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Abstract  

We give a very short survey of the results on placing of points into the unit n-dimensional cube with mutual distances at least one. The main result is that into the 5-dimensional unit cube there can be placed no more than 40 points.

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Authors: Vojtech Bálint, Vojtech Bálint and Pavel Novotný

Joós A. Arrangement of points in convex bodies, Ph.D. thesis, (in Hungarian), 2008. Joós A. On the number of points at distance at least 1 in the 5-dimensional unit cube, Acta Sci. Math. Vol. 76, 2010, No. 1

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