Fig. 2 | Nature Communications

Fig. 2

From: Universal hidden order in amorphous cellular geometries

Fig. 2

Convergence of Lloyd’s algorithm in 3D. Shown is a subset of a 3D system at step number N = 1 (initial tessellation), N = 5, and N = 12202 (final tessellation); see also the Supplementary Movie 1. The initial configuration is a 3D hyperfluctuating point set. The distributions f(v) of cell volumes v demonstrate the high degree of uniformity in cell volumes in the final states. The dimensionless total energy converges to a value 〈et〉 ≈ 1.008 × eBCC slightly above the value eBCC = 0.07854 of the optimal BCC lattice

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