Vol. 9, No. 3, 2016

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ISSN: 1944-4184 (e-only)
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On weak lattice point visibility

Neil R. Nicholson and Rebecca Rachan

Vol. 9 (2016), No. 3, 411–414
Abstract

We say that a point Q in a specific rectangular array of lattice points is weakly visible from a lattice point P not in the array if no point in the array other than Q lies on the line connecting the external point P to Q. A necessary and sufficient condition for determining if a point in the array is weakly viewable by the external point, as well as the number of points that are weakly visible from the external point, is determined.

Keywords
weak visibility, lattice point
Mathematical Subject Classification 2010
Primary: 11H06
Milestones
Received: 1 December 2014
Revised: 20 March 2015
Accepted: 5 April 2015
Published: 3 June 2016

Communicated by John C. Wierman
Authors
Neil R. Nicholson
Department of Mathematics
North Central College
30 North Brainard Street
Naperville, IL 60540
United States
Rebecca Rachan
Department of Mathematics
North Central College
30 North Brainard Street
Naperville, IL 60540
United States