The 85 Ways to Tie a Tie (ISBN 1-84115-249-8) is a book by Thomas Fink and Yong Mao.
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In their papers (which are technical) and book (which is for a lay audience, apart from an appendix), the authors show that necktie knots are equivalent to persistent random walks on a triangular lattice, with some constraints on how the walks begin and end.
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