{"title":"魔方的变种","authors":"Mathieu Dutour Sikiri'c","doi":"10.5592/co/ccd.2020.03","DOIUrl":null,"url":null,"abstract":"The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any $3$-valent map. We prove an upper bound on the size of the corresponding group which we conjecture to be tight.","PeriodicalId":253304,"journal":{"name":"Proceedings of the 3rd Croatian Combinatorial Days","volume":"364 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A variation on the Rubik's cube\",\"authors\":\"Mathieu Dutour Sikiri'c\",\"doi\":\"10.5592/co/ccd.2020.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any $3$-valent map. We prove an upper bound on the size of the corresponding group which we conjecture to be tight.\",\"PeriodicalId\":253304,\"journal\":{\"name\":\"Proceedings of the 3rd Croatian Combinatorial Days\",\"volume\":\"364 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 3rd Croatian Combinatorial Days\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5592/co/ccd.2020.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 3rd Croatian Combinatorial Days","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5592/co/ccd.2020.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Rubik's cube is a famous puzzle in which faces can be moved and the corresponding movement operations define a group. We consider here a generalization to any $3$-valent map. We prove an upper bound on the size of the corresponding group which we conjecture to be tight.
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