Minimum perimeter partitions of the plane into equal numbers of regions of two different areas

被引：0

作者：

M.A. Fortes

P.I.C. Teixeira

机构：

[1] Departamento de Engenharia de Materiais e Instituto de Ciência e Engenharia de Materiais e Superfıcies,

[2] Instituto Superior Técnico,undefined

[3] Avenida Rovisco Pais,undefined

[4] P-1049-001 Lisboa,undefined

[5] Portugal,undefined

来源：

The European Physical Journal E | 2001年 / 6卷

关键词：

PACS. 83.80.Iz Emulsions and foams;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We identify the minimum-perimeter periodic tilings of the plane by equal numbers of regions (cells) of areas 1 and λ (minimal tilings), with at most two cells of each area per period and for which all cells of the same area are topologically equivalent. For λ close to 1 the minimal tiling is hexagonal. For smaller values of λ the minimal tilings contain pairs of 5/7, 4/8 and 3/9 cells, the cells with fewer sides having smaller area. The correlation between area fraction and number of sides in the minimal tilings is approximately linear and consistent with Lewis' law.

引用

页码：133 / 137

页数：4