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arXiv · 1406.6713

A note on the no-three-in-line problem on a torus

Zofia Stȩpień·Aleksander Misiak·Alicja Szymaszkiewicz·Lucjan Szymaszkiewicz·Maciej Zwierzchowski
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Abstract

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.

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Zofia Stȩpień, Aleksander Misiak, Alicja Szymaszkiewicz, Lucjan Szymaszkiewicz, Maciej Zwierzchowski. 2015-09-01. A note on the no-three-in-line problem on a torus. https://arxiv.org/abs/1406.6713

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