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
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.
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