Here's a nice 3blue1brown video about the easier version of the inscribed rectangle problem, that some inscribed rectangle exists: https://www.youtube.com/watch

Here's a nice 3blue1brown video about the easier version of the inscribed rectangle problem, that some inscribed rectangle exists: https://www.youtube.com/watch?v=AmgkSdhK4K8 https://www.youtube.com/watch?v=AmgkSdhK4K8 And I remember thinking this was a nice overview of some aspects of the "square peg problem" (the Toeplitz conjecture): https://www.ams.org/notices/201404/rnoti-p346.pdf https://www.ams.org/notices/201404/rnoti-p346.pdf