We investigate the role of particle shape in determining packing efficiency in Random Apollonian Packings [1] and other related Packing Limited Growth models. We consider a wide set of grain-anisotropy, grain-concavity and shape-mixtures in large packings of up to 10^6 grains for a broad range of particle shapes. We show that the power law exponent in the size distribution of such dense, widely polydisperse packings is related to how efficiently different shapes and different packing strategies fill the empty space, and determine explicit relations between the particle shape properties and the packing efficiency across a range of packing strategies.

1. Relation Between Grain Shape and Fractal Properties in Random Apollonian Packing with Grain Rotation", G.W. Delaney, S. Hutzler and T. Aste, Physical Review Letters, 101, 120602, 2008.