Some extremal problems for polygons in the Euclidean plane
arXiv:2209.05940 · doi:10.1007/s00010-023-00991-w
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.
18 pages, 15 pictures. Typos corrected. Comments are welcome!