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arXiv 0810.4806math.GNmath.GT
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关于平面内简单闭曲线的内接平方数

On the number of inscribed squares of a simple closed curve in the plane

Strashimir G. Popvassilev

摘要:

我们证明了对于每一个正整数n,在平面上有一条简单闭曲线(它可以是无穷可微的和凸的),它正好有n个内接的正方形。

英文摘要:

We show that for every positive integer n there is a simple closed curve in the plane (which can be taken infinitely differentiable and convex) which has exactly n inscribed squares.

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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