Restricted Steinhaus sets in the plane
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.
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
Affiliations des auteurs :
Devon Henkis 1 ; Steve Jackson 1 ; Jeff Lobe 1
@article{10_4064_fm260_7_2016,
author = {Devon Henkis and Steve Jackson and Jeff Lobe},
title = {Restricted {Steinhaus} sets in the plane},
journal = {Fundamenta Mathematicae},
pages = {153--166},
publisher = {mathdoc},
volume = {238},
number = {2},
year = {2017},
doi = {10.4064/fm260-7-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm260-7-2016/}
}
TY - JOUR AU - Devon Henkis AU - Steve Jackson AU - Jeff Lobe TI - Restricted Steinhaus sets in the plane JO - Fundamenta Mathematicae PY - 2017 SP - 153 EP - 166 VL - 238 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm260-7-2016/ DO - 10.4064/fm260-7-2016 LA - en ID - 10_4064_fm260_7_2016 ER -
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
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