How Did Sherlock Know Which Way The Bike Was Headed?

And while this is very interesting, I do wonder about the rake implications and how I can determine bike handling characteristics based on it.  I will ponder that and look for a mathematical answer, perhaps from differential geometry.

Mathematical Impressions: Bicycle Tracks

A nice mathematical puzzle, with a solution anyone can understand, is to determine the direction a bicycle went when you come upon its tracks. The answer involves thinking about tangent lines, geometric constraints and the bicycle’s steering mechanism.