Eighty-five ways to tie a tie
In 1999 two physicists proved that there are exactly eighty-odd aesthetic tie knots. Why that limit is more beautiful than infinity would be.
Most men know two tie knots. The four-in-hand, the one your father taught you, and the Windsor, for when it needs to be a touch too much. After that it stops. What almost no one knows is that someone has worked out exactly how many knots there really are.
In 1999 two physicists, Thomas Fink and Yong Mao, published a paper in Nature. They translated the tying of a tie into a mathematical problem, a walk across a triangular lattice, and counted every aesthetically acceptable outcome within reasonable bounds. There were eighty-five. Of those eighty-five, only a handful had ever been in use.
Why a limit is beautiful
You would expect infinite possibilities to sound more appealing. They do not. An infinite space cannot be surveyed and so cannot be mastered. A bounded space you can come to know. Eighty-five is a number you can do something with. You can go through them, choose the finest, leave the rest.
Almost every real skill works this way. Cooking, dressing, mixing, building. The art lies not in infinite freedom, but in knowing the limits and, within them, knowing exactly what you are doing.