A counter-example to Kelvin's conjecture on minimal surfaces
A counter-example to Kelvin's conjecture on minimal surfaces
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DOI：
10.1080/09500839408241577
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发表时间：
1994-02
影响因子：
1.2
通讯作者：
D. Weaire;R. Phelan
中科院分区：
文献类型：
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作者：
D. Weaire;R. Phelan
抽象的开尔文猜想，即BC他的最小四面体的安排将空间划分为最小表面积的相等单元，已经存在了一百多年。我们发现了一个反例，其结构类似于某些笼形化合物的结构，也与β-钨结构有关。它的表面积比开尔文结构小约0.3%。
Abstract Kelvin's conjecture, that a b.c.c. arrangement of his minimal tetrakaidecahedron divides space into equal cells of minimum surface area, has stood for over one hundred years. We have found a counter-example, in the form of a structure analogous to that of some clathrate compounds and also related to the β-tungsten structure. Its surface area is approximately 0.3% less than that of Kelvin's structure.