English

A note on the maximal perimeter and maximal width of a convex small polygon

Metric Geometry 2021-08-31 v1

Abstract

The polygon PP is small if its diameter equals one. When n=2sn=2^s, it is still an open problem to find the maximum perimeter or the maximum width of a small nn-gon. Motivated by Bingane's series of works, we improve the lower bounds for the maximum perimeter and the maximum width.

Keywords

Cite

@article{arxiv.2108.13284,
  title  = {A note on the maximal perimeter and maximal width of a convex small polygon},
  author = {Fei Xue and Yanlu Lian and Jun Wang and Yuqin Zhang},
  journal= {arXiv preprint arXiv:2108.13284},
  year   = {2021}
}

Comments

13 pages, 6 figures