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Covering the crosspolytope by equal balls
Authors:Károly Böröczky Jr  Ildikó Fábián  Gergely Wintsche
Institution:2401. Alfréd Rényi Institute of Mathematics & Department of Geometry, E?tv?s Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary & H--1364, Budapest, P.O. Box 127, Hungary
2402. Alfréd Rényi Institute of Mathematics, H--1364, Budapest, P.O. Box 127, Hungary
2403. Department of Geometry, E?tv?s Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary
Abstract: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.
Keywords:covering by equal balls  finite coverings
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