I never realized this before, but I think I've actually invented a new way to tie a necktie. I've been doing it the same way for years, but it is different from any of the knots presented on this site. My technique produces a symmetric knot which falls apart when the short end is removed. It is distinguished from all the other knots by having the long end go behind the short end as the first step. It's a little hard to describe how it goes from there without images, but you basically do the first half of a Windsor backwards, wrap the long end around the front, and then finish like a regular Windsor.
Maybe I should apply for a patent :-)