A note on the no-three-in-line problem on a torus
Zofia Stępień, Aleksander Misiak, Alicja Szymaszkiewicz, Lucjan Szymaszkiewicz, Maciej Zwierzchowski · arXiv (Cornell University) · 2014
In this paper we show that at most $2 \gcd(m,n)$ points can be placed with no three in a line on an $m\times n$ discrete torus. In the situation when $\gcd(m,n)$ is a prime, we completely solve the problem.