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  • Author or Editor: Vojtech Bálint x
  • Mathematics and Statistics x
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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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Abstract  

We present a very short survey of known results and many new estimates and results on the maximum number of points that can be chosen in the n-dimensional unit cube so that every distance between them is at least 1.

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Abstract  

Combinatorial inequalities and some of their geometrical consequences are generalized. The result of the Theorem is the best possible one.

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