THE NUMBER OF FACES IN A MINIMAL FOAM

被引:22
作者
KUSNER, R
机构
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1992年 / 439卷 / 1907期
关键词
D O I
10.1098/rspa.1992.0177
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:683 / 686
页数:4
相关论文
共 12 条