{"title":"Combinatorial Complexity of the Signature of a Natural Tiling","authors":"D. A. Banaru","doi":"10.1134/S1063774524602570","DOIUrl":null,"url":null,"abstract":"<p>An additive model has been developed for calculating the combinatorial (Shannon-like) complexity of the signature of a natural tiling, which is used to describe the topological properties of micro- and mesoporous materials, in particular, zeolites. To calculate the complexity of this type, a Python program code has been compiled. The code was tested for zeolite-type tilings. Correlations of the calculated complexity of the signature of the tiling and the combinatorial complexity of the structure-generating tiling were found.</p>","PeriodicalId":527,"journal":{"name":"Crystallography Reports","volume":"70 1","pages":"151 - 157"},"PeriodicalIF":0.6000,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Crystallography Reports","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1063774524602570","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CRYSTALLOGRAPHY","Score":null,"Total":0}
引用次数: 0
Abstract
An additive model has been developed for calculating the combinatorial (Shannon-like) complexity of the signature of a natural tiling, which is used to describe the topological properties of micro- and mesoporous materials, in particular, zeolites. To calculate the complexity of this type, a Python program code has been compiled. The code was tested for zeolite-type tilings. Correlations of the calculated complexity of the signature of the tiling and the combinatorial complexity of the structure-generating tiling were found.
期刊介绍:
Crystallography Reports is a journal that publishes original articles short communications, and reviews on various aspects of crystallography: diffraction and scattering of X-rays, electrons, and neutrons, determination of crystal structure of inorganic and organic substances, including proteins and other biological substances; UV-VIS and IR spectroscopy; growth, imperfect structure and physical properties of crystals; thin films, liquid crystals, nanomaterials, partially disordered systems, and the methods of studies.