{"title":"The configuration space of almost regular polygons","authors":"S. Goto, Kazushi Komatsu, Junya Yagi","doi":"10.32917/hmj/1595901626","DOIUrl":null,"url":null,"abstract":"A bstract . For a given angle y , consider the configuration space C n of equilateral n -gons in R 3 whose bond angles are equal to y except for two successive ones. We show that when n b 8 and y is su‰ciently close to the inner angle n (cid:1) 2 n p of the regular n -gon, C n is homeomorphic to the ð n (cid:1) 4 Þ -dimensional sphere S n (cid:1) 4 .","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hiroshima Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.32917/hmj/1595901626","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
A bstract . For a given angle y , consider the configuration space C n of equilateral n -gons in R 3 whose bond angles are equal to y except for two successive ones. We show that when n b 8 and y is su‰ciently close to the inner angle n (cid:1) 2 n p of the regular n -gon, C n is homeomorphic to the ð n (cid:1) 4 Þ -dimensional sphere S n (cid:1) 4 .
一个混蛋。For a赐予安格尔y,认为《configuration太空equilateral之C n n -gons在R 3是谁的邦德angles equal to y除了For two successive势力。我们表演那8当n b和y是苏‰ciently接近《内在安格尔n (cid): 1)普通之2 n p n -gon C, n是homeomorphicðn (cid》:1)4Þ-dimensional范围S n (cid: 1) 4。
期刊介绍：
Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970).
Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.
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