{"title":"大周期球体填料的伍尔夫形状","authors":"J. Wills","doi":"10.1090/dimacs/051/27","DOIUrl":null,"url":null,"abstract":"We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.","PeriodicalId":145977,"journal":{"name":"Discrete Mathematical Chemistry","volume":"605 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Wulff-shape of large periodic sphere packings\",\"authors\":\"J. Wills\",\"doi\":\"10.1090/dimacs/051/27\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.\",\"PeriodicalId\":145977,\"journal\":{\"name\":\"Discrete Mathematical Chemistry\",\"volume\":\"605 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematical Chemistry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/dimacs/051/27\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematical Chemistry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/dimacs/051/27","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.
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