This thesis models a system of movement. Any space containing obstacles and needing to be traversed offers resistance to whom or whatever may be trying to navigate it. This resistance transfers directly to inefficiencies of both time and resources. In the case of a city the problem becomes multiplied by both the number and complexity of obstacles and is then exponentially complicated by the number of individuals and their direction of travel. Attempting the removal of all obstacles for all involved is futile. The answer lies in offering an alternative to the majority and doing so in a way that encourages its utilization.