On weak lattice point visibility

Neil R. Nicholson; Rebecca Rachan

doi:10.2140/involve.2016.9.411

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Home > Journals > Involve > Volume 9 > Issue 3 > Article

2016 On weak lattice point visibility

Neil R. Nicholson, Rebecca Rachan

Involve 9(3): 411-414 (2016). DOI: 10.2140/involve.2016.9.411

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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.