Geodesic
Restricted Steinhaus sets in the plane
Devon Henkis1 ; Steve Jackson1 ; Jeff Lobe1
1 Department of Mathematics University of North Texas Denton, TX 76203, U.S.A.
Fundamenta Mathematicae, Tome 238 (2017) no. 2, pp. 153-166.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For each prime $p$ we show the existence of a partial Steinhaus set in the plane for the prime $p$ which can be obtained from the points $\{ ({i/p}, {j/p}) : 0 \leq i,j \lt p\}$ by translating by integer amounts only in the horizontal direction. We raise several questions concerning these sets.
DOI : 10.4064/fm260-7-2016
Keywords: each prime existence partial steinhaus set plane prime which obtained points leq translating integer amounts only horizontal direction raise several questions concerning these sets

Devon Henkis 1 ; Steve Jackson 1 ; Jeff Lobe 1

1 Department of Mathematics University of North Texas Denton, TX 76203, U.S.A. 
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Devon Henkis; Steve Jackson; Jeff Lobe. Restricted Steinhaus sets in the plane. Fundamenta Mathematicae, Tome 238 (2017) no. 2, pp. 153-166. doi : 10.4064/fm260-7-2016. http://geodesic.mathdoc.fr/articles/10.4064/fm260-7-2016/

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