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Journal for Geometry and Graphics 23 (2019), No. 1, 001--003
Copyright Heldermann Verlag 2019

On the Number of Points at Distance at Least 1 in the Unit Four-Dimensional Cube

Peter Adamko
Dept. of Quantitative Methods, University of Zilina, Univerzitna 8215/1, 010 26 Zilina, Slovakia

We give an elementary proof of the following theorem: The maximum number of points which one can choose in the unit four-dimensional cube so that all mutual distances are at least one is 17.

Keywords: Extremum, packing of cubes.

MSC: 52C17.

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