Theory of Tieknots
Library Home 
Full Table of Contents 
Suggest a Link 
Library Help
http://www.tcm.phy.cam.ac.uk/~ym101/tie/aps97tie.html  


Yong Mao  
The mathematical theory behind tying a necktie, with illustrations of the Four in Hand, the Pratt Knot, the HalfWindsor, and the FullWindsor, and a classification of necktie knots with respect to size and shape. Tying a tie knot is equivalent to a persistent random walk on a triangular lattice. Using this model, the number of all possible knots in each class (set by the number of total and centre moves, respectively) is calculated. The optimal knot in each class is determined by the aesthetic conditions of symmetry and balance. Of the 85 tie knots found, the model predicts the four knots in widespread use and introduces nine new ones.  


Levels:  High School (912), College, Research 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Order/Lattices, Knot Theory 
[Privacy Policy] [Terms of Use]
© 1994 The Math Forum at NCTM. All rights reserved.
http://mathforum.org/