The discovery of most possible ways to fasten a tie is dependent upon a statistical formulation of the act of tying a tie up. With their paperwork (that are specialized) and book (that is for the place viewers, aside from an appendix), the experts reveal that necktie knots are comparable to prolonged random strolls over a triangular lattice, with some constraints how the strolls start and conclusion. As a result enumerating fasten knots of n goes is equivalent to enumerating walks of n steps. Imposing the conditions of balance and symmetry lessens the 85 knots to 13 aesthetic kinds. How to Tie a Tie