Chad's Scratchpad.

Here is my favorite way to tie a tie. The illustration is what you see standing in front of a mirror looking at the reflection of yourself. Click on the image for a larger size.

The 7.3 knot version, as calculated by Cambridge University professors.

 Here is a link to the full study of the mathematical ways to knot a tie - all 85 possible ways:

http://www.tcm.phy.cam.ac.uk/~ym101/tie4/long_article.pdf