On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets

Details On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets

2008-11-21

arxiv.org/abs/0811.3546v1

Discrete Math. 309 (2009), 4977-4981

Mathematics

Metric Geometry

8 pages, 1 figure

Scientific paper

10.1016/j.disc.2009.02.035

For a finite set $U$ of directions in the Euclidean plane, a convex non-degenerate polygon $P$ is called a $U$-polygon if every line parallel to a direction of $U$ that meets a vertex of $P$ also meets another vertex of $P$. We characterize the numbers of edges of $U$-polygons of class $c\geq4$ with all their vertices in certain subsets of the plane and derive explicit results in the case of cyclotomic model sets.

Affiliated with

Also associated with

No associations

Rating

On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar Point Sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-163383