I was reading online yesterday about these two dudes at Cambridge a coupla years ago who were wearing neckties (as is required in the dining halls at Cambridge still, apparently) and they came up with mathematic formulae to come up with the maximum number of aesthetic (i.e., mostly balanced) necktie knots. Not only did they come up with 85 knots (many of which, not surprisingly, were kinda ugly), they came up with a common NOTATION with which you could describe any knot. The notation is fairly simple, in spite of what a crazy and often confusing task tie-tying can be. My mind was kind of blown that someone had reduced something so abstract as tie-tying down to a mathematical formula. Man, math is so sweet.
Anyway, there's some book all about the 85 ways to tie yer tie and shit but it's only available in Great Britain and Germany. The site I was on did show the notation for the Windsor knot (just as practice, I guess), and the notation for one other knot that was a favorite among the two guys who made up all this crap (math students, no doubt). They called it the "7, 2." After learning the notation (which is so convenient--you can explain to someone how a knot is tied, at least, in a necktie, entirely without diagrams!) and trying it out myself, I've found it's my new favorite way to tie my tie; I really think it beats the Windsor, the Half-Windsor, the Four-In-Hand, and the Platt (or is it Pratt?), hands down (these four knots are the four most typically-used knots).
Math plus neckties equals awesomeness.