A COUNTEREXAMPLE TO KELVIN CONJECTURE ON MINIMAL-SURFACES

被引：440

作者：

WEAIRE, D

PHELAN, R

机构：

[1] Department of Pure and Applied Physics, Trinity College

来源：

PHILOSOPHICAL MAGAZINE LETTERS | 1994年 / 69卷 / 02期

关键词：

D O I：

10.1080/09500839408241577

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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 beta-tungsten structure. Its surface area is approximately 0.3% less than that of Kelvin's structure.

引用

页码：107 / 110

页数：4

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