{"title":"三角针织披肩","authors":"Berit Nilsen Givens","doi":"10.1080/17513472.2023.2197832","DOIUrl":null,"url":null,"abstract":"We investigate a variation on Pascal's triangle and approximations to Sierpinski's triangle, by considering the coefficients in the trinomial expansion . These trinomial coefficients have many properties similar to those of the binomial coefficients. We illustrate the triangle of numbers with a knitted shawl. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":"193 1","pages":"178 - 193"},"PeriodicalIF":0.3000,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The trinomial triangle knitted shawl\",\"authors\":\"Berit Nilsen Givens\",\"doi\":\"10.1080/17513472.2023.2197832\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate a variation on Pascal's triangle and approximations to Sierpinski's triangle, by considering the coefficients in the trinomial expansion . These trinomial coefficients have many properties similar to those of the binomial coefficients. We illustrate the triangle of numbers with a knitted shawl. GRAPHICAL ABSTRACT\",\"PeriodicalId\":42612,\"journal\":{\"name\":\"Journal of Mathematics and the Arts\",\"volume\":\"193 1\",\"pages\":\"178 - 193\"},\"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/10.1080/17513472.2023.2197832\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and the Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17513472.2023.2197832","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
We investigate a variation on Pascal's triangle and approximations to Sierpinski's triangle, by considering the coefficients in the trinomial expansion . These trinomial coefficients have many properties similar to those of the binomial coefficients. We illustrate the triangle of numbers with a knitted shawl. GRAPHICAL ABSTRACT