Robert Connelly, Bill Jackson, Shin-ichi Tanigawa, Zhen Zhang
{"title":"Globally Rigid Convex Braced Polygons","authors":"Robert Connelly, Bill Jackson, Shin-ichi Tanigawa, Zhen Zhang","doi":"arxiv-2409.09465","DOIUrl":null,"url":null,"abstract":"Here we propose a class of frameworks in the plane, braced polygons, that may\nbe globally rigid and are analogous to convex polyopes in 3 space that are\nrigid by Cauchy's rigidity Theorem in 1813.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09465","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
Here we propose a class of frameworks in the plane, braced polygons, that may
be globally rigid and are analogous to convex polyopes in 3 space that are
rigid by Cauchy's rigidity Theorem in 1813.