## Involve: A Journal of Mathematics

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

### On weak lattice point visibility

Neil R. Nicholson and Rebecca Rachan

#### 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.

#### Article information

**Source**

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

**Dates**

Received: 1 December 2014

Revised: 20 March 2015

Accepted: 5 April 2015

First available in Project Euclid: 22 November 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.involve/1511371021

**Digital Object Identifier**

doi:10.2140/involve.2016.9.411

**Mathematical Reviews number (MathSciNet)**

MR3509334

**Zentralblatt MATH identifier**

1381.11056

**Subjects**

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

**Keywords**

weak visibility lattice point

#### Citation

Nicholson, Neil R.; Rachan, Rebecca. On weak lattice point visibility. Involve 9 (2016), no. 3, 411--414. doi:10.2140/involve.2016.9.411. https://projecteuclid.org/euclid.involve/1511371021