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Sun, 01 Jan 2012Things I wonder about
It is well known that a jostled string tends to become knotted; yet the factors governing the “spontaneous” formation of various knots are unclear. We performed experiments in which a string was tumbled inside a box and found that complex knots often form within seconds. We used mathematical knot theory to analyze the knots. Above a critical string length, the probability P of knotting at first increased sharply with length but then saturated below 100%. This behavior differs from that of mathematical self-avoiding random walks, where P has been proven to approach 100%. Finite agitation time and jamming of the string due to its stiffness result in lower probability, but P approaches 100% with long, flexible strings. I'm not certain what a selfpavoiding random walks are, but your headphones are long, flexible strings. Now if they could just study Breedlove's law of plugs which states A plug will always plug into the socket in the opposite direction that it naturally lays.
posted 09:43 [/SimpleThings] permanent link |
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