Our understanding of crowd dynamics is presently limited in important ways; in particular, the lack of a geometrically predictive theory of crowd behavior restricts the ability for authorities to intervene appropriately, or even to recognize when such intervention is needed. This is not merely an idle theoretical investigation: given increasing population sizes and thus increasing opportunity for the formation of large congregations of people, death and injury due to trampling and crushing even within crowds that have not formed under common malicious intent is a growing concern among police, military and emergency services. This paper represents a contribution towards the understanding of crowd behavior for the purpose of better informing decisionmakers about the dangers and likely consequences of different intervention strategies in particular circumstances. In this chapter, we have proposed an entropic geometrical model of crowd dynamics, with dissipative kinematics, that operates across macro, micro and mesolevels. This proposition is motivated by the need to explain the dynamics of crowds across these levels simultaneously: we contend that only by doing this can we expect to adequately.