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Covering the 5-dimensional unit cube by eight congruent balls

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Abstract

We show that the minimal radius of eight congruent balls which cover the 5-dimensional unit cube is \(\sqrt{2/3}\).

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Acknowledgements

The author is indebted to Swanepoel for the helpful remarks.

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Authors and Affiliations

  1. University of Dunaújváros, Táncsics Mihály utca 1/A, Dunaújváros, 2400, Hungary

    Antal Joós

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  1. Antal Joós
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Correspondence to Antal Joós.

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Joós, A. Covering the 5-dimensional unit cube by eight congruent balls. Period Math Hung 77, 77–82 (2018). https://doi.org/10.1007/s10998-018-0241-4

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  • DOI: https://doi.org/10.1007/s10998-018-0241-4

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