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The percentiles of the void-void spacing distribution are calculated in the same manner for both the monosized and lognormally distributed sphere radii. 1000 spheres are chosen at regular intervals from the sorted list of sphere radii which were used to place the spheres. For monosized spheres, this constitutes 1000 random air voids. For the lognormally distributed radii, this is a statistical ensemble based on the number density. For each of these 1000 spheres, the surface-surface distance to the nearest air void surface is calculated. This collection of distances is an estimate of the averaged distribution given in Eqn. 35. Once sorted in ascending order, the 500 th and 950 th entries correspond to the 50 th and 95 th percentiles of the void-void spacing distribution, respectively.