A quantitative version of Tao's result on the Toeplitz Square Peg Problem
Abstract
Building on a result by Tao, we show that a certain type of simple closed curve in the plane given by the union of the graphs of two 1-Lipschitz functions inscribes a square whose sidelength is bounded from below by a universal constant times the maximum of the difference of the two functions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.