Staircase kernels
Evelyn Magazanik, Micha A. Perles · Advances in Geometry · 2008
Abstract Let S ⊂ ℝ2 be a compact staircase connected set with stdiam(S) = n. In [E. Magazanik, M. A. Perles, Staircase connected sets. Discrete Comput. Geom. 37 (2007), 587–599. MR2321743 Zbl] we showed that Ker r (S) is nonempty if , and for , Ker r (S) is staircase connected. In this paper we determine the possible values of the staircase diameter of Ker r (S) for , and present interesting facts about Ker r (S) when and .