Covering the 5-dimensional unit cube by eight congruent balls (Q1669685)
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scientific article; zbMATH DE number 6931203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Covering the 5-dimensional unit cube by eight congruent balls |
scientific article; zbMATH DE number 6931203 |
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Covering the 5-dimensional unit cube by eight congruent balls (English)
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3 September 2018
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\textit{P. Brass} et al. [Research problems in discrete geometry. New York, NY: Springer (2005; Zbl 1086.52001)] listed the problem of covering the \(d\)-dimensional unit cube with \(n\) congruent balls of the smallest possible radius. The paper under review answers the \(d=5\), \(n=8\) instance of the problem, showing that the smallest possible radius is \(\sqrt{2/3}\).
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covering
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cube
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ball
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