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Covering the crosspolytope by equal balls

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Summary

We determine the minimal radius of <InlineEquation ID=IE"1"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"2"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"3"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"4"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"5"><EquationSource Format="TEX"><![CDATA[$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>n=2$, $d$ or $2d$ congruent balls, which cover the $d$-dimensional crosspolytope.

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Authors and Affiliations

  1. Alfréd Rényi Institute of Mathematics & Department of Geometry, Eötvös Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary & H--1364, Budapest, P.O. Box 127, Hungary

    Károly Böröczky Jr.

  2. Alfréd Rényi Institute of Mathematics, H--1364, Budapest, P.O. Box 127, Hungary

    Ildikó Fábián

  3. Department of Geometry, Eötvös Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary

    Gergely Wintsche

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  1. Károly Böröczky Jr.
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  2. Ildikó Fábián
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  3. Gergely Wintsche
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Böröczky Jr., K., Fábián, I. & Wintsche, G. Covering the crosspolytope by equal balls. Period Math Hung 53, 103–113 (2006). https://doi.org/10.1007/s10998-006-0024-1

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  • DOI: https://doi.org/10.1007/s10998-006-0024-1

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