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2010 Weakly viewing lattice points
Neil Nicholson, R. Christopher Sharp
Involve 3(1): 9-16 (2010). DOI: 10.2140/involve.2010.3.9

Abstract

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.

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Neil Nicholson. R. Christopher Sharp. "Weakly viewing lattice points." Involve 3 (1) 9 - 16, 2010. https://doi.org/10.2140/involve.2010.3.9

Information

Received: 12 March 2009; Accepted: 8 March 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1269.11064
MathSciNet: MR3363396
Digital Object Identifier: 10.2140/involve.2010.3.9

Subjects:
Primary: 11H06

Rights: Copyright © 2010 Mathematical Sciences Publishers

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