Thomas FerniqueHSE, Moscow, Russia, Olga Mikhailovna SizovaSemenov Institute of Chemical Physics, Moscow, Russia
{"title":"正方形-三角形天花板:举起并翻转以取样?","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":"{\"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}","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}
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.