Interestingly, if you take a not-quite-so-narrow strip of paper, say one inch wide, and you tie it into an overhand knot, and then you gently tighten the knot and flatten it, you wind up with a pentagon - all the internal angles are 108 degrees, and the unfolded strip of paper will be full of folds in multiples of 36 degrees instead of the fold-created multiples of 45s and 60s that we're more used to.

Edit: Just to be explicit - here's a site with a picture of an overhand knot:
http://www.swcp.com/csar/knots/knots1.shtml