Covering the Sphere with Equal Circles

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作者
Lienhard Wimmer
机构
[1] NTA Isny,
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关键词
Covering; Sphere; Equal circles; Schütte arrangement; Spherical arrangement; 52C15; 52C17; 51M16;
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摘要
How has a sphere to be covered by n equal circles so that the angular radius of the circles will be as small as possible? In this note the problem is solved for n=8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n=8$$\end{document} and the combinatorial type of the solution for n=9\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n = 9$$\end{document} is determined.
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页码:763 / 781
页数:18
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