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. 2017 Feb 17;8:14439. doi: 10.1038/ncomms14439

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Copyright © 2017, The Author(s)

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(a) The distribution of spatial similarity statistics for tree comparisons of depth 2 and locality 2 (Φ₂₂) for an amorphous diamond network. (b) LSU distributions Φ_n2 of amorphous diamond for different tree depths n. (c) Φ₂₂ for a 216-vertex sample comprising a single gyroid crystallite suspended in amorphous gyroid, demonstrating LSU's ability to differentiate between phases. (d) Φ₂₂ distributions for two characteristic types of amorphous gyroid network—type-1 (1-tree local order) and type-2 (2-tree local order).