The discrete square peg problem

Igor Pak

The discrete square peg problem

Metric Geometry 2008-04-07 v1 Combinatorics

Authors: Igor Pak

Abstract

The square peg problem asks whether every Jordan curve in the plane has four points which form a square. The problem has been resolved (positively) for various classes of curves, but remains open in full generality. We present two new direct proofs for the case of piecewise linear curves.

Keywords

algebraic curves rational points on curves curves

Cite

@article{arxiv.0804.0657,
  title  = {The discrete square peg problem},
  author = {Igor Pak},
  journal= {arXiv preprint arXiv:0804.0657},
  year   = {2008}
}