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- Newsgroups: sci.math
- Path: sparky!uunet!gatech!emory!wupost!micro-heart-of-gold.mit.edu!news.media.mit.edu!minsky
- From: minsky@media.mit.edu (Marvin Minsky)
- Subject: Re: Two (I think) interesting Problems
- Message-ID: <1992Dec28.031441.17199@news.media.mit.edu>
- Sender: news@news.media.mit.edu (USENET News System)
- Organization: MIT Media Laboratory
- References: <1992Dec23.134651.7759@neptune.inf.ethz.ch> <1992Dec28.013845.23064@infodev.cam.ac.uk>
- Date: Mon, 28 Dec 1992 03:14:41 GMT
- Lines: 18
-
- In article <1992Dec28.013845.23064@infodev.cam.ac.uk> gjm11@cus.cam.ac.uk (G.J. McCaughan) writes:
- >1. To fold a sheet of paper into a regular pentagon: If it's an A4 sheet
- >of paper (or any other of the A... sizes; what matters is that the ratio
- >of the sides should be root(2)) there is a fairly elegant way to do this
- >with perfect accuracy. It goes like this:
-
- Fascinating. We unhappy americans have no convenient source of
- root(2) paper. I suppose we could ask you to fax us a sample. Or we
- could cut out the heart of one of those xmas stars that are popular
- around this time of year.
-
- ANother way to make a "perfect" regular pentagon is to cut a
- rectangular strip of paper and simply tie it into a simple overhand
- knot. Then pull-fold-pull-etc. it until it is flat and tight. Some
- people find this surprising, having never observed this 5-sided
- character of a knotted strip.
-
- .
-