Rectangles, curves, and Klein bottles
Richard Evan Schwartz · Bulletin of the American Mathematical Society · 2021
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 C and any aspect ratio λ \lambda , there are four points in C C which make the vertices of a rectangle of aspect ratio λ \lambda .