Random packing of elliptical disks

We have studied two-dimensional random packings of ellipses. When the aspect ratio is varied, a maximum packing fraction of 0.895 is found. We discuss the detailed dependence of packing fraction on aspect ratio. The results are qualitatively similar to those of Donev et al. [Science 303 990 (2004)], recently reported for the random packing of ellipsoids in three dimensions.