Some extremal problems for polygons in the Euclidean plane
Metric Geometry
2023-11-28 v2
Abstract
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations, but rather intricate proofs. Related and still unsolved problems are discussed too.
Keywords
Cite
@article{arxiv.2209.05940,
title = {Some extremal problems for polygons in the Euclidean plane},
author = {Yu. G. Nikonorov and O. Yu. Nikonorova},
journal= {arXiv preprint arXiv:2209.05940},
year = {2023}
}
Comments
18 pages, 15 pictures. Typos corrected. Comments are welcome!