In Fink and Mao's method the space surrounding the tie is split into three sections: left, centre and right. To begin the wide end of the tie is passed either over or under the narrow part. The knotting process then continues with a series of half turns or moves either towards or away from the shirt. By taking "random walks" along the lattice, Fink and Mao devised a mathematical formula for the knots. Although they were able to generate a total of 85 knots with the formula, only 10 were deemed aesthetically pleasing.