LOCAL FORMULAS OF POLYGONAL SURFACES
N. L. Smirnova
Keywords: local coordination, formulas, polygonal nets, simple and dual forms, Kepler-Shubnikov and Laves nets, solids of Plato, Archimedes, Hessel, and Fedorov, potential map, zeolite net, models of crystal nucleus forms, abcdefg alphabet
Pages: 48-54
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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