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Weakly viewing
lattice points
Neil R. Nicholson and R. Christopher Sharp
Vol. 3 (2010), No. 1, 9–16
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Abstract |
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A specific rectangular array of lattice points is investigated. We say that the array is weakly visible from a lattice point not in the array if no point in the array lies on the line connecting the external point to any other point in the array. A lower bound is found for the distance from a weakly viewing point to the array, and a point of minimal distance is determined for arrays of a specific size. A secondary type of visibility is also discussed, and a closest point viewing the array in this style is completely determined. |
Keywords
weak visibility, lattice point
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Mathematical Subject Classification 2000
Primary: 11H06
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Milestones
Received: 12 March 2009
Accepted: 8 March 2010
Published: 20 April 2010
Communicated by Gaven J. Martin
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Authors |
| Neil R. Nicholson | |
| William Jewell College 500 College Hill, Box 1107 Liberty, MO 64068 United States |
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| R. Christopher Sharp | |
| Department of Mathematics University of Kansas 405 Snow Hall 1460 Jayhawk Boulevard Lawrence, KS 66045 United States |
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