{"title":"平面点阵分割的结构类","authors":"K. G. Seravkin, K. A. Potekhin, A. M. Banaru","doi":"10.3103/S0027131425700129","DOIUrl":null,"url":null,"abstract":"<p>Partition of a plane into polyominoes is a model of two-dimensional crystal structures made of molecules. A catalog and an atlas of all 3205 lattice partitions of a plane into dodecominos are created. Structural patterns of the partitions and their features in relation to molecular crystals are discussed.</p>","PeriodicalId":709,"journal":{"name":"Moscow University Chemistry Bulletin","volume":"80 3","pages":"148 - 156"},"PeriodicalIF":0.5000,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Structural Classes of Lattice Partitions of a Plane into Dodecominos\",\"authors\":\"K. G. Seravkin, K. A. Potekhin, A. M. Banaru\",\"doi\":\"10.3103/S0027131425700129\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Partition of a plane into polyominoes is a model of two-dimensional crystal structures made of molecules. A catalog and an atlas of all 3205 lattice partitions of a plane into dodecominos are created. Structural patterns of the partitions and their features in relation to molecular crystals are discussed.</p>\",\"PeriodicalId\":709,\"journal\":{\"name\":\"Moscow University Chemistry Bulletin\",\"volume\":\"80 3\",\"pages\":\"148 - 156\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Chemistry Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027131425700129\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Chemistry Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027131425700129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Structural Classes of Lattice Partitions of a Plane into Dodecominos
Partition of a plane into polyominoes is a model of two-dimensional crystal structures made of molecules. A catalog and an atlas of all 3205 lattice partitions of a plane into dodecominos are created. Structural patterns of the partitions and their features in relation to molecular crystals are discussed.
期刊介绍:
Moscow University Chemistry Bulletin is a journal that publishes review articles, original research articles, and short communications on various areas of basic and applied research in chemistry, including medical chemistry and pharmacology.