{"title":"A mathematician knits an afghan and counts the number of possible patterns","authors":"Kimberly A. Roth","doi":"10.1080/17513472.2023.2197831","DOIUrl":null,"url":null,"abstract":"The Hue Shift afghan consists of 100 squares knit with 10 colours in a manner determined by a diagram. How many ways can you knit a Hue Shift afghan? What makes an afghan a Hue Shift is defined. Then the number of different afghans is determined up to symmetry considering colour order, stripe order, and direction of knitting for each square. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":"83 1","pages":"85 - 98"},"PeriodicalIF":0.3000,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and the Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17513472.2023.2197831","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
The Hue Shift afghan consists of 100 squares knit with 10 colours in a manner determined by a diagram. How many ways can you knit a Hue Shift afghan? What makes an afghan a Hue Shift is defined. Then the number of different afghans is determined up to symmetry considering colour order, stripe order, and direction of knitting for each square. GRAPHICAL ABSTRACT
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