other edge: +--.-------.-------.--+ <--- edge of fold | . . . | | . . . | | . . . | | . . . | | | +---------------------+ Now cut two slits in between these slits, coming from the other direction. Again, don't go all the way to the fold: +--.-------.-------.--+ <--- edge of fold | . . . | | . . . . . | | . . . . . | | . . . . . | | . . | +------.--------.-----+ Now cut across the fold, except at the very ends: +--.................--+ <--- edge of fold | . . . | | . . . . . | | . . . . . | | . . . . . | | . . | +------.--------.-----+ Before making this last cut, if you unfold the paper, it should look like this: +------.--------.-----+ | . . | | . . . . . | | . . . . . | | . . . . . | | . . . | | . . . | <------ edge of fold | . . . | | . . . . . | | . . . . . | | . . | | . . | +------.--------.-----+ So the last cut goes here: +------.--------.-----+ | . . | | . . . . . | | . . . . . | | . . . . . | | . . . | | ................. | <------ edge of fold | . . . | | . . . . . | | . . . . . | | . . | | . . | +------.--------.-----+ (It's just easier to make the cut while the paper is still folded.) Now, if you grab the two points labeled A and B, +------.--------.-----+ | . . | | . . . . . | | . . . . . | | . . . . . | | . . . | A | ................. | B | . . . | | . . . . . | | . . . . . | | . . | | . . | +------.--------.-----+ and gently pull them apart, you should find that you've made a surprisingly large hole in the paper! By making more slits, you can make the hole even bigger: +-.---.---.---.---.-+ <--- edge of fold | . . . . . | | . . . . . . . . . | | . . . . . . . . . | | . . . . . . . . . | | . . . . . . . . . | | . . . . | +---.---.---.---.---+ Cut enough slits, and you could drive a _car_ through the hole. I hope this helps. Write back if you'd like to talk more about this, or anything else. - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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