Mikael Vejdemo-Johansson of the of the KTH Royal Institute of Technology in Sweden, says there are 177,147 potential variations of the knotted tie.
Vejdemo-Johansson apparently came to believe that the number produced by earlier of 85 by Mao and Fink was too small after noting the unique tie knot in the movie “The Matrix Reloaded”. In reexamining the criteria that Mao and Fink used for inclusion, they noted a restriction on the number of tucks that would occur at the end of the tie tying, to just one. The pair, it was noted, also assumed that any knot created would naturally be covered in part by a flat section of fabric. Also, they restricted the number of windings that could be made to just eight, believing any more than that would cause the tie to become too short.
Next, the shoelaces.