几乎正多边形的配置空间

Pub Date : 2020-07-01 DOI:10.32917/hmj/1595901626

S. Goto, Kazushi Komatsu, Junya Yagi

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引用次数: 1

摘要

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。

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The configuration space of almost regular polygons

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 .

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