A Quasi Physical Method for the Equal Sphere Packing Problem

Based on a quasi physical model, we design a heuristic strategy called the serial symmetrical relocation strategy to deal with the equal sphere packing problem. The method is quite efficient in terms of the quality of the numerical results. We densely packed up to 200 equal spheres in spherical container and up to 100 equal spheres in cube container. All our results are rigorous because of a fake sphere trick.