矩形，曲线和克莱因瓶

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2021-09-13 DOI:10.1090/bull/1755

R. Schwartz

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引用次数: 2

摘要

在这篇文章中，我将调查一些关于在约旦曲线中刻划三角形和四边形的结果。我将重点关注Josh Greene和Andrew Lobb最近的结果，他们说，对于任何光滑嵌入循环C和任何纵横比λ， C中有四个点构成纵横比λ矩形的顶点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rectangles, curves, and Klein bottles

In this article I will survey some results about inscribing triangles and quadrilaterals in Jordan curves. I will focus on the recent result of Josh Greene and Andrew Lobb, which says that for any smooth embedded loop C and any aspect ratio λ, there are four points in C which make the vertices of a rectangle of aspect ratio λ.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.