There has been a history of claims for and against possible numerical evidence for a finite-time singularity of the incompressible three-dimensional Euler equations. Addressing the shortcomings of simply monitoring peak vorticty to discern a singularity, this project aims to instead numerically test the assumptions posed by analytic blowup criteria connecting geometric properties of Lagrangian vortex line segments, like curvature and spreading, to possible finite-time singular behavior.