Huck, Christian
(2009).
| DOI (Digital Object Identifier) Link: | http://dx.doi.org/doi:10.1016/j.disc.2009.02.035 |
|---|---|
| Google Scholar: | Look up in Google Scholar |
Abstract
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.
| Item Type: | Journal Article |
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| Copyright Holders: | 2009 Elsevier B.V. |
| ISSN: | 0012-365X |
| Funders: | Engineering and Physical Sciences Research Council [grant number EP/D058465/1] |
| Keywords: | algebraic Delone set; U-polygon; affinely regular polygon; cyclotomic model set |
| Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics |
| Item ID: | 23224 |
| Depositing User: | Uwe Grimm |
| Date Deposited: | 22 Sep 2010 15:22 |
| Last Modified: | 23 Oct 2012 14:34 |
| URI: | http://oro.open.ac.uk/id/eprint/23224 |
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