Which Way Did You Say That Bicycle Went? David L. Finn Rose-Hulman Institute of Technology Problem Statement I Problem Statement II Solution to Original Problem Outline of Construction of Ambiguous Tracks Animations and Examples of Ambiguous Tracks Geometry of Tire Tracks Part I of Solution: Creating an Initial Piece of Track Part II of Solution Extending the Track References Problem Statement I Imagine that you come across the following set of tire tracks that were created by a bicycle, can you determine which way the bicycle went? In the diagram above, the front tire track is in green and the back tire track is in red. On these pages, we outline a construction method to produce examples of bicycle tracks for which you can not determine the direction the bicycle wen, such as in the figure above. This provides examples of track for which the solution to the title problem of the book, Which way did the bicycle go? does not apply. These pages are an abbreviated version of the paper "Which way did you say that bicycle went? appearing in the December 2004 issue of Mathematics Magazine.