摘要
针对六角密堆积给出了一个新的证明方法.构造一个单纯形的球覆盖系统,得到球体填充密度的一个上界.在二维空间中,可以给出一个密度达到上界的填充,此时该上界就是上确界,最终得到平面圆堆积情形的相关结果.
A new proof method for hexagonal close packing is presented.A simplex spherical covering system is constructed and an upper bound of the sphere packing density is obtained.In 2-dimensional space,we can give a packing whose density reaches the upper bound,which is the least upper bound,and finally get the relevant result for the case of planar circle packing.
作者
邹宗丰
ZOU Zongfeng(School of Science,Jimei University,Xiamen 361021,China)
出处
《湘潭大学学报(自然科学版)》
2025年第1期74-85,共12页
Journal of Xiangtan University(Natural Science Edition)
