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

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 $(…