Abstract

On some unrelated problems about planar arrangements of lines

Rom Pinchasi
Technion - Israel Institute of Technology

We start with the following result: Given an arrangement of $n$ lines in general position in the plane, there always exists a simple closed $n$-gon whose $n$ edges lie on the $n$ different lines, respectively.
(joint with E. Ackerman, L. Scharf, and M. Scherfenberg)

As time permits we introduce one or two additional results on planar lines arrangements.