{"title":"Ax, 3 polyominoes for tiling the plane non-periodically","authors":"Vincent Van Dongen, Pierre Gradit","doi":"arxiv-2407.06202","DOIUrl":null,"url":null,"abstract":"How do people come up with new sets of tiles including new tile shapes that\nwould only tile non-periodically? This paper presents our graphical journey in\ntilings and provides a new set of three polyominoes named Ax for its\nrelationship with Ammann A4.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"31 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.06202","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
How do people come up with new sets of tiles including new tile shapes that
would only tile non-periodically? This paper presents our graphical journey in
tilings and provides a new set of three polyominoes named Ax for its
relationship with Ammann A4.