PERFECT PACKING OF D-CUBES

被引：4
|
作者：
Joos, A. [1 ]
机构：
[1] Univ Dunaujvaros, Tancsics Mihaly Utca 1-A, H-2400 Dunaujvaros, Hungary
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷
关键词：
packing; d-cube; tiling; RECTANGLES; SQUARES;
D O I：
10.33048/semi.2020.17.062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A packing of d-cubes into a d-box of the right area is called perfect packing. Since Sigma(infinity )(i=1)1/i(dt )= zeta(dt), it can be asked for which t can be found a perfect packing of the d-cubes of edge lengths 1, 2(-t), 3(-t) ... into a d-box of the right area. In this paper an algorithm will be presented which packs the d-cubes of edge lengths 1, 2(-t), 3(-t), ... into a d-box of area zeta(dt) for any t on the interval [d(0), 2(d-1)/(d2(d-1)- 1)], where d(0) depends on d only.
引用
收藏
页码：853 / 864
页数：12
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