The Problem of the Thirteen Spheres
The Problem of the Thirteen Spheres
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十三界问题
DOI：
10.2307/3610264
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发表时间：
1956
期刊：
影响因子：
--
通讯作者：
J. Leech
中科院分区：
文献类型：
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作者：
J. Leech
大卫·格雷戈里推测，一个球体可以接触到与其相等的13个不重叠的球体。在最近的一篇论文中，有证据表明这实际上是不可能的。在这篇论文中，我概述了这一不可能性的独立证明，某些细节是乏味的，而不是困难的被省略。
It was conjectured by David Gregory that a sphere can touch thirteen non-overlapping spheres equal to it. In a recent paper proofs have been given that this in fact is impossible. In the present paper I outline an independent proof of this impossibility, certain details which are tedious rather than difficult being omitted.