All bad news on the tangling front — if headphones are shaken, as in a pocket or bag while you are walking, the cords will tangle. Shorter, stiffer cords may help a little, but the only thing known to work is a pair of wireless earbuds.
http://www.dvice.com/2014-6-19/math-explains-why-your-earphones-are-always-tangled / pocket earphone earphones ear phone jumbled mess of cords untangle untangling group of physicists study studying earphones tangle maths math several factors knots cords shake shaking agitation cords pocket box factor physics physicists box full of string shake shook complex knots string knot knots 120 different types of prime knots up to seven crossings mathematical theory each type of knot probability length of each string agitation time shake strings longer length longer time more knots stiffness diameter length and agitation time strings shorter than 18 inches knotted less probability knotting increasing longer lengths long flexible cord getting tangled earphone cords getting tangled shorter and stiffer slightly fewer number of knots wireless earbuds /
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