The number of faces in a minimal foam

The number of faces in a minimal foam
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最小泡沫中的面数

DOI:
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发表时间:
1992
期刊:
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
影响因子:
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通讯作者:
R. Kusner
R. Kusner
中科院分区:
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文献类型:
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作者:
R. Kusner

文献摘要

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相似文献

我们推导出最小表面泡沫中每个细胞的平均面数的公式。在R3中周期性最小泡沫的情况下,这个公式意味着基本单元至少有14个面,这是上个世纪开尔文的例子所达到的下限。
We derive a formula for the average number of faces per cell in a foam of minimal surfaces. In case of periodic minimal foam in R3 this formula implies that the fundamental cell has at least 14 faces, a lower bound achieved by Kelvin’s example from the last century.