On the existence of U-polygons of class c≥4 in planar point sets.
Discrete Mathematics, 309(16) pp. 4977–4981.
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≥4 with all their vertices in certain subsets of the plane and derive explicit results in the case of cyclotomic model sets.
||2009 Elsevier B.V.
|Project Funding Details:
|Funded Project Name||Project ID||Funding Body|
|Combinatorics of Sequences and Tilings and its Applications||EP/D058465/1||EPSRC (Engineering and Physical Sciences Research Council)|
||algebraic Delone set; U-polygon; affinely regular polygon; cyclotomic model set
||Mathematics, Computing and Technology > Mathematics and Statistics
||22 Sep 2010 15:22
||24 Mar 2014 13:55
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