{"title":"Designing paths for box shapes using a Rubik’s Snake","authors":"Songming Hou","doi":"10.15406/iratj.2022.08.00246","DOIUrl":null,"url":null,"abstract":"A Rubik’s Snake is a toy that was invented over 40 years ago together with the more famous Rubik’s Cube. It starts with a straight ruler and could be twisted into many interesting shapes. One important type of shapes is a box shape. Many complicated shapes can be constructed as a combination of box shapes. Therefore it is a fundamental problem to study the box shape. We constructed a path for a general box shape and derived a counting formula. Some other properties and application were also discussed.","PeriodicalId":346234,"journal":{"name":"International Robotics & Automation Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Robotics & Automation Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15406/iratj.2022.08.00246","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
A Rubik’s Snake is a toy that was invented over 40 years ago together with the more famous Rubik’s Cube. It starts with a straight ruler and could be twisted into many interesting shapes. One important type of shapes is a box shape. Many complicated shapes can be constructed as a combination of box shapes. Therefore it is a fundamental problem to study the box shape. We constructed a path for a general box shape and derived a counting formula. Some other properties and application were also discussed.