{"title":"Representing Catalan solids in temari","authors":"C. Yackel","doi":"10.1080/17513472.2022.2145585","DOIUrl":null,"url":null,"abstract":"ABSTRACT All thirteen Catalan solids can be depicted in spherical form via the medium of temari. Eleven of these are obtained by combining Schwartz triangles arising from standard sets of temari guidelines, while the other two correspond to the enantiamorphic Catalans. Examining the thirteen temari in this paper illuminates the symmetries in the Catalan solids. Alternatively, considering the symmetry groups of the solids and their combinatorial properties gives information relevant to their stitching. GRAPHICAL ABSTRACT","PeriodicalId":42612,"journal":{"name":"Journal of Mathematics and the Arts","volume":"47 1","pages":"271 - 286"},"PeriodicalIF":0.3000,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and the Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17513472.2022.2145585","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 1
Abstract
ABSTRACT All thirteen Catalan solids can be depicted in spherical form via the medium of temari. Eleven of these are obtained by combining Schwartz triangles arising from standard sets of temari guidelines, while the other two correspond to the enantiamorphic Catalans. Examining the thirteen temari in this paper illuminates the symmetries in the Catalan solids. Alternatively, considering the symmetry groups of the solids and their combinatorial properties gives information relevant to their stitching. GRAPHICAL ABSTRACT