Abstract
Given S 1 , a finite set of points in the plane, we define a sequence of point sets S i as follows: With S i already determined, let L i be the set of all the line segments connecting pairs of points of ⋃ j = 1 i S j , and let S i + 1 be the set of intersection points of those line segments in L i , which cross but do not overlap. We show that with the exception of some starting configurations the set of all crossing points ⋃ i = 1 ∞ S i is dense in a particular subset of the plane with nonempty interior. This region is the intersection of all closed half planes which contain all but at most one point from S 1 .
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
