Ellipticity distributions for a uniform axis ratio distribution. Top: a 2D histogram of ellipticities. Middle: histogram of the absolute ellipticity | e |. Bottom: histogram of the ellipse axis ratio q. A cut-off near q ≈ 0.2 is suggested by observations and produces standard deviations in each ellipticity component of σ_e ≈ 0.25, comparable to most survey shape measurement catalogs.