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Local formulas of polygonal surfaces

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Abstract

Formulas of the local coordination of vertices and faces of simple and dual forms, solids of Plato, Archimedes, Hessel, and Fedorov, Kepler-Shubnikov and Laves nets, maps of potentials and zeolite nets, models of crystal nuclei are presented. All the obtained formulas enter the arrays determined previously. Alphabet formulas of ligand sequences contain no more than 1–7 different letters. The revealed formula sets predetermine the stability of a small number of qualitative and quantitative relations in multi-scale systems and the similarity of local coordination in the ordering and disordering.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    N. L. Smirnova

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  1. N. L. Smirnova
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Correspondence to N. L. Smirnova.

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Original Russian Text Copyright © 2009 by N. L. Smirnova

Translated from Zhurnal Strukturnoi Khimii, Vol. 50, Supplement, pp. S48–S54, 2009.

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Smirnova, N.L. Local formulas of polygonal surfaces. J Struct Chem 50 (Suppl 1), 42–48 (2009). https://doi.org/10.1007/s10947-009-0188-7

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  • DOI: https://doi.org/10.1007/s10947-009-0188-7

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