Robotic BuildingPub Date : 2019-12-31DOI: 10.11129/9783955534257-015
H. Ruan, And YANG WANG, Jian-Ci Xiao
{"title":"Many","authors":"H. Ruan, And YANG WANG, Jian-Ci Xiao","doi":"10.11129/9783955534257-015","DOIUrl":"https://doi.org/10.11129/9783955534257-015","url":null,"abstract":". In a previous work joint with Dai and Luo, we show that a connected generalized Sierpi´nski carpet (or shortly a GSC) has cut points if and only if the associated n -th Hata graph has a long tail for all n ≥ 2. In this paper, we extend the above result by showing that it suffices to check a finite number of those graphs to reach a conclusion. This criterion provides a truly “algorithmic” solution to the cut point problem of connected GSCs. We also construct for each m ≥ 1 a connected GSC with exactly m cut points and demonstrate that when m ≥ 2, such a GSC must be of the so-called fragile type.","PeriodicalId":185294,"journal":{"name":"Robotic Building","volume":"312 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115444432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Robotic BuildingPub Date : 2019-12-31DOI: 10.11129/9783955534257-003
Mollie Claypool, Manuel Jiménez García, G. Retsin, V. Soler
{"title":"Craft","authors":"Mollie Claypool, Manuel Jiménez García, G. Retsin, V. Soler","doi":"10.11129/9783955534257-003","DOIUrl":"https://doi.org/10.11129/9783955534257-003","url":null,"abstract":"","PeriodicalId":185294,"journal":{"name":"Robotic Building","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126745311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}