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In this work, therefore, we perform numerical analysis on the particle-packing structures on a spherical surface. The particles are assumed to have uniform radius and connected by inter-particle interaction. The particle position is justified to minimize the inter-particle interaction, which is assumed to be represented by two-body potential function. In this context, the algorithm is consistent with the molecular dynamics method. The number of particles N and radius ratio x of the particles to the central large sphere are varied as the model parameters. Figure 1 shows example of the calculation results. The color indicates the number of the neighboring particles, where the red ones indicate those with six neighbors, i.e. hexagonal close packing. On a sphere surface, it is impossible to fill all the space by the hexagonal packing, and some defects are needed. The optimized arrangement of the defects presents a regular pattern. Systematic calculations for various values in N and x are demonstrated, and the preferable combinations are investigated.

simulation