{"title":"Partitioning the $5\\times 5$ array into restrictions of circles","authors":"R. Dawson","doi":"10.11575/CDM.V15I1.62808","DOIUrl":null,"url":null,"abstract":"We show that there is a unique way to partition a $5\\times 5$ array of lattice points into restrictions of five circles. This result is extended to the $6\\times 5$ array, and used to show the optimality of a six-circle solution for the $6\\times 6$ array.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.11575/CDM.V15I1.62808","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We show that there is a unique way to partition a $5\times 5$ array of lattice points into restrictions of five circles. This result is extended to the $6\times 5$ array, and used to show the optimality of a six-circle solution for the $6\times 6$ array.