{"title":"Sphere decompositions of hypercubes","authors":"R. Hammack, P. C. Kainen","doi":"10.26493/2590-9770.1285.fd8","DOIUrl":null,"url":null,"abstract":"For d ≡ 1 or 3 (mod 6), the 2-skeleton of the d-dimensional hypercube is decomposed into the union of pairwise face-disjoint isomorphic 2-complexes, each a topological sphere. If d = 5, then such a decomposition can be achieved, but with non-isomorphic spheres.","PeriodicalId":236892,"journal":{"name":"Art Discret. Appl. Math.","volume":"104 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Art Discret. Appl. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/2590-9770.1285.fd8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
For d ≡ 1 or 3 (mod 6), the 2-skeleton of the d-dimensional hypercube is decomposed into the union of pairwise face-disjoint isomorphic 2-complexes, each a topological sphere. If d = 5, then such a decomposition can be achieved, but with non-isomorphic spheres.