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

We determine the minimal radius of \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $n=2$ \end{document}, \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $d$ \end{document} or \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $2d$ \end{document} congruent balls, which cover the \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $d$ \end{document}-dimensional crosspolytope.

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