Abstract
In the paper, packings built of identical cuboids with a square base created by random sequential adsorption are studied. The result of the study show that the packing of the highest density are obtained for oblate and prolate cuboids of the edge-edge length ratios of $0.7$ and $1.4$. For both cases, the packing fraction is $0.400 \pm 0.002$, which is approximately 8% higher than the value reported for cubes. Additionally, because the crucial part of the packing generation algorithm is the cuboid-cuboid intersection detection, several methods were tested. It appears that the fastest one is based on the separating axis theorem.
Highlights
Random sequential adsorption (RSA) [1, 2] is a protocol for generating random packings of arbitrary objects
— The virtual particle is checked if it intersects with other particles that were previously added to the packing
The secondary goal of this study is to find the most effective method for determining cuboid–cuboid intersection, which is crucial for efficient packing generation, and in collision detection [21, 22]
Summary
Random sequential adsorption (RSA) [1, 2] is a protocol for generating random packings of arbitrary objects. It is based on subsequent repetitions of the following steps:. — A virtual, randomly oriented particle is placed inside a packing at random position. — If there are no overlaps, the virtual particle is added to the packing. Iterations end when there is no place for adding another particle to the packing.
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