In the late 1990-ies two scientists, Thomas Fink and Yong Mao of the Cavendish laboratory of Cambridge University − with the help of mathematical modeling, concluded that using only nine movements when tying a tie, you can do it 85 different ways.
Thus, until recently believed that there are at least 85 variations of tying a tie. Meanwhile, the Swedish mathematician Michael Vejdemo-Johansson found 177 147 ways.
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While watching the movie "the Matrix Reloaded" helpful Michael Vejdemo-Johansson found a new site that was not among the famous 85. Then, Vejdemo-Johansson and his colleagues wanted to review some of the criteria in the "hump of the tie", questioning a well-known result of Mao and Fink, which, for example, thought that as a result of the tie may form only one fold. The authors of the new study changed that number.