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arXiv 0905.3683math.MGmath.AG
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具有六边形赤道的柔性悬架

Flexible suspensions with a hexagonal equator

Victor Alexandrov, Robert Connelly

摘要:

本文在欧氏空间中构造了一个六角赤道的柔性(非浸没)悬挂,并研究了它与强波纹猜想有关的性质:如果欧氏空间中的一个浸没多面体$\Cal P$是由另一个浸没多面体$\Cal Q$通过连续挠曲得到的,那么$\Cal P$和$\Cal Q$是剪同余的.

英文摘要:

We construct a flexible (non immersed) suspension with a hexagonal equator in Euclidean 3-space and study its properties related to the Strong Bellows Conjecture which reads as follows: if an immersed polyhedron $\Cal P$ in Euclidean 3-space is obtained from another immersed polyhedron $\Cal Q$ by a continuous flex then $\Cal P$ and $\Cal Q$ are scissors congruent.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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