{"title":"On non-periodic 3-Archimedean tilings with 6-fold rotational symmetry","authors":"N. Kinoshita, Kazushi Komatsu","doi":"10.32917/HMJ/1439219705","DOIUrl":null,"url":null,"abstract":"The purpose of this article is to construct a family of uncountably many non-periodic 3-Archimedean tilings with 6-fold rotational symmetry, which admit three types of vertex configurations by regular triangles and squares.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"137-146"},"PeriodicalIF":0.5000,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hiroshima Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/HMJ/1439219705","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The purpose of this article is to construct a family of uncountably many non-periodic 3-Archimedean tilings with 6-fold rotational symmetry, which admit three types of vertex configurations by regular triangles and squares.
期刊介绍:
Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970).
Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.