Thomas FerniqueHSE, Moscow, Russia, Olga Mikhailovna SizovaSemenov Institute of Chemical Physics, Moscow, Russia
{"title":"Square-Triangle Tilings: Lift & Flip to Sample?","authors":"Thomas FerniqueHSE, Moscow, Russia, Olga Mikhailovna SizovaSemenov Institute of Chemical Physics, Moscow, Russia","doi":"arxiv-2406.16402","DOIUrl":null,"url":null,"abstract":"We introduce an elementary transformation called flips on tilings by squares\nand triangles and conjecture that it connects any two tilings of the same\nregion of the Euclidean plane.","PeriodicalId":501216,"journal":{"name":"arXiv - CS - Discrete Mathematics","volume":"210 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 - CS - Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16402","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
We introduce an elementary transformation called flips on tilings by squares
and triangles and conjecture that it connects any two tilings of the same
region of the Euclidean plane.