On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane
Yaakov S. Kupitz, Horst Martini, Micha A. Perles · arXiv (Cornell University) · 2010
We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple $n$-gon, $n \ge 3$, in the plane as a function of $n$, and describe an $n$-gon $(n \ge 3)$ for which both upper bounds (for the interior and the exterior) are attained \emph{simultaneously}.