Involve: A Journal of Mathematics

  • Involve
  • Volume 9, Number 3 (2016), 411-414.

On weak lattice point visibility

Neil R. Nicholson and Rebecca Rachan

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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.

Article information

Involve, Volume 9, Number 3 (2016), 411-414.

Received: 1 December 2014
Revised: 20 March 2015
Accepted: 5 April 2015
First available in Project Euclid: 22 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11H06: Lattices and convex bodies [See also 11P21, 52C05, 52C07]

weak visibility lattice point


Nicholson, Neil R.; Rachan, Rebecca. On weak lattice point visibility. Involve 9 (2016), no. 3, 411--414. doi:10.2140/involve.2016.9.411.

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